ITERATED ENTIRE FUNCTIONS AND THEIR GROWTH PROPERTIES ON THE BASIS OF (p, q)-TH ORDER

被引：0

作者：

Biswas, Tanmay ^{[1
]}

Choi, Junesang ^{[2
]}

Das, Pranab ^{[3
]}

Datta, Sanjib Kumar ^{[3
]}

机构：

[1] Care of Rajbari R, RN Tagore Rd,PO Krishnagar, Krishnagar 741101, W Bengal, India

[2] Dongguk Univ, Dept Math, Gyeongju 38066, South Korea

[3] Univ Kalyani, Dept Math, PO Kalyani, Kalyani 741235, W Bengal, India

来源：

HONAM MATHEMATICAL JOURNAL | 2016年 / 38卷 / 01期

关键词：

Iterated entire function; Maximum modulus; Nevanlinna's characteristic function; Generalized (lower) order of an entire function; Generalized (lower) proximate order of a meromorphic function; (p; q)-th order and (p; q)-th lower order;

D O I：

10.5831/HMJ.2016.38.1.169

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Entire functions have been investigated so popularly to have been divided into a large number of specialized subjects. Even the limited subject of entire functions is too vast to be dealt with in a single volume with any approach to completeness. Here, in this paper, we choose to investigate certain interesting results associated with the comparative growth properties of iterated entire functions using (p, q)-th order and (p, q)-th lower order, in a rather comprehensive and systematic manner.

引用

页码：169 / 212

页数：44

共 11 条

[1]

Clunie J., 1970, COMPOSITION ENTIRE M, P75

[2]

Datta S. K., 2014, PALEST J MATH, V3, P77

[3]

Datta S. K., 2012, B ALLAHABAD MATH S 1, V27, P55

[4]

Datta SK, 2010, BULL MATH ANAL APPL, V2, P1

[5] FEW RELATIONS ON THE GROWTH RATES OF COMPOSITE ENTIRE FUNCTIONS USING THEIR (p, q)TH ORDER [J].

Datta, Sanjib Kumar ;

Biswas, Tanmay ;

Biswas, Manab .

TAMKANG JOURNAL OF MATHEMATICS, 2013, 44 (03) :289-301

[6]

Hayman W K., 1964, MEROMORPHIC FUNCTION

[7]

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

[8]

Lahiri B. K., 1997, J INDIAN ACAD MATH, V19, P87

[9]

Lahiri I, 1989, MAT VENSIK, V45, P9

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

SATO, D .

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

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