Note on the Hurwitz–Lerch Zeta Function of Two Variables
| Autor: | Oğuz Yağcı, Recep Sahin, Dojin Kim, Junesang Choi |
|---|---|
| Přispěvatelé: | KKÜ |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
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| Zdroj: | Symmetry Volume 12 Issue 9 Symmetry, Vol 12, Iss 1431, p 1431 (2020) |
| ISSN: | 2073-8994 |
| DOI: | 10.3390/sym12091431 |
| Popis: | A number of generalized Hurwitz&ndash Lerch zeta functions have been presented and investigated. In this study, by choosing a known extended Hurwitz&ndash Lerch zeta function of two variables, which has been very recently presented, in a systematic way, we propose to establish certain formulas and representations for this extended Hurwitz&ndash Lerch zeta function such as integral representations, generating functions, derivative formulas and recurrence relations. We also point out that the results presented here can be reduced to yield corresponding results for several less generalized Hurwitz&ndash Lerch zeta functions than the extended Hurwitz&ndash Lerch zeta function considered here. For further investigation, among possibly various more generalized Hurwitz&ndash Lerch zeta functions than the one considered here, two more generalized settings are provided. |
| Databáze: | OpenAIRE |
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