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Welcome to the mathematics research hub for papers categorised under MSC 2010 classifications as Functions of a Complex Variable. Papers on this page are organised in collections from 30- through 30L, although not all collections may have papers published in that area at this time. Visit the MSC2010 database from MathScinet for a full list of codes.

Jump to the following areas

30-xx: Functions of a complex variable 30Axx: General properties 30Bxx:Series expansions 30Cxx: Geometric function theory 30Dxx: Entire and meromorphic functions, and related topics 30Exx: Miscellaneous topics of analysis in the complex domain 30Fxx: Riemann surfaces 30Gxx: Generalized function theory 30Hxx: Spaces and algebras of analytic functions 30Jxx: Function theory on the disc 30Kxx: Universal holomorphic functions 30Lxx: Analysis on metric spaces

Functions of a complex variable (30-XX)

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General properties (30Axx)

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Article
Nonlinear Beltrami equation: lower estimates of Schwarz lemma’s type
Igor Petkov, Ruslan Salimov, Mariia Stefanchuk
Canadian Mathematical Bulletin, Volume 67, Issue 3

Article
Refined Bohr inequalities for certain classes of functions: analytic, univalent, and convex
Sabir Ahammed, Molla Basir Ahamed
Canadian Mathematical Bulletin, Volume 67, Issue 1

Article
BOUNDS FOR FUNCTIONALS DEFINED ON A CERTAIN CLASS OF MEROMORPHIC FUNCTIONS
BAPPADITYA BHOWMIK, FIRDOSHI PARVEEN
Bulletin of the Australian Mathematical Society, Volume 109, Issue 1

Article
On the derivative of a polynomial
Prasanna Kumar
Proceedings of the Edinburgh Mathematical Society, Volume 65, Issue 2

Article
INTEGRAL MEANS OF UNIVALENT FUNCTIONS ON AN ANNULUS
FAREEDA BEGUM
Bulletin of the Australian Mathematical Society, Volume 103, Issue 3

Article
DIFFERENTIAL INEQUALITIES AND A MARTY-TYPE CRITERION FOR QUASI-NORMALITY
JÜRGEN GRAHL, TOMER MANKET, SHAHAR NEVO
Journal of the Australian Mathematical Society, Volume 105, Issue 1

Article
Fischer Decomposition and Cauchy–Kovalevskaya Extension in Fractional Clifford Analysis: The Riemann–Liouville Case
N. Vieira
Proceedings of the Edinburgh Mathematical Society, Volume 60, Issue 1

Article
A PROBABILISTIC PROOF OF THE OPEN MAPPING THEOREM FOR ANALYTIC FUNCTIONS
GREG MARKOWSKY
Bulletin of the Australian Mathematical Society, Volume 90, Issue 1

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Series expansions (30Bxx)

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Article
Applications of AAA rational approximation
Yuji Nakatsukasa, Lloyd N. Trefethen
Acta Numerica, Volume 35

Article
On the rate of growth of random analytic functions, with an application to linear dynamics
Kevin Agneessens, Karl Grosse-Erdmann
Canadian Journal of Mathematics, First View

Article
AN ASYMPTOTIC ESTIMATE FOR THE CHARACTERISTIC AND NUMBER OF FIXED POINTS OF THE RIEMANN ZETA FUNCTION
BAO QIN LI, JÖRN STEUDING, YUTA SUZUKI
Nagoya Mathematical Journal, Volume 260

Article
The Schur–Agler class in infinitely many variables
Greg Knese
Canadian Mathematical Bulletin, Volume 69, Issue 1

Article
MAILLET’S PROPERTY AND MAHLER’S CONJECTURE ON LIOUVILLE NUMBERS FAIL FOR MATRICES
JOHANNES SCHLEISCHITZ
Journal of the Australian Mathematical Society, Volume 119, Issue 1

Article
Volterra operators between Hardy spaces of vector-valued Dirichlet series
Jiale Chen
Canadian Mathematical Bulletin, Volume 68, Issue 1

Article
RADIAL ASYMPTOTICS OF GENERATING FUNCTIONS OF k-REGULAR SEQUENCES
MICHAEL COONS, JOHN LIND
Bulletin of the Australian Mathematical Society, Volume 110, Issue 3

Article
Solid bases and functorial constructions for (p-)Banach spaces of analytic functions
Guozheng Cheng, Xiang Fang, Chao Liu, Yufeng Lu
Proceedings of the Edinburgh Mathematical Society, Volume 67, Issue 4

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Geometric function theory (30Cxx)

