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Character analogues of infinite series identities related to generalized non-holomorphic Eisenstein series

임성근
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2022.03|한국수학논문집 (Korean Journal of Mathematics)|제30권 제1호|pp. 25-42

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참고문헌

키워드

Character analoguesInfinite series identitiesModular transformation.
주제분류수학

초록

In this paper, we derive analogues of a couple of classes of infinite series identities with the confluent hypergeometric functions involving Dirichlet characters.

Abstract

In this paper, we derive analogues of a couple of classes of infinite series identities with the confluent hypergeometric functions involving Dirichlet characters.

참고문헌 (6)

  1. G. E. Andrews, "Special functions" (1999), Cambridge University Press
  2. B. C. Berndt, "Character analogues of theorems of Ramanujan, Koshliakov and Guinand", Adv. in Appl. Math, 46(1), pp.54~70 (2011)
  3. 임성근, "CHARACTER ANALOGUES OF INFINITE SERIES FROM A CERTAIN MODULAR TRANSFORMATION FORMULA", 대한수학회지, 48(1), pp.169~178 (2011), 대한수학회
  4. 임성근, "Analytic continuation of generalized non-holomorphic Eisenstein series", 한국수학논문집, 21(3), pp.285~292 (2013), 강원경기수학회[DOI]
  5. 임성근, "Infinite series identities which stem from generalized non-holomorphic Eisenstein series", 충청수학회지, 32(4), pp.421~440 (2019), 충청수학회[DOI]
  6. L. J. Slater, "Confluent hypergeometric functions" (1960), Cambridge University Press

관련 논문AI추천

CHARACTER ANALOGUES OF INFINITE SERIES FROM A CERTAIN MODULAR TRANSFORMATION FORMULA임성근대한수학회 · 대한수학회지2011 · 제48권 제1호Analytic continuation of generalized non-holomorphic Eisenstein series임성근강원경기수학회 · 한국수학논문집2013 · 제21권 제3호SOME INFINITE SERIES IDENTITIES임성근강원경기수학회 · 한국수학논문집2012 · 제20권 제4호Identities about level 2 Eisenstein seriesCe Xu대한수학회 · 대한수학회논문집2020 · 제35권 제1호Functional Equations associated with Generalized Bernoulli Numbers and Polynomials권혁인, 유천성, 장유선, Dmitry Victorovich Dolgy경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호New indefinite theta series expressions for some even-order mock theta functionsQiuxia Hu, Zeya Jia대한수학회 · 대한수학회보2025 · 제62권 제6호

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