Transcendence of some multivariate power series

doi:10.1007/s11464-014-0363-9

Front. Math. China

2014, Vol. 9

Issue (2) : 425-430 https://doi.org/10.1007/s11464-014-0363-9

RESEARCH ARTICLE

Transcendence of some multivariate power series

Qiang WU¹,Ping ZHOU^2,^*(

)

1. Department of Mathematics, Southwest University of China, Chongqing 400715, China
2. Department of Mathematics, Statistics and Computer Science, St. Francis Xavier University, Antigonish, Nova Scotia, B2G 2W5, Canada

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Abstract

We prove some transcendence results for the sums of some multivariate series of the form ∑j1,j2,?jm=0∞Cj1j2?jm(r1j1r2j2?rmjm)n for n = 1,2, where Cj1j2?jm are some rational functions of j1+j2+?jm.

Keywords Transcendental number multivariate power series

Corresponding Author(s): Ping ZHOU

Issue Date: 16 May 2014

Cite this article:

Qiang WU,Ping ZHOU. Transcendence of some multivariate power series[J]. Front. Math. China, 2014, 9(2): 425-430.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-014-0363-9
https://academic.hep.com.cn/fmc/EN/Y2014/V9/I2/425

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3	ZhouP, CuytA, TanJ. General order multivariate Padé approximants for pseudomultivariate functions II. Math Comp, 2009, 78(268): 2137-2155 doi: 10.1090/S0025-5718-09-02226-1

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