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Identities about infinite series containing hyperbolic functions and trigonometric functions
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B. C. Berndt established many identities about infinite series. In this paper, continuing his work, we find new identities about infinite series containing hyperbolic functions and trigonometric functions.
Abstract
B. C. Berndt established many identities about infinite series. In this paper, continuing his work, we find new identities about infinite series containing hyperbolic functions and trigonometric functions.
참고문헌 (6)
- B.C. Berndt, "Two new proofs of Lerch's functional equation", Proc. Amer. Math. Soc, 32, pp.403~408 (1972)
- B.C. Berndt, "Modular transformations and generalizations of several formulae of Ramanujan", Rocky Mountain J. Math, 7(1), pp.147~189 (1977)
- B.C. Berndt, "Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan", J. Reine Angew. Math, 304, pp.332~365 (1978)
- S. Lim, "Innite series Identities from modular transformation formulas that stem from generalized Eisenstein series", Acta Arith, 141(3), pp.241~273 (2010)
- 임성근, "Series relations from certain modular transformation formula", 충청수학회지, 24(3), pp.481~502 (2011), 충청수학회
- S. Ramanujan, "Notebooks of Srinivasa Ramanujan (2 volumes)" (1957), Tata Institute of Fundamental Research, Bombay
관련 논문AI추천
SOME INFINITE SERIES IDENTITIES임성근강원경기수학회 · 한국수학논문집2012 · 제20권 제4호Identities about level 2 Eisenstein seriesCe Xu대한수학회 · 대한수학회논문집2020 · 제35권 제1호FOURIER SERIES OF FUNCTIONS RELATED TO BERNOULLI POLYNOMIALS김대산, 김태균, 장관우, Toufik Mansour장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제1호CHARACTER ANALOGUES OF INFINITE SERIES FROM A CERTAIN MODULAR TRANSFORMATION FORMULA임성근대한수학회 · 대한수학회지2011 · 제48권 제1호Character analogues of infinite series identities related to generalized non-holomorphic Eisenstein series임성근강원경기수학회 · 한국수학논문집2022 · 제30권 제1호Fourier series of higher-order Euler functions and their applications김대산, 김태균대한수학회 · 대한수학회보2018 · 제55권 제1호
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