On the curious series related to the elliptic integrals

Author:

Yakubovich Semyon

Funder

FCT(Portugal)

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference15 articles.

1. Apostol, T.M.: Modular Functions and Dirichlet Series in Number Theory, 2nd edn. Springer, New York (1990)

2. Borwein, J.M., Borwein, P.B.: Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity. Wiley, New York (1987)

3. Borwein, J.M., Zucker, I.J.: Elliptic integral evaluation of the Gamma-function at rational values of small denominators. IMA J. Numer. Anal. 12, 519–526 (1992)

4. Erdélyi, A., Magnus, W., Oberhettinger, F., Tricomi, F.G.: Higher Transcendental Functions, vols. I, II and 111. McGraw-Hill, New York (1953)

5. Glasser, M.L., Papageorgiou, V.G., Bountis, T.C.: Melnikov’s function for two-dimensional mappings. SIAM J. Appl. Math. 49(3), 692–703 (1989)

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1. Explicit evaluation of a family of Berndt-type integrals;Journal of Mathematical Analysis and Applications;2025-01

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