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HomeDegenerate Analogues of Euler Zeta, Digamma, and Polygamma Functions
Release time:2020-05-07
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- 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