Commun. Korean Math. Soc. 2020; 35(1): 63-81
Online first article December 27, 2019 Printed January 31, 2020
https://doi.org/10.4134/CKMS.c180528
Copyright © The Korean Mathematical Society.
Ce Xu
Xiamen University
In this paper we consider certain classes of generalized level 2 Eisenstein series by simple differential calculations of trigonometric functions. In particular, we give four new transformation formulas for some level 2 Eisenstein series. We can find that these level 2 Eisenstein series are reducible to infinite series involving hyperbolic functions. Moreover, some interesting new examples are given.
Keywords: Eisenstein series, trigonometric function, hyperbolic function, Gamma function
MSC numbers: 11M41, 11M99
2019; 34(2): 523-532
2017; 32(4): 909-914
2017; 32(1): 47-53
2017; 32(1): 29-38
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd