A Logarithmic Derivative of Theta Function and Implication
Pure and Applied Mathematics Journal
Volume 4, Issue 5-1, October 2015, Pages: 55-59
Received: Jun. 26, 2015; Accepted: Jun. 28, 2015; Published: Jun. 30, 2016
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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
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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.
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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