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
  • [21] DERIVATION OF SOME INEQUALITIES USING THE (p, q)-TH LOWER ORDER AND (p, q)-TH WEAK TYPE OF ENTIRE FUNCTIONS
    Biswas, Tanmay
    Datta, Sanjib Kumar
    Shaikh, Jinarul Haque
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 31 (04): : 745 - 764
  • [22] A Study on the Growth of Generalist Iterated Entire Functions in Terms of Generalist Order
    Dutta, Ratan Kumar
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2024, 48 (03) : 355 - 365
  • [23] GROWTH OF A CLASS OF ITERATED ENTIRE FUNCTIONS
    Banerjee, Dibyendu
    Dutta, Ratan Kumar
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 3 (01): : 77 - 88
  • [24] RELATIVE (p, q)-φ ORDER AND RELATIVE (p, q)-φ TYPE ORIENTED GROWTH ANALYSIS OF COMPOSITE ENTIRE FUNCTIONS
    Biswas, Tanmay
    HONAM MATHEMATICAL JOURNAL, 2019, 41 (02): : 243 - 268
  • [25] Composition of entire functions with finite iterated order
    Tu, Jin
    Chen, Zong-Xuan
    Zheng, Xiu-Min
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 353 (01) : 295 - 304
  • [26] The Order and Type of Meromorphic Functions and Entire Functions of Finite Iterated Order
    Tu, Jin
    Zeng, Yun
    Xu, Hong-Yan
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (05) : 994 - 1003
  • [27] GROWTH OF MEROMORPHIC FUNCTIONS DEPENDING ON (p, q)-th RELATIVE ORDER
    Debnath, Lokenath
    Datta, Sanjib Kumar
    Biswas, Tanmay
    Kar, Ananya
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2016, 31 (03): : 691 - 705
  • [28] SOME GROWTH ASPECTS OF SPECIAL TYPE OF DIFFERENTIAL POLYNOMIAL GENERATED BY ENTIRE AND MEROMORPHIC FUNCTIONS ON THE BASIS OF THEIR RELATIVE (p; q)-TH ORDERS
    Biswas, Tanmay
    KOREAN JOURNAL OF MATHEMATICS, 2019, 27 (04): : 899 - 927
  • [29] RELATIVE (p, q) - φ ORDER BASED SOME GROWTH ANALYSIS OF COMPOSITE p-ADIC ENTIRE FUNCTIONS
    Biswas, Tanmay
    Biswas, Chinmay
    KOREAN JOURNAL OF MATHEMATICS, 2021, 29 (02): : 361 - 370
  • [30] RELATIVE (p, q, t) L-TH ORDER AND RELATIVE (p, q, t) L-TH TYPE BASED SOME GROWTH ASPECTS OF COMPOSITE ENTIRE AND MEROMORPHIC FUNCTIONS
    Biswas, Tanmay
    HONAM MATHEMATICAL JOURNAL, 2019, 41 (03): : 463 - 487
12345