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Article
ON THE INJECTIVITY OF EVALUATION MAPS INDUCED BY POLYNOMIALS ON CERTAIN ALGEBRAS
FRANK KUTZSCHEBAUCH, TRAN NAM SON, PHAM DUY VINH
Bulletin of the Australian Mathematical Society, First View

Article
Computing the probability of intersection
Alexander Barvinok
Combinatorics, Probability and Computing, First View

Article
Shapiro’s problem on polynomials with large partial sums of coefficients
Marc Technau
Forum of Mathematics, Sigma, Volume 14

Article
BURKHOLDER’S EXIT-TIME CONDITION VIA PROPER MAPS: SMIRNOV REGULARITY, HARDY–ORLICZ CRITERIA AND TORSION-TYPE PROBLEMS
MRABET BECHER
Bulletin of the Australian Mathematical Society, First View

Article
THE THIRD HANKEL DETERMINANT FOR INVERSE COEFFICIENTS OF CONVEX FUNCTIONS
VASUDEVARAO ALLU, SHOBHIT KUMAR
Bulletin of the Australian Mathematical Society, First View

Article
Uniformisation of intrinsic Gromov hyperbolic spaces with Busemann functions
VASUDEVARAO ALLU, ALAN P JOSE
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 181, Issue 1

Article
Metric projections, zeros of optimal polynomial approximants, and some extremal problems in Hardy spaces
Catherine Bénéteau, Raymond Cheng, Christopher Felder, Dmitry Khavinson, Myrto Manolaki, Konstantinos Maronikolakis
Canadian Journal of Mathematics, First View

Article
A NOTE ON THE PLANAR SKOROKHOD EMBEDDING PROBLEM
MAHER BOUDABRA
Bulletin of the Australian Mathematical Society, First View

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Entire and meromorphic functions, and related topics (30Dxx)

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Article
A note on the boundary dynamics of holomorphic iterated function systems
ARGYRIOS CHRISTODOULOU
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
BURKHOLDER’S EXIT-TIME CONDITION VIA PROPER MAPS: SMIRNOV REGULARITY, HARDY–ORLICZ CRITERIA AND TORSION-TYPE PROBLEMS
MRABET BECHER
Bulletin of the Australian Mathematical Society, First View

Article
All meromorphic solutions of Fermat-type functional equations
Feng Lü
Nagoya Mathematical Journal, Volume 261

Article
COMPLEX DIFFERENTIAL EQUATIONS AND SYSTEMS FROM TRIGONOMETRIC FORMULAS
KAI LIU, YINHAO GUO, LINKUI GAO
Bulletin of the Australian Mathematical Society, Volume 113, Issue 3

Article
On the rate of growth of random analytic functions, with an application to linear dynamics
Kevin Agneessens, Karl Grosse-Erdmann
Canadian Journal of Mathematics, First View

Article
AN ASYMPTOTIC ESTIMATE FOR THE CHARACTERISTIC AND NUMBER OF FIXED POINTS OF THE RIEMANN ZETA FUNCTION
BAO QIN LI, JÖRN STEUDING, YUTA SUZUKI
Nagoya Mathematical Journal, Volume 260

Article
Semigroups of holomorphic functions; rectifiability and Lipschitz properties of the orbits
Dimitrios Betsakos, Konstantinos Zarvalis
Canadian Journal of Mathematics, First View

Article
A study of transcendental entire solutions of several nonlinear partial differential equations
Hong Yan Xu, Hari Mohan Srivastava
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 4

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Miscellaneous topics of analysis in the complex domain (30Exx)

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Article
Metric projections, zeros of optimal polynomial approximants, and some extremal problems in Hardy spaces
Catherine Bénéteau, Raymond Cheng, Christopher Felder, Dmitry Khavinson, Myrto Manolaki, Konstantinos Maronikolakis
Canadian Journal of Mathematics, First View

Article
MIXED BOUNDARY VALUE PROBLEM IN MICROFLUIDICS: THE AVER’YANOV–BLUNT MODEL REVISITED
ANVAR KACIMOV, YURII OBNOSOV
The ANZIAM Journal, Volume 67

Article
Growth of hypercyclic functions: a continuous path between $\mathcal{U}$-frequent hypercyclicity and hypercyclicity
Augustin Mouze, Vincent Munnier
Proceedings of the Edinburgh Mathematical Society, Volume 67, Issue 3

Article
Inhomogeneous Poisson processes in the disk and interpolation
Andreas Hartmann, Xavier Massaneda
Proceedings of the Edinburgh Mathematical Society, Volume 67, Issue 3

Article
Asymptotic expansions relating to the distribution of the length of longest increasing subsequences
Folkmar Bornemann
Forum of Mathematics, Sigma, Volume 12

Article
Karamata’s theorem for regularized Cauchy transforms
Matthias Langer, Harald Woracek
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 155, Issue 4

