INEQUALITIES OF APPELL'S HYPERGEOMETRIC FUNCTIONS OF TWO VARIABLES

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Published: Mar 1, 1997
DOI: https://doi.org/10.5556/j.tkjm.28.1997.4329
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APPELL'S HYPERGEOMETRIC FUNCTIONS INEQUALITIES

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C. M. JOSHI
Department of Mathematics, Sukhadia University, Udaipur, India.
S. K. BISSU
Department of Mathematics, Sukhadia University, Udaipur, India.

Abstract




Inequalities for $F_4$ for positive and negative real arguments has been obtained using the two sided inequalities of $_0F_1$'s which are in the integrand of its Laplace type integral repre- sentation. Also incorporated in the discussion are new inequalities for $F_1$, $F_2$ and $F_3$ which have the advantage over Luke's inequalities in the sense that these hold in a wider domain. Verifica- tions of these bounds have been pointed out numerically and further it is observed that in some cases even under Luke's conditions our results give sharper bounds.




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How to Cite
JOSHI, C. M., & BISSU, S. K. (1997). INEQUALITIES OF APPELL’S HYPERGEOMETRIC FUNCTIONS OF TWO VARIABLES. Tamkang Journal of Mathematics, 28(1), 7–15. https://doi.org/10.5556/j.tkjm.28.1997.4329
Issue
Vol. 28 No. 1 (1997)
Section
Papers
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