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
Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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,,
T.
(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. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 25(4), 297-336, https://doi.org/10.7468/jksmeb.2018.25.4.297
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