Two-Sided Inequalities for Generalized Hypergeometric Function

[thumbnail of 3F2arhiv.pdf]
3F2arhiv.pdf (193kB)
Restricted to Repository staff only

Karp, D and Sitnik, S. M (2007) Two-Sided Inequalities for Generalized Hypergeometric Function. Research report collection, 10 (2).


We find two-sided inequalities for the generalized hypergeometric function with positive parameters restricted by certain additional conditions. Inequalities are derived as corollaries of a theorem asserting the monotony of the quotient of two generalized hypergeometric functions with shifted parameters. The proofs hinge on a generalized Stieltjes representation of the generalized hypergeometric function. In the last section of the paper we list some open questions and conjectures.

Item type Article
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords generalized hypergeometric function, generalized Stieltjes function, hypergeometric inequality, Thomae relations
Download/View statistics View download statistics for this item

Search Google Scholar

Repository staff login