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Degenerate Analogues of Euler Zeta, Digamma, and Polygamma Functions

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Release time:2020-05-07
DOI number:10.1155/2020/8614841
Journal:Mathematical Problems in Engineering
Abstract:In recent years, much attention has been paid to the role of degenerate versions of special functions and polynomials in mathematical physics and engineering. In the present paper, we introduce a degenerate Euler zeta function, a degenerate digamma function, and a degenerate polygamma function. We present several properties, recurrence relations, infinite series, and integral representations for these functions. Furthermore, we establish identities involving hypergeometric functions in terms of degenerate digamma function.
Co-author:Fuli He, Ahmed Bakhet, Mohamed Akel, Mohamed Abdalla
Indexed by:Journal paper
Document Code:8614841
Volume:2020
Issue:8614841
Page Number:1-9
Translation or Not:no
Date of Publication:2020-05-06
Included Journals:SCI
Links to published journals:https://doi.org/10.1155/2020/8614841

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