• Title/Summary/Keyword: meromorphic close-to-convex

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CERTAIN SUBCLASS OF STRONGLY MEROMORPHIC CLOSE-TO-CONVEX FUNCTIONS

  • Gagandeep Singh;Gurcharanjit Singh; Navyodh Singh
    • Korean Journal of Mathematics
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    • v.32 no.1
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    • pp.73-82
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    • 2024
  • The purpose of this paper is to introduce a new subclass of strongly meromorphic close-to-convex functions by subordinating to generalized Janowski function. We investigate several properties for this class such as coefficient estimates, inclusion relationship, distortion property, argument property and radius of meromorphic convexity. Various earlier known results follow as particular cases.

Argument Estimates Of Certain Meromorphic Functions

  • Cho, Nak-Eun
    • Communications of the Korean Mathematical Society
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    • v.15 no.2
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    • pp.263-274
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    • 2000
  • The object of the present paper is to obtain some argu-ment properties of certain mermorphic functions in the punctured open unit disk. Furthermore, we investigate their integral preserving properties in a sector.

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A CERTAIN SUBCLASS OF MEROMORPHIC FUