• 제목/요약/키워드: entire functions

검색결과 461건 처리시간 0.025초

RELATIVE (p, q)-𝜑 ORDER AND RELATIVE (p, q)-𝜑 TYPE ORIENTED GROWTH ANALYSIS OF COMPOSITE ENTIRE FUNCTIONS

  • Biswas, Tanmay
    • 호남수학학술지
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    • 제41권2호
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    • pp.243-268
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    • 2019
  • The main aim of this paper is to study some growth properties of composite entire functions on the basis of relative $(p,q)-{\varphi}$ type and relative $(p,q)-{\varphi}$ weak type where p and q are any two positive integers and ${\varphi}(r):[0,+{\infty}){\rightarrow}(0,+{\infty})$ be a non-decreasing unbounded function.

FEW RESULTS ON RELATIVE (k, n) VALIRON DEFECTS FROM THE VIEW POINTS OF INTEGRATED MODULI OF LOGARITHMIC DERIVATIVE OF ENTIRE AND MEROMORPHIC FUNCTIONS

  • Datta, Sanjib Kumar;Sarkar, Sukalyan;Bandyopadhyay, Ashima;Biswas, Lakshmi
    • Korean Journal of Mathematics
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    • 제29권2호
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    • pp.239-252
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    • 2021
  • The prime target of this paper is to compare some relative (k, n) Nevanlinna defects with relative (k, n) Valiron defects from the view point of integrated moduli of logarithmic derivative of entire and meromorphic functions where k and n are any two non-negative integers.

GROWTH ANALYSIS OF COMPOSITION OF INTEGER TRANSLATED ENTIRE AND MEROMORPHIC FUNCTIONS

  • Manab Biswas;Debashis Kumar Mandal
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제30권3호
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    • pp.269-288
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    • 2023
  • In this paper we study the effect of integer translation on Nevanlinna's characteristic function of a meromorphic function. Also, we investigate comparative growth of integer translated entire and meromorphic functions under different conditions.

GENERALIZED (α, β, γ) ORDER AND GENERALIZED (α, β, γ) TYPE ORIENTED SOME GROWTH PROPERTIES OF COMPOSITE ENTIRE AND MEROMORPHIC FUNCTIONS

  • Tanmay Biswas;Chinmay Biswas
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제31권2호
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    • pp.119-130
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    • 2024
  • In this paper we discuss on the growth properties of composite entire and meromorphic functions on the basis of generalized (α, β, γ) order and generalized (α, β, γ) type comparing to their corresponding left and right factors.

Weighted Value Sharing and Uniqueness of Entire Functions

  • Sahoo, Pulak
    • Kyungpook Mathematical Journal
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    • 제51권2호
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    • pp.145-164
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    • 2011
  • In the paper, we study with weighted sharing method the uniqueness of entire functions concerning nonlinear differential polynomials sharing one value and prove two uniqueness theorems, first one of which generalizes some recent results in [10] and [16]. Our second theorem will supplement a result in [17].