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^*

^*Korrespondierende/r Autor/-in für diese Arbeit

Research Center Wels

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

9 Zitate (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.

Originalsprache	Englisch
Seiten (von - bis)	419-424
Seitenumfang	6
Fachzeitschrift	Journal of Computational and Applied Mathematics
Jahrgang	178
Ausgabenummer	1-2 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.cam.2004.09.052
Publikationsstatus	Veröffentlicht - 1 Juni 2005

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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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day = "1",

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

language = "English",

volume = "178",

pages = "419--424",

journal = "Journal of Computational and Applied Mathematics",

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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

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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

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