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Wiman, Supertrigonometric, and Superhyperbolic Functions

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 introduce the Wiman function and present the supertrigonometric and superhyperbolic functions via Wiman function. The Laplace transforms and integral representations for the supertrigonometric and superhyperbolic functions are considered. The truncated Wiman, supertrigonometric, and superhyperbolic functions are proposed, and the general fractional calculus via Wiman function is also discussed. The integral equations and some of the mathematical models related to the Wiman function are finally presented.

Suggested Citation

  • Xiao-Jun Yang, 2021. "Wiman, Supertrigonometric, and Superhyperbolic Functions," Springer Books, in: Theory and Applications of Special Functions for Scientists and Engineers, chapter 0, pages 367-498, Springer.
    • Handle: RePEc:spr:sprchp:978-981-33-6334-2_4
    DOI: 10.1007/978-981-33-6334-2_4
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