Some new properties of Jacobi's theta functions

Klaus Schiefermayr

doi:10.1016/j.cam.2004.09.052

Some new properties of Jacobi's theta functions

Klaus Schiefermayr^*

^*Corresponding author for this work

Research Center Wels

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	419-424
Number of pages	6
Journal	Journal of Computational and Applied Mathematics
Volume	178
Issue number	1-2 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.cam.2004.09.052
Publication status	Published - 1 Jun 2005

Keywords

Jacobi's elliptic functions
Jacobi's theta functions

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10.1016/j.cam.2004.09.052

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title = "Some new properties of Jacobi's theta functions",

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

keywords = "Jacobi's elliptic functions, Jacobi's theta functions",

author = "Klaus Schiefermayr",

year = "2005",

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doi = "10.1016/j.cam.2004.09.052",

language = "English",

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pages = "419--424",

journal = "Journal of Computational and Applied Mathematics",

issn = "0377-0427",

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AU - Schiefermayr, Klaus

PY - 2005/6/1

Y1 - 2005/6/1

N2 - In this paper, a monotonicity property for the quotient of two Jacobi's theta functions with respect to the modulus k is proved.

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

KW - Jacobi's elliptic functions

KW - Jacobi's theta functions

UR - https://www.scopus.com/pages/publications/14844349305

U2 - 10.1016/j.cam.2004.09.052

DO - 10.1016/j.cam.2004.09.052

M3 - Article

SN - 0377-0427

VL - 178

SP - 419

EP - 424

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1-2 SPEC. ISS.

ER -

Some new properties of Jacobi's theta functions

Abstract

Keywords

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