article · Victoria University Research Repository (Victoria University) · 2007

Two-Sided Inequalities for Generalized Hypergeometric Function

Cited by 9Abstract and details only

Abstract

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.

Cite this paper

APA 7

Karp, D., & Ситник, С. М. (2007). Two-Sided Inequalities for Generalized Hypergeometric Function. Victoria University Research Repository (Victoria University).

MLA 9

Karp, Dmitrii, and С. М. Ситник. “Two-Sided Inequalities for Generalized Hypergeometric Function.” Victoria University Research Repository (Victoria University), 2007.

Chicago

Karp, Dmitrii, and С. М. Ситник. 2007. “Two-Sided Inequalities for Generalized Hypergeometric Function.” Victoria University Research Repository (Victoria University).

Harvard

Karp, D. and Ситник, С.М. (2007) ‘Two-Sided Inequalities for Generalized Hypergeometric Function’, Victoria University Research Repository (Victoria University).

BibTeX

@article{karp2007sided,
  title = {{Two-Sided Inequalities for Generalized Hypergeometric Function}},
  author = {Karp, Dmitrii and Ситник, С. М.},
  journal = {Victoria University Research Repository (Victoria University)},
  year = {2007}
}

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