DOI QR코드

DOI QR Code

ON THE GENERALIZED TWO VARIABLE EISENSTEIN SERIES

  • Lim, Sung-Geun (Department of Mathematics Education, Mokwon University)
  • 투고 : 2014.10.20
  • 심사 : 2014.11.16
  • 발행 : 2014.12.25

초록

In this paper, we consider generalized two variable Eisenstein series. We give analytic continuation and prove modular transformation formulae for them.

참고문헌

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  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. https://doi.org/10.11568/kjm.2013.21.3.285
  5. S. Lim, Modular transformation formulae for generalized non-holomorphic Eisen-stein series, Honam Mathematical J. 35(3) (2013), 507-513. https://doi.org/10.5831/HMJ.2013.35.3.507
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피인용 문헌

  1. Transformation formulae and asymptotic expansions for double holomorphic Eisenstein series of two complex variables vol.44, pp.2, 2017, https://doi.org/10.1007/s11139-017-9922-5