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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

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: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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)

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>)

한국수학교육학회지시리즈B:순수및응용수학