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Wright Function and Integral Transforms via Dunkl Transform

In: Theory and Applications of Special Functions for Scientists and Engineers

Author

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  • Xiao-Jun Yang

    (China University of Mining and Technology, School of Mathematics and State Key Laboratory for Geomechanics and Deep Underground Engineering)

Abstract

In this chapter, we investigate the concepts and theorems for the Wright’s generalized hypergeometric function and Wright function and introduce the supertrigonometric and superhyperbolic functions related to them. The integral representations for the supertrigonometric and superhyperbolic functions are addressed in detail. The Dunkl transform, new integral transforms based on the calculus with respect to power-law function, and the Wright functions are proposed.

Suggested Citation

  • Xiao-Jun Yang, 2021. "Wright Function and Integral Transforms via Dunkl Transform," Springer Books, in: Theory and Applications of Special Functions for Scientists and Engineers, chapter 0, pages 147-254, Springer.
    • Handle: RePEc:spr:sprchp:978-981-33-6334-2_2
    DOI: 10.1007/978-981-33-6334-2_2
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