Fractional Riesz-Feller type derivative for the one dimensional Dunkl operator and Lipschitz condition

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS(2024)

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Abstract
In this paper, utilizing the Dunkl transform and a generalized translation operator, we derive an analogue of the Riesz-Feller fractional derivative for a class of functions satisfying Lipschitz conditions.
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Key words
Dunkl operator,Dunkl transform,generalized Dunkl translation,fractional derivative
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