Inequalities for Humbert functions |
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| Institution: | Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt;Department of Basic Applied Sciences, Unaizah Community College, Qassim University, Qassim 10363, Saudi Arabia |
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| Abstract: | This paper is motivated by an open problem of Luke’s theorem. We consider the problem of developing a unified point of view on the theory of inequalities of Humbert functions and of their general ratios are obtained. Some particular cases and refinements are given. Finally, we obtain some important results involving inequalities of Bessel and Whittaker’s functions as applications. |
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| Keywords: | Inequalities for hypergeometric functions Humbert functions Bessel functions Whittaker’s functions |
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