Landen inequalities for special functions

In this paper our aim is to present some Landen inequalities for Gaussian hypergeometric functions, confluent hypergeometric functions, generalized Bessel functions and general power series. Our main results complement and generalize some known results in the literature.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2014-09, Vol.142 (9), p.3059-3066
Main Author: Árpád Baricz
Format: Article
Language:English
Subjects:
Bessel functions
Hypergeometric functions
Mathematical inequalities
Mathematical theorems
Power series
Special functions
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Description
Summary:In this paper our aim is to present some Landen inequalities for Gaussian hypergeometric functions, confluent hypergeometric functions, generalized Bessel functions and general power series. Our main results complement and generalize some known results in the literature.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-2014-12016-8