Differential Algebraicity of Multiple Sine Functions

Nobushige Kurokawa; Masato Wakayama

doi:10.1007/s11005-004-5921-8

Differential Algebraicity of Multiple Sine Functions

Nobushige Kurokawa, Masato Wakayama

Trustee(Vice President)

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

2 Citations (Scopus)

Abstract

The differential algebraicity of the multiple sine functions S _r(x, ω) is investigated. The goal of the paper is to show the differential algebraicity of S_r(x, ω) when the period ω is "rational" by using the classical theory due to Ostrowski.

Original language	English
Pages (from-to)	75-82
Number of pages	8
Journal	Letters in Mathematical Physics
Volume	71
Issue number	1
DOIs	https://doi.org/10.1007/s11005-004-5921-8
Publication status	Published - Jan 1 2005

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/s11005-004-5921-8

Fingerprint Dive into the research topics of 'Differential Algebraicity of Multiple Sine Functions'. Together they form a unique fingerprint.

Cite this

@article{49822f7d40cf4eb8942a1438d09bb207,

title = "Differential Algebraicity of Multiple Sine Functions",

abstract = "The differential algebraicity of the multiple sine functions S r(x, ω) is investigated. The goal of the paper is to show the differential algebraicity of Sr(x, ω) when the period ω is {"}rational{"} by using the classical theory due to Ostrowski.",

author = "Nobushige Kurokawa and Masato Wakayama",

year = "2005",

month = jan,

day = "1",

doi = "10.1007/s11005-004-5921-8",

language = "English",

volume = "71",

pages = "75--82",

journal = "Letters in Mathematical Physics",

issn = "0377-9017",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - Differential Algebraicity of Multiple Sine Functions

AU - Kurokawa, Nobushige

AU - Wakayama, Masato

PY - 2005/1/1

Y1 - 2005/1/1

N2 - The differential algebraicity of the multiple sine functions S r(x, ω) is investigated. The goal of the paper is to show the differential algebraicity of Sr(x, ω) when the period ω is "rational" by using the classical theory due to Ostrowski.

AB - The differential algebraicity of the multiple sine functions S r(x, ω) is investigated. The goal of the paper is to show the differential algebraicity of Sr(x, ω) when the period ω is "rational" by using the classical theory due to Ostrowski.

UR - http://www.scopus.com/inward/record.url?scp=17144402930&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=17144402930&partnerID=8YFLogxK

U2 - 10.1007/s11005-004-5921-8

DO - 10.1007/s11005-004-5921-8

M3 - Article

AN - SCOPUS:17144402930

VL - 71

SP - 75

EP - 82

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 1

ER -