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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
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, First View

Article
The Schur–Agler class in infinitely many variables
Greg Knese
Canadian Mathematical Bulletin, First View

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

Article
Random analytic functions with a prescribed growth rate in the unit disk
Xiang Fang, Pham Trong Tien
Canadian Journal of Mathematics, Volume 77, Issue 5

Article
Spectral theory of the invariant Laplacian on the disk and the sphere – a complex analysis approach
Michael Heins, Annika Moucha, Oliver Roth
Canadian Journal of Mathematics, Volume 77, Issue 3

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Geometric function theory (30Cxx)

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

Article
Phragmén–Lindelöf principles and Julia limiting directions of quasiregular mappings
ALASTAIR N. FLETCHER, JULIE M. STERANKA
Ergodic Theory and Dynamical Systems, First View

Article
On quasiconformal non-equivalence of gasket Julia sets and limit sets
YUSHENG LUO, YONGQUAN ZHANG
Ergodic Theory and Dynamical Systems, First View

Article
VARIABILITY REGIONS FOR THE nth DERIVATIVE OF BOUNDED ANALYTIC FUNCTIONS
GANGQIANG CHEN
Bulletin of the Australian Mathematical Society, Volume 112, Issue 2

Article
Schwarz lemma for harmonic functions in the unit ball
Zhenghua Xu, Ting Yu, Qinghai Huo
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 2

Article
On boundary-non-preserving mappings with Poletsky inequality
Victoria Desyatka, Evgeny Sevost’yanov
Canadian Mathematical Bulletin, Volume 68, Issue 3

Article
UPPER BOUNDS ON POLYNOMIAL ROOT SEPARATION
GREG KNAPP, CHI HOI YIP
Bulletin of the Australian Mathematical Society, Volume 112, Issue 2

Article
Finely quasiconformal mappings
Panu Lahti
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

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

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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, First View

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, First View

Article
On an open problem of value sharing and differential equations
Molla Basir Ahamed, Vasudevarao Allu
Proceedings of the Edinburgh Mathematical Society, First View

Article
On meromorphic solutions of certain partial differential equations
Feng Lü
Canadian Mathematical Bulletin, First View

Article
A residue theorem for rational functions on star-shaped domains
Mostafa Nasri
Canadian Mathematical Bulletin, Volume 68, Issue 3

Article
Transcendental Julia sets of minimal Hausdorff dimension
JACK BURKART, KIRILL LAZEBNIK
Ergodic Theory and Dynamical Systems, Volume 45, Issue 8

Article
A note on Hayman’s problem
Jiaxing Huang, Yuefei Wang
Canadian Mathematical Bulletin, Volume 68, Issue 2

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

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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

Article
Twisted cohomological equations for translation flows
GIOVANNI FORNI
Ergodic Theory and Dynamical Systems, Volume 42, Issue 3

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Riemann surfaces (30Fxx)

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Article
On congruence subgroups generated by two parabolic rational matrices
CARL-FREDRIK NYBERG-BRODDA
Mathematical Proceedings of the Cambridge Philosophical Society, First View

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
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

Article
Bi-algebraic geometry of strata of differentials in genus zero
Frederik Benirschke
Compositio Mathematica, Volume 161, Issue 3

Article
Counting problems from the viewpoint of ergodic theory: from primitive integer points to simple closed curves
FRANCISCO ARANA-HERRERA
Ergodic Theory and Dynamical Systems, Volume 45, Issue 5

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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
Lacunas in the Support of the Weyl Calculus for Two Hermitian Matrices
Brian Jefferies, Bernd Straub
Journal of the Australian Mathematical Society, Volume 75, Issue 1

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Spaces and algebras of analytic functions (30Hxx)

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Article
A Cesàro-like operator from a class of analytic function spaces to analytic Besov spaces
Pengcheng Tang
Canadian Mathematical Bulletin, First View

Article
A note on composition operators on the disc and bidisc
Athanasios Beslikas
Canadian Mathematical Bulletin, First View

Article
FINITE LINEAR COMBINATIONS OF MONOMIAL TOEPLITZ PRODUCTS ON THE BERGMAN SPACE
KAIXUAN CAO, XINGTANG DONG, RUIMENG LIU
Journal of the Australian Mathematical Society, Volume 119, Issue 1

Article
Isometric dilation and Sarason’s commutant lifting theorem in several variables
B. Krishna Das, Samir Panja
Canadian Journal of Mathematics, First View

Article
Cyclicity of the shift operator through Bezout identities
Emmanuel Fricain, Romain Lebreton
Canadian Mathematical Bulletin, Volume 68, Issue 3

Article
Elliptic hyperlogarithms
Benjamin Enriquez, Federico Zerbini
Canadian Journal of Mathematics, First View

Article
New aspects of Bargmann transform using Touchard polynomials and hypergeometric functions
Daniel Alpay, Antonino De Martino, Kamal Diki
Canadian Journal of Mathematics, First View

Article
Nearly invariant Brangesian subspaces
Arshad Khan, Sneh Lata, Dinesh Singh
Canadian Mathematical Bulletin, Volume 68, Issue 1

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Function theory on the disc (30Jxx)

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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

Article
Characterizations of Hankel operators in the essential commutant of quasicontinuous Toeplitz operators
Yi Yan
Canadian Mathematical Bulletin, Volume 65, Issue 1

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

Article
FRACTIONAL TYPE MARCINKIEWICZ INTEGRAL AND ITS COMMUTATOR ON NONHOMOGENEOUS SPACES
GUANGHUI LU
Nagoya Mathematical Journal, Volume 248

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

Article
Quasiconformality and hyperbolic skew
COLLEEN ACKERMANN, ALASTAIR FLETCHER
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 171, Issue 3

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
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
The blowup-polynomial of a metric space: connections to stable polynomials, graphs and their distance spectra
Projesh Nath Choudhury, Apoorva Khare
Canadian Journal of Mathematics, Volume 76, Issue 6

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

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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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