Balasubramanian, R. ; Ponnusamy, S. ; Vuorinen, M.
(1998)
*Functional inequalities for the quotients of hypergeometric functions*
Journal of Mathematical Analysis and Applications, 218
(1).
pp. 256-268.
ISSN 0022-247X

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1006/jmaa.1997.5776

## Abstract

Let F(a, b; c; x) be the Gaussian hypergeometric series and for 0 < r< 1 let[formula]G. D. Anderson, M. K. Vamanamurthy, and M. Vuorinen raised recently the following problem: For which a, b ∈ (0, 1) does[formula]hold for all r, s ∈ (0, 1)? They also proved this inequality for a = b = 1/2. The main purpose of this paper is to give an answer to this problem for a + b = 1 and to find a lower bound for the summ(r) + m(s) fora ∈ (0, 2) and b ∈ (0, 2 − a].

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ID Code: | 72614 |

Deposited On: | 29 Nov 2011 12:45 |

Last Modified: | 29 Nov 2011 12:45 |

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