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arXiv · 1503.04285

Tur\'an Type Inequalities for Dunkl Kernel and $q$-Dunkl Kernel

Khaled Mehrez·Mariem Ben Said·Jamel El Kamel
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Abstract

We prove tur\'an type inequalities for Dunkl kernel. We provide a $q$-integral representation for the $q$-Dunkl kernel. Using a $q$-version of Schwartz inequality, we get a tur\'an type inequalities for $q$-Dunkl kernel.

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Khaled Mehrez, Mariem Ben Said, Jamel El Kamel. 2015-03-14. Tur\'an Type Inequalities for Dunkl Kernel and $q$-Dunkl Kernel. https://arxiv.org/abs/1503.04285

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