Some Generalized Growth Properties of Composite Entire Functions

被引：0

作者：

Biswas, Tanmay ^{[1
]}

Biswas, Chinmay ^{[2
]}

机构：

[1] RN Tagore Rd,PO Krishnagar, Rabindrapally 741101, W Bengal, India

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

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2023年 / 47卷 / 01期

关键词：

Entire function; Growth; Composition; Generalized order (alpha; beta); Generalized type (alpha; Generalized index-pair (alpha;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we wish to prove some results relating to the growth rates of composition of two entire functions with their corresponding left and right factors on the basis of their generalized order (alpha, beta) and generalized type (alpha, beta) where alpha and beta are continuous non-negative functions defined on (-infinity, +infinity).

引用

页码：13 / 33

页数：21

共 17 条

[1]

Biswas TANMAY, 2020, Poincare Journal of Analysis and Applications, V7, P257, DOI 10.46753/pjaa.2020.v07i02.009

[2]

Biswas T, 2018, Journal of Classical Analysis, P107, DOI 10.7153/jca-2018-13-07

[3]

Chyzhykov I, 2016, Математичний вісник Наукового товариства ім. Шевченка, V13, P68

[4]

Clunie J., 1970, The Composition of Entire and Meromorphic Functions, Mathematical Essays dedicated to A. J. Macintyre

[5]

Hu GH, 2010, SOUTHEAST ASIAN BULL, V34, P265

[6]

JUNEJA OP, 1976, J REINE ANGEW MATH, V282, P53

[7]

Li XM, 2008, SOUTHEAST ASIAN BULL, V32, P125

[8] ON RATE OF GROWTH OF ENTIRE FUNCTIONS OF FAST GROWTH [J].

SATO, D .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1963, 69 (03) :411-&

[9]

Sayyed K.A.M., 2002, Southeast Asian Bull. Math., V26, P121

[10] Complex oscillation of a second-order linear differential equation with entire coefficients of [p, q] - φ order [J].

Shen, Xia ;

Tu, Jin ;

Xu, Hong Yan .

ADVANCES IN DIFFERENCE EQUATIONS, 2014,

← 1 2 →