• Title/Summary/Keyword: Entire function

Search Result 777, Processing Time 0.028 seconds

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
    • /
    • v.41 no.3
    • /
    • pp.463-487
    • /
    • 2019
  • In the paper we establish some new results depending on the comparative growth properties of composite entire and meromorphic functions using relative (p, q, t)L-th order and relative (p, q, t)L-th type of entire and meromorphic function with respect to another entire function.

SOME REMARKS ON THE GROWTH OF COMPOSITE p-ADIC ENTIRE FUNCTION

  • Biswas, Tanmay;Biswas, Chinmay
    • Korean Journal of Mathematics
    • /
    • v.29 no.4
    • /
    • pp.715-723
    • /
    • 2021
  • In this paper we wish to introduce the concept of generalized relative index-pair (𝛼, 𝛽) of a p-adic entire function with respect to another p-adic entire function and then prove some results relating to the growth rates of composition of two p-adic entire functions with their corresponding left and right factors.

MEASURES OF COMPARATIVE GROWTH ANALYSIS OF COMPOSITE ENTIRE FUNCTIONS ON THE BASIS OF THEIR RELATIVE (p, q)-TH TYPE AND RELATIVE (p, q)-TH WEAK TYPE

  • Biswas, Tanmay
    • The Pure and Applied Mathematics
    • /
    • v.26 no.1
    • /
    • pp.13-33
    • /
    • 2019
  • The main aim of this paper is to establish some comparative growth properties of composite entire functions on the basis of their relative (p, q)-th order, relative (p, q)-th lower order, relative (p, q)-th type, relative (p, q)-th weak type of entire function with respect to another entire function where p and q are any two positive integers.

ON A GENERALIZATION OF THE P$\'{O}$LYA-WIMAN CONJECTURE

  • Kim, Young-One
    • Communications of the Korean Mathematical Society
    • /
    • v.9 no.4
    • /
    • pp.825-830
    • /
    • 1994
  • This paper is concerned with the zeros of successive derivatives of real entire functions. In order to state our results, we introduce the following notations : An entire function which assumes only real values on the real axis is said to be a real entire function. Thus, if a complex number is a zero of a real entire function, then its conjugate is also a zero of the same function.

  • PDF

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

  • Biswas, Tanmay;Choi, Junesang;Das, Pranab;Datta, Sanjib Kumar
    • Honam Mathematical Journal
    • /
    • v.38 no.1
    • /
    • pp.169-212
    • /
    • 2016
  • 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.

THE ITERATION OF ENTIRE FUNCTION

  • Sun, Jianwu
    • Bulletin of the Korean Mathematical Society
    • /
    • v.38 no.2
    • /
    • pp.369-378
    • /
    • 2001
  • In this paper, we obtain the following results: Let f be a transcendental entire function with log M(r,f)=$O(log r)^\beta (e^{log r}^\alpha)\; (0\leq\alpha<1,\beta>1$). Then every component of N(f) is bounded. This result generalizes the result of Baker.

  • PDF