Product formula for the generalized q-Bessel function |
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| Authors: | Meryam Ben Said |
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| Affiliation: | Département de Mathématiques, FSM, Monastir, Tunisia. |
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| Abstract: | The aim of this paper is to establish a product formula for the generalized q-Bessel function which is a generalization of the known q-Bessel functions of kind 1,2,3, the modified q-Bessel functions of kind 1,2,3, and the new q-analogy of the modified Bessel function presented and studied by Mansour and Al-Shomarani. As an application of the product formula we derive Turán-type inequality for the modified q-Bessel function of third kind. |
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| Keywords: | q-Bessel functions modified q-Bessel functions product formula Turán type inequalities |
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