GENERALIZED RELATIVE ORDER (α, β) BASED SOME GROWTH ANALYSIS OF COMPOSITE ENTIRE FUNCTIONS
Generalized relative order (α,β) based some growth analysis of composite entire functions
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2022, v.29 no.2, pp.125-139
https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.2.125
Biswas, Tanmay
(Rajbari, Rabindrapally)
Biswas, Chinmay
(Department of Mathematics, Nabadwip Vidyasagar College)
Biswas, Tanmay,
&
Biswas, Chinmay.
(2022). GENERALIZED RELATIVE ORDER (α, β) BASED SOME GROWTH ANALYSIS OF COMPOSITE ENTIRE FUNCTIONS. 한국수학교육학회지시리즈B:순수및응용수학, 29(2), 125-139, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.2.125
Abstract
In this paper we wish to establish some results relating to the growths of composition of two entire functions with their corresponding left and right factors on the basis of their generalized relative order (α, β) and generalized relative lower order (α, β) where α and β are continuous non-negative functions defined on (-∞, +∞).
- keywords
-
entire function,
growth,
composition,
generalized relative order (<tex> ${\alpha}$</tex>,
<tex> ${\beta}$</tex>),
generalized relative lower order (<tex> ${\alpha}$</tex>,
<tex> ${\beta}$</tex>)