Volume 4, Issue 5-1, October 2015, Page: 55-59
A Logarithmic Derivative of Theta Function and Implication
Yaling Men, School of Mathematics, Xianyang Vocational and Technical College, Xianyang, P. R. China
Jiaolian Zhao, School of Mathematics and Informatics, Weinan Teacher`s University, Weinan, P. R. China
Received: Jun. 26, 2015;       Accepted: Jun. 28, 2015;       Published: Jun. 30, 2016
DOI: 10.11648/j.pamj.s.2015040501.21      View  3887      Downloads  98
Abstract
In this paper we establish an identity involving logarithmic derivative of theta function by the theory of elliptic functions. Using these identities we introduce Ramanujan’s modular identities, and also re-derive the product identity, and many other new interesting identities.
Keywords
Theta Function, Elliptic Function, Logarithmic Derivative
To cite this article
Yaling Men, Jiaolian Zhao, A Logarithmic Derivative of Theta Function and Implication, Pure and Applied Mathematics Journal. Special Issue: Mathematical Aspects of Engineering Disciplines. Vol. 4, No. 5-1, 2015, pp. 55-59. doi: 10.11648/j.pamj.s.2015040501.21
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