Asymptotic behavior of some power series with ζ-functions in the coefficients

Author:

Buschman R. G.,Srivastava H. M.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference9 articles.

1. Chowla, S. D., Hawkins, D.: Asymptotic expansion of some series involving the Riemann zeta function. J. Indian Math. Soc. (N.S.)26, 115–124 (1962).

2. Erdélyi, A., Magnus, W., Oberhettinger, F., Tricomi, F. G.: Higher Transcendental Functions. Vol. I. New York: McGraw-Hill. 1953.

3. Knopp, K.: Theory and Application of Infinite Series. (2nd ed.). New York: Hafner Publ. Comp. 1951.

4. Ramanujan, S.: A series for Euler's constant γ. Messenger Math.46, 73–80 (1916–17).

5. Srivastava, H. M.: Summation of a class of series involving the Riemann zeta function. Rev. Técn. Fac. Ingr. Univ. Zulia (Edición Especial)9, 79–82 (1986).

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3. Modular relation interpretation of the series involving the Riemann zeta values;Proceedings of the Japan Academy, Series A, Mathematical Sciences;2008-08-01

4. Power series with the Riemann zeta-function in the coefficients;Proceedings of the Japan Academy, Series A, Mathematical Sciences;1996-01-01

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