Article
Some remarks on approximation in several complex variables
Javier Falcó, Paul M. Gauthier, Myrto Manolaki, Vassili Nestoridis
Canadian Mathematical Bulletin, Volume 66, Issue 2

Article
Profiling ponded soil surface in saturated seepage into drain-line sink: Kalashnikov’s method of lateral leaching revisited
A. R. KACIMOV, YU. V. OBNOSOV
European Journal of Applied Mathematics, Volume 34, Issue 2

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Riemann surfaces (30Fxx)

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Article
2-Elongated plane partitions and powers of 7: the localization method applied to a genus 1 congruence family
Koustav Banerjee, Nicolas Smoot
Canadian Journal of Mathematics, First View

Article
On congruence subgroups generated by two parabolic rational matrices
CARL-FREDRIK NYBERG-BRODDA
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 180, Issue 1

Article
The space of solvable Pell–Abel equations
Andrei Bogatyrëv, Quentin Gendron
Compositio Mathematica, Volume 161, Issue 7

Article
Random walks and contracting elements I: deviation inequality and limit laws
Inhyeok Choi
Compositio Mathematica, Volume 161, Issue 7

Article
CHARACTER VARIETIES, EARTHQUAKES AND ESSENTIAL SURFACES
GRACE SHANTI GARDEN
Bulletin of the Australian Mathematical Society, Volume 112, Issue 2

Article
Determination of period matrix of double of surface with boundary via its DN map
Dmitrii Korikov
Canadian Journal of Mathematics, First View

Article
Uniform models and short curves for random 3-manifolds
Peter Feller, Alessandro Sisto, Gabriele Viaggi
Compositio Mathematica, Volume 161, Issue 3

Article
Stratified braid groups: monodromy
NICK SALTER
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 178, Issue 2

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Generalized function theory (30Gxx)

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Article
The Fueter-Sce mapping and the Clifford–Appell polynomials
Antonino De Martino, Kamal Diki, Ali Guzmán Adán
Proceedings of the Edinburgh Mathematical Society, Volume 66, Issue 3

Article
Bohr theorems for slice regular functions over octonions
Zhenghua Xu
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 151, Issue 5

Article
ALGEBRAIC SURFACES WITH INFINITELY MANY TWISTOR LINES
A. ALTAVILLA, E. BALLICO
Bulletin of the Australian Mathematical Society, Volume 101, Issue 1

Article
Division algebras of slice functions
Riccardo Ghiloni, Alessandro Perotti, Caterina Stoppato
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 150, Issue 4

Article
On a Criterion of Local Invertibility and Conformality for Slice Regular Quaternionic Functions
Anna Gori, Fabio Vlacci
Proceedings of the Edinburgh Mathematical Society, Volume 62, Issue 1

Article
From Hankel Operators to Carleson Measures in a Quaternionic Variable
Nicola Arcozzi, Giulia Sarfatti
Proceedings of the Edinburgh Mathematical Society, Volume 60, Issue 3

Article
Fischer Decomposition and Cauchy–Kovalevskaya Extension in Fractional Clifford Analysis: The Riemann–Liouville Case
N. Vieira
Proceedings of the Edinburgh Mathematical Society, Volume 60, Issue 1

Article
Calderón-type reproducing formulae on Lipschitz curves and surfaces
Tao Qian
Journal of the Australian Mathematical Society, Volume 72, Issue 1

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Spaces and algebras of analytic functions (30Hxx)

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Article
BURKHOLDER’S EXIT-TIME CONDITION VIA PROPER MAPS: SMIRNOV REGULARITY, HARDY–ORLICZ CRITERIA AND TORSION-TYPE PROBLEMS
MRABET BECHER
Bulletin of the Australian Mathematical Society, First View

Article
WEIGHTED α-COMPOSITION AND RELATED FUNCTION SPACES
GUANLONG BAO, HASI WULAN, FANGQIN YE, KEHE ZHU
Journal of the Australian Mathematical Society, Volume 121, Issue 1

Article
Metric projections, zeros of optimal polynomial approximants, and some extremal problems in Hardy spaces
Catherine Bénéteau, Raymond Cheng, Christopher Felder, Dmitry Khavinson, Myrto Manolaki, Konstantinos Maronikolakis
Canadian Journal of Mathematics, First View

Article
The norm of the Hilbert matrix operator on Bergman spaces
Guanlong Bao, Liu Tian, Hasi Wulan
Canadian Mathematical Bulletin, First View

Article
On Dirichlet spaces with zero sets containing all Blaschke sequences
Georgios Charilas, Stamatis Pouliasis
Canadian Mathematical Bulletin, First View

