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arxiv: 1503.04285 · v1 · pith:OB4HR2CJnew · submitted 2015-03-14 · 🧮 math.CA

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

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keywords dunklkernelinequalitiestypeinequalityintegralproverepresentation
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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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