A1 Refereed original research article in a scientific journal
On quotients and differences of hypergeometric functions
Authors: Simic S, Vuorinen M
Publication year: 2011
Journal: Journal of Inequalities and Applications
Journal name in source: Journal of Inequalities and Applications
Number in series: 141
Volume: 2011
Issue: 141
First page : 10
Number of pages: 10
ISSN: 1025-5834
DOI: https://doi.org/10.1186/1029-242X-2011-141
Web address : http://api.elsevier.com/content/abstract/scopus_id:84868128202
Abstract
For Gaussian hypergeometric functions F(x) = F(a, b; c; x), a, b, c >0, we consider the quotient QF(x, y) = (F(x) + F(y))/F(z) and the difference DF(x, y) = F(x) + F(y) - F(z) for 0 < x, y <1 with z = x + y - xy. We give best possible bounds for both expressions under various hypotheses about the parameter triple (a, b; c) .© 2011 Wu et al; licensee Springer.
For Gaussian hypergeometric functions F(x) = F(a, b; c; x), a, b, c >0, we consider the quotient QF(x, y) = (F(x) + F(y))/F(z) and the difference DF(x, y) = F(x) + F(y) - F(z) for 0 < x, y <1 with z = x + y - xy. We give best possible bounds for both expressions under various hypotheses about the parameter triple (a, b; c) .© 2011 Wu et al; licensee Springer.
UTU Research Portal