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On generalized complete elliptic integrals and modular functions

Part of: Elementary classical functions

Published online by Cambridge University Press:  12 April 2012

B. A. Bhayo  and
M. Vuorinen
B. A. Bhayo
Affiliation:
Department of Mathematics, University of Turku, 20014 Turku, Finland (barbha@utu.fi; vuorinen@utu.fi)
M. Vuorinen
Affiliation:
Department of Mathematics, University of Turku, 20014 Turku, Finland (barbha@utu.fi; vuorinen@utu.fi)
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Abstract

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This paper deals with generalized elliptic integrals and generalized modular functions. Several new inequalities are given for these and related functions.

Keywords

modular equationgeneralized elliptic integralgeometric function theory

MSC classification

Secondary: 33C99: None of the above, but in this section 33B99: None of the above, but in this section
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 55 , Issue 3 , October 2012 , pp. 591 - 611
Copyright
Copyright © Edinburgh Mathematical Society 2012

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