SOME RESULTS ON (p, q)-TH RELATIVE RITT ORDER AND (p, q)-TH RELATIVE RITT TYPE OF ENTIRE FUNCTIONS REPRESENTED BY VECTOR VALUED DIRICHLET SERIES

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2018, v.25 no.4, pp.297-336

https://doi.org/10.7468/jksmeb.2018.25.4.297

Biswas, Tanmay

Biswas, Tanmay. (2018). SOME RESULTS ON (p, q)-TH RELATIVE RITT ORDER AND (p, q)-TH RELATIVE RITT TYPE OF ENTIRE FUNCTIONS REPRESENTED BY VECTOR VALUED DIRICHLET SERIES. 한국수학교육학회지시리즈B:순수및응용수학, 25(4), 297-336, https://doi.org/10.7468/jksmeb.2018.25.4.297

복사

Abstract

In this paper we wish to establish some basic properties of entire functions represented by a vector valued Dirichlet series on the basis of (p, q)-th relative Ritt order, (p, q)-th relative Ritt type and (p, q)-th relative Ritt weak type where p and q are integers such that <TEX>$p{\geq}0$</TEX> and <TEX>$q{\geq}0$</TEX>.

keywords: vector valued Dirichlet series (VVDS), (p, q)-th relative Ritt order, (p, q)-th relative Ritt lower order, (p, q)-th relative Ritt type, (p, q)-th relative Ritt weak type, growth

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Vol.25 No.4

SOME RESULTS ON (p, q)-TH RELATIVE RITT ORDER AND (p, q)-TH RELATIVE RITT TYPE OF ENTIRE FUNCTIONS REPRESENTED BY VECTOR VALUED DIRICHLET SERIES

SOME RESULTS ON (p, q)-TH RELATIVE RITT ORDER AND (p, q)-TH RELATIVE RITT TYPE OF ENTIRE FUNCTIONS REPRESENTED BY VECTOR VALUED DIRICHLET SERIES

Abstract

한국수학교육학회지시리즈B:순수및응용수학