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http://dx.doi.org/10.5831/HMJ.2014.36.4.895

ON THE GENERALIZED TWO VARIABLE EISENSTEIN SERIES  

Lim, Sung-Geun (Department of Mathematics Education, Mokwon University)
Publication Information
Honam Mathematical Journal / v.36, no.4, 2014 , pp. 895-899 More about this Journal
Abstract
In this paper, we consider generalized two variable Eisenstein series. We give analytic continuation and prove modular transformation formulae for them.
Keywords
Eisenstein series; analytic continuation; modular transformation;
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Times Cited By KSCI : 2  (Citation Analysis)
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1 B. C. Berndt, Two new proofs of Lerch's functional equation, Proc. Amer. Math. Soc. 32 (1972), 403-408.
2 B. C. Berndt, Modular transformations and generalizations of several formulae of Ramanujan, The Rocky mountain J. Math. 7(1) (1977), 147-189.   DOI
3 N. N. Lebedev, Special functions and their applications, Dover Publications, Inc., New York, 1972.
4 S. Lim, Analytic continuation of generalized non-holomorphic Eisenstein series, Korean J. Math. 21(3) (2013), 285-292.   과학기술학회마을   DOI
5 S. Lim, Modular transformation formulae for generalized non-holomorphic Eisen-stein series, Honam Mathematical J. 35(3) (2013), 507-513.   과학기술학회마을   DOI
6 P. Pasles and W. Pribitkin, A generalization of the Lipschitz summation formula and applications, Proc. Ams. Math. Soc. 129(11) (2001), 3177-3184.   DOI   ScienceOn