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
收藏
页码：169 / 212
页数：44
相关论文
共 50 条
  • [31] (P,Q)-ORDER AND LOWER (P,Q)-ORDER OF AN ENTIRE FUNCTION
    JUNEJA, OP
    KAPOOR, GP
    BAJPAI, SK
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (03): : A329 - A330
  • [32] (P,Q)-ORDER AND LOWER (P,Q)-ORDER OF AN ENTIRE FUNCTION
    JUNEJA, OP
    KAPOOR, GP
    BAJPAI, SK
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1976, 282 : 53 - 67
  • [33] Relative (p, q)-φ order and relative (p, q)-φ type oriented some growth investigations of composite p-adic entire functions
    Biswas, Chinmay
    Biswas, Tanmay
    Biswas, Ritam
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2022, 25 (02) : 233 - 246
  • [34] FURTHER GROWTH OF ITERATED ENTIRE FUNCTIONS-I
    Dutta, Ratan Kumar
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2011, 5 (04): : 533 - 550
  • [35] (p, q)-φ relative Gol’dberg order and (p, q)-φ relative Gol’dberg type oriented certain growth properties of entire functions of several complex variables
    Biswas, Ritam
    Biswas, Tanmay
    Italian Journal of Pure and Applied Mathematics, 2022, 47 : 312 - 318
  • [36] SOME RESULTS ON (p, q)-TH RELATIVE RITT ORDER AND (p, q)-TH RELATIVE RITT TYPE OF ENTIRE FUNCTIONS REPRESENTED BY VECTOR VALUED DIRICHLET SERIES
    Biswas, Tanmay
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2018, 25 (04): : 297 - 336
  • [37] Order, type and cotype of growth for p-adic entire functions: A survey with additional properties
    Boussaf K.
    Boutabaa A.
    Escassut A.
    P-Adic Numbers, Ultrametric Analysis, and Applications, 2016, 8 (4) : 280 - 297
  • [38] Basis properties of the p,q-sine functions
    Boulton, Lyonell
    Lord, Gabriel J.
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2015, 471 (2174):
  • [39] ON SOME GROWTH ANALYSIS OF COMPOSITE ENTIRE AND MEROMORPHIC FUNCTIONS FROM THE VIEW POINT OF THEIR RELATIVE (p, q)-TH TYPE AND RELATIVE (p, q)-TH WEAK TYPE
    Biswas, Tanmay
    KOREAN JOURNAL OF MATHEMATICS, 2018, 26 (01): : 23 - 41
  • [40] THE GROWTH OF ENTIRE FUNCTION IN THE FORM OF VECTOR VALUED DIRICHLET SERIES IN TERMS OF (p, q)-TH RELATIVE RITT ORDER AND (p, q)-TH RELATIVE RITT TYPE
    Biswas, Tanmay
    KOREAN JOURNAL OF MATHEMATICS, 2019, 27 (01): : 93 - 117
12345