Generalized relative order (α,β) oriented some growth properties of composite entire and meromorphic functions

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

2023, v.30 no.2, pp.139-154

https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.2.139

Tanmay Biswas (Rajbari)
Chinmay Biswas (Department of Mathematics, Nabadwip Vidyasagar College)

Tanmay Biswas, & Chinmay Biswas. (2023). GENERALIZED RELATIVE ORDER (α, β) ORIENTED SOME GROWTH PROPERTIES OF COMPOSITE ENTIRE AND MEROMORPHIC FUNCTIONS. 한국수학교육학회지시리즈B:순수및응용수학, 30(2), 139-154, https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.2.139

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Abstract

In this paper we wish to prove some results relating to the growth rates of composite entire and meromorphic 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, meromorphic function, growth, composition, generalized relative order (<tex> ${\alpha}, \, {\beta}$</tex>)

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Vol.30 No.2

GENERALIZED RELATIVE ORDER (&#x03B1;, &#x03B2;) ORIENTED SOME GROWTH PROPERTIES OF COMPOSITE ENTIRE AND MEROMORPHIC FUNCTIONS

Generalized relative order (α,β) oriented some growth properties of composite entire and meromorphic functions

Abstract

한국수학교육학회지시리즈B:순수및응용수학

GENERALIZED RELATIVE ORDER (α, β) ORIENTED SOME GROWTH PROPERTIES OF COMPOSITE ENTIRE AND MEROMORPHIC FUNCTIONS