• Title/Summary/Keyword: meromorphic functions

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EFFECT OF INTEGER TRANSLATION ON RELATIVE ORDER AND RELATIVE TYPE OF ENTIRE AND MEROMORPHIC FUNCTIONS

  • Biswas, Tanmay;Datta, Sanjib Kumar
    • Communications of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.485-494
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    • 2018
  • In this paper some newly developed results based on the growth properties of relative order (relative lower order), relative type (relative lower type) and relative weak type of entire and meromorphic functions on the basis of integer translation applied upon them are investigated.

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
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    • v.26 no.1
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    • pp.23-41
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    • 2018
  • The main aim of this paper is to prove some results related to the growth rates of composite entire and meromorphic functions on the basis of their relative (p, q)-th order, relative (p, q)-th lower order, relative (p, q)-th type and relative (p, q)-th weak type where p and q are any two positive integers.

RESULTS ON MEROMORPHIC FUNCTIONS SHARING THREE VALUES CM IN SOME ANGULAR DOMAINS

  • Li, Xiao-Min;Liu, Xue-Feng;Yi, Hong-Xun
    • Communications of the Korean Mathematical Society
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    • v.31 no.3
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    • pp.467-481
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    • 2016
  • We study the uniqueness question of transcendental meromorphic functions that share three values CM in some angular domains instead of the whole complex plane. The results in this paper extend the corresponding results in Zheng [13, 14] and Yi [12]. Some examples are given to show that the results in this paper, in a sense, are the best possible.

Uniqueness of Meromorphic Functions Sharing a Small Function with Their Differential Polynomials

  • Banerjee, Abhijit
    • Kyungpook Mathematical Journal
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    • v.49 no.4
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    • pp.651-666
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    • 2009
  • With the aid of weakly weighted sharing and a recently introduced sharing notion in [3] known as relaxed weighted sharing we investigate the uniqueness of meromorphic functions sharing a small function with its differential polynomials. Our results will improve and supplement all the results obtained by Zhang and Yang [17] as well as a substantial part of the results recently obtained by the present author [2] and thus provide a better answer to the questions posed by Yu [14] in this regard.

SUBORDINATION AND SUPERORDINATION FOR MEROMORPHIC FUNCTIONS ASSOCIATED WITH THE MULTIPLIER TRANSFORMATION

  • Cho, Nak-Eun;Kwon, Oh-Sang
    • East Asian mathematical journal
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    • v.27 no.3
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    • pp.299-308
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    • 2011
  • The purpose of the present paper is to obtain some subordination and superordination preserving properties involving a certain family of multiplier transformations for meromorphic functions in the open unit disk. The sandwich-type theorems for these linear operators are also considered.

Normal Families and Shared Values of Meromorphic Functions

  • Meng, Chao
    • Kyungpook Mathematical Journal
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    • v.48 no.2
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    • pp.317-321
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    • 2008
  • Some criteria for determining the normality of the family F of meromorphic functions in the unit disc, which share values depending on f $\in$ F with their derivatives is obtained. The new results in this paper improve some earlier related results given by Pang and Zalcman [3], Fang and Zalcman [2], A. P. Singh and A. Singh [5].

APPLICATIONS ON FOURTH-ORDER DIFFERENTIAL SUBORDINATION FOR p-VALENT MEROMORPHIC FUNCTIONS

  • Atshan, Waggas Galib;AL-Ameedee, Sarah A.;AL-Maamori, Faez Ali;Altinkaya, Sahsene
    • Honam Mathematical Journal
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    • v.43 no.3
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    • pp.513-522
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    • 2021
  • In this current study, we aim to give some applications on fourth-order differential subordination for p-valent meromorphic functions in the region U* = {z ∈ ℂ : 0 < |z| < 1} = U∖{0}, where U = {z ∈ ℂ : |z| < 1} , involving the linear operator 𝓛*pf. By making use of basic concepts in theory of the fourth-order, we find new outcomes.