Bernoulli inequality and hypergeometric functions
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- by Riku Klén, Vesna Manojlović, Slavko Simić and Matti Vuorinen PDF
- Proc. Amer. Math. Soc. 142 (2014), 559-573 Request permission
Abstract:
Bernoulli type inequalities for functions of logarithmic type are given. These functions include, in particular, Gaussian hypergeometric functions in the zero-balanced case $F(a,b;a+b;x).$References
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Additional Information
- Riku Klén
- Affiliation: Department of Mathematics and Statistics, University of Turku, 20014 Turku, Finland
- Email: ripekl@utu.fi
- Vesna Manojlović
- Affiliation: Faculty of Organizational Sciences, University of Belgrade, Jove Ilica 154, 11000 Belgrade, Serbia
- Email: vesnam@fon.rs
- Slavko Simić
- Affiliation: Mathematical Institute SANU, Kneza Mihaila 36, 11000 Belgrade, Serbia
- Email: ssimic@turing.mi.sanu.ac.rs
- Matti Vuorinen
- Affiliation: Department of Mathematics and Statistics, University of Turku, 20014 Turku, Finland
- MR Author ID: 179630
- Email: vuorinen@utu.fi
- Received by editor(s): July 21, 2011
- Received by editor(s) in revised form: March 20, 2012
- Published electronically: October 25, 2013
- Additional Notes: The fourth author was supported by the Academy of Finland, project 2600066611
- Communicated by: Walter Van Assche
- © Copyright 2013 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 142 (2014), 559-573
- MSC (2010): Primary 26D07, 33C05
- DOI: https://doi.org/10.1090/S0002-9939-2013-11781-8
- MathSciNet review: 3133997