A NOTE ON THE INTEGRAL REPRESENTATIONS OF GENERALIZED RELATIVE ORDER (α, β) AND GENERALIZED RELATIVE TYPE (α, β) OF ENTIRE AND MEROMORPHIC FUNCTIONS WITH RESPECT TO AN ENTIRE FUNCTION

被引：0

作者：

Biswas, Tanmay ^{[1
]}

Biswas, Chinmay ^{[2
]}

机构：

[1] RN Tagore Rd, Ps Kotwali 741101, W Bengal, India

[2] Nabadwip Vidyasagar Coll, Dept Math, Nabadwip 741302, W Bengal, India

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2021年 / 28卷 / 04期

关键词：

entire functions; meromorphic function; generalized relative order (alpha; beta); generalized relative lower order (alpha; generalized relative type (alpha; generalized relative weak type (alpha; GROWTH-PROPERTIES;

D O I：

10.7468/jksmeb.2021.28.4.355

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we wish to establish the integral representations of generalized relative order (alpha, beta) and generalized relative type (alpha, beta) of entire and meromorphic functions where alpha and beta are continuous non-negative functions defined on (-infinity, +infinity). We also investigate their equivalence relation under some certain condition.

引用

页码：355 / 376

页数：22

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[3]

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Biswas, Tanmay ;

Biswas, Chinmay .

TBILISI MATHEMATICAL JOURNAL, 2021, 14 (03) :179-194

[9] Entire functions and some of their growth properties on the basis of generalized order (α, β) [J].

Biswas, Tanmay ;

Biswas, Chinmay ;

Saha, Biswajit .

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (02) :1735-1747

[10] SUM AND PRODUCT THEOREMS RELATING TO GENERALIZED RELATIVE ORDER (α, β) AND GENERALIZED RELATIVE TYPE (α, β) OF ENTIRE FUNCTIONS [J].

Biswas, Tanmay ;

Biswas, Chinmay ;

Saha, Biswajit .

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2021, 28 (02) :155-185

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