RAMANUJAN'S CUBIC TRANSFORMATION INEQUALITIES FOR ZERO-BALANCED HYPERGEOMETRIC FUNCTIONS

In this paper, a generalization of Ramanujan's cubic transformation, in the form of an inequality, is proved for zero-balanced Gaussian hypergeometric function F(a, b; a + b; x), a, b > 0.

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Bibliographic Details
Published in:The Rocky Mountain journal of mathematics 2016-01, Vol.46 (2), p.679-691
Main Authors: WANG, M.K., CHU, Y.M., JIANG, Y.P.
Format: Article
Language:English
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Summary:In this paper, a generalization of Ramanujan's cubic transformation, in the form of an inequality, is proved for zero-balanced Gaussian hypergeometric function F(a, b; a + b; x), a, b > 0.
ISSN:0035-7596
1945-3795
DOI:10.1216/RMJ-2016-46-2-679