Some new properties of Jacobi's theta functions

In this paper, a monotonicity property for the quotient of two Jacobi's theta functions with respect to the modulus k is proved.

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2005-06, Vol.178 (1), p.419-424
Main Author: Schiefermayr, Klaus
Format: Article
Language:English
Subjects:
Exact sciences and technology
Jacobi's elliptic functions
Jacobi's theta functions
Mathematical analysis
Mathematics
Sciences and techniques of general use
Special functions
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Description
Summary:In this paper, a monotonicity property for the quotient of two Jacobi's theta functions with respect to the modulus k is proved.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2004.09.052