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A NEW CONSTRUCTION ON THE DEGENERATE HURWITZ-ZETA FUNCTION ASSOCIATED WITH CERTAIN APPLICATIONS

SERKAN ARACI|MEHMET ACIKGOZ|M. SELÇUK AYDIN
장전수학회 (Jangjeon Mathematical Society)|2022.04|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제25권 제2호|pp. 197-206|DOI 10.17777/pjms.2022.25.2.007

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참고문헌

키워드

Degenerate functionsHurwitz Zeta functionsGamma functionsRiemann-Zeta functionDegenerate Bernoulli polynomials
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초록

In [5], Kim and Kim de…fined degenerate version of gamma functions, and then introduced its new properties by making use of analytical methods in the complex analysis. With this in mind, we consider the degenerate Hurwitz-zeta, modi…fied degenerate Hurwitz- zeta, degenerate digamma functions. We obtain several new properties and identities for these functions.

Abstract

In [5], Kim and Kim de…fined degenerate version of gamma functions, and then introduced its new properties by making use of analytical methods in the complex analysis. With this in mind, we consider the degenerate Hurwitz-zeta, modi…fied degenerate Hurwitz- zeta, degenerate digamma functions. We obtain several new properties and identities for these functions.

참고문헌 (21)

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  12. 김태균, "A NOTE ON DEGENERATE GAMMA FUNCTION AND DEGENERATE STIRLING NUMBER OF THE SECOND KIND", Advanced Studies in Contemporary Mathematics, 28(2), pp.207~214 (2018), 장전수학회[DOI]
  13. 김태균, "On degenerate $q$-Bernoulli polynomials", 대한수학회보, 53(4), pp.1149~1156 (2016), 대한수학회
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  17. Kucukoglu, I, "A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials", Quaest. Math, 42, pp.465~478 (2019)
  18. Srivastava, H.M, "q-Bernoulli numbers and polynomials associated with multiple q-zeta functions and basic L-series", Russ. J. Math. Phys, 12, pp.241~268 (2005)
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  20. Srivastava, H. M., "A unied presentation of certain meromorphic functions related to the families of the partial zeta type functions and the L-functions", Appl. Math. Comput, 219, pp.3903~3913 (2012)
  21. Upadhyaya, L.M., "On the degenerate Laplace transform", Int. J. Eng. Sci. Res, 6, pp.198~209 (2018)

관련 논문AI추천

A NOTE ON DEGENERATE GAMMA FUNCTION AND DEGENERATE STIRLING NUMBER OF THE SECOND KIND김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제2호A NOTE ON DEGENERATE MULTI-POLY-BERNOULLI POLYNOMIALS마민영, 임동규장전수학회 · Advanced Studies in Contemporary Mathematics2020 · 제30권 제4호Extension of Generalized Hurwitz-Lerch Zeta Function and Associated Properties최준상, Rakesh Kumar Parmar, Ravinder Krishna Raina경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제3호SOME PROPERTIES OF GENERALIZED DEGENERATE BERNOULLI POLYNOMIALS AND NUMBERS권종겸, 김원주, Lee-Chae Jang장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제4호DEGENERATE POLYEXPONENTIAL FUNCTIONS AND POLY-EULER POLYNOMIALSBURAK KURT대한수학회 · 대한수학회논문집2021 · 제36권 제1호A NOTE ON DEGENERATE TYPE 2 MULTI-POLY-GENOCCHI POLYNOMIALS장이채장전수학회 · Advanced Studies in Contemporary Mathematics2020 · 제30권 제4호

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