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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Landen inequalities for special functions


Author: Árpád Baricz
Journal: Proc. Amer. Math. Soc. 142 (2014), 3059-3066
MSC (2010): Primary 39B62, 33C05
Published electronically: May 8, 2014
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Abstract: 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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Árpád Baricz
Affiliation: Department of Economics, Babeş-Bolyai University, Cluj-Napoca 400591, Romania
Email: bariczocsi@yahoo.com

DOI: http://dx.doi.org/10.1090/S0002-9939-2014-12016-8
PII: S 0002-9939(2014)12016-8
Keywords: Hypergeometric functions, power series, Landen inequalities.
Received by editor(s): August 23, 2012
Received by editor(s) in revised form: September 10, 2012
Published electronically: May 8, 2014
Communicated by: Walter Van Assche
Article copyright: © Copyright 2014 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.