Article
Note on real and imaginary parts of harmonic quasiregular mappings
Suman Das, Antti Rasila
Canadian Mathematical Bulletin, Volume 69, Issue 2

Article
Continuity and realization of multiplicative maps between RKHS and their cyclicity preserving properties
Mohana Rahul Nandan, Sukumar Daniel
Canadian Mathematical Bulletin, Volume 69, Issue 2

Article
A Cesàro-like operator from a class of analytic function spaces to analytic Besov spaces
Pengcheng Tang
Canadian Mathematical Bulletin, Volume 68, Issue 4

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Function theory on the disc (30Jxx)

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Article
On Dirichlet spaces with zero sets containing all Blaschke sequences
Georgios Charilas, Stamatis Pouliasis
Canadian Mathematical Bulletin, First View

Article
On the condition number of a Kreiss matrix
Stéphane Charpentier, Karine Fouchet, Rachid Zarouf
Canadian Mathematical Bulletin, Volume 66, Issue 4

Article
Constructions of some families of smooth Cauchy transforms
Adem Limani, Bartosz Malman
Canadian Journal of Mathematics, Volume 76, Issue 1

Article
Cyclic inner functions in growth classes and applications to approximation problems
Bartosz Malman
Canadian Mathematical Bulletin, Volume 66, Issue 3

Article
Model spaces invariant under composition operators
P. Muthukumar, Jaydeb Sarkar
Canadian Mathematical Bulletin, Volume 66, Issue 1

Article
Weakly separated Bessel systems of model spaces
Alberto Dayan
Canadian Mathematical Bulletin, Volume 65, Issue 3

Article
Invertibility Threshold for Nevanlinna Quotient Algebras
Artur Nicolau, Pascal J. Thomas
Canadian Journal of Mathematics, Volume 75, Issue 1

Article
On non-separated zero sequences of solutions of a linear differential equation
Igor Chyzhykov, Jianren Long
Proceedings of the Edinburgh Mathematical Society, Volume 64, Issue 2

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Universal holomorphic functions (30Kxx)

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Article
Abel universal functions
Stéphane Charpentier, Augustin Mouze
Canadian Journal of Mathematics, Volume 75, Issue 6

Article
Universal Entire Functions That Define Order Isomorphisms of Countable Real Sets
P. M. Gauthier
Canadian Mathematical Bulletin, Volume 62, Issue 4

Article
ON THE FREQUENT UNIVERSALITY OF UNIVERSAL TAYLOR SERIES IN THE COMPLEX PLANE
A. MOUZE, V. MUNNIER
Glasgow Mathematical Journal, Volume 59, Issue 1

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Analysis on metric spaces (30Lxx)

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Article
Weak porosity on metric measure spaces
Carlos Mudarra
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Sobolev spaces via chains in metric measure spaces
Emanuele Caputo, Nicola Cavallucci
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Uniformisation of intrinsic Gromov hyperbolic spaces with Busemann functions
VASUDEVARAO ALLU, ALAN P JOSE
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 181, Issue 1

Article
Quasisymmetrically rigid self-similar carpets
FENG RAO, FAN WEN
Ergodic Theory and Dynamical Systems, Volume 45, Issue 6

Article
MAXIMAL $\delta $-SEPARATED SETS IN SEPARABLE METRIC SPACES AND WEAK FORMS OF CHOICE
MICHAŁ DYBOWSKI, PRZEMYSŁAW GÓRKA, PAUL HOWARD
The Journal of Symbolic Logic, First View

Article
Teichmüller displacement theorem on Gromov hyperbolic spaces
Qingshan Zhou, Saminathan Ponnusamy, Qianghua Luo
Proceedings of the Edinburgh Mathematical Society, Volume 67, Issue 4

Article
Symmetrized and non-symmetrized asymptotic mean value Laplacian in metric measure spaces
Andreas Minne, David Tewodrose
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 155, Issue 3

Article
Hyperbolic Metric Spaces and Stochastic Embeddings
Chris Gartland
Forum of Mathematics, Sigma, Volume 13

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MSC 2010: Functions of a complex variable

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Functions of a complex variable (30-XX)

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General properties (30Axx)

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Series expansions (30Bxx)

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Geometric function theory (30Cxx)

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Entire and meromorphic functions, and related topics (30Dxx)

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Miscellaneous topics of analysis in the complex domain (30Exx)

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Riemann surfaces (30Fxx)

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Generalized function theory (30Gxx)

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Spaces and algebras of analytic functions (30Hxx)

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Function theory on the disc (30Jxx)

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Universal holomorphic functions (30Kxx)

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Analysis on metric spaces (30Lxx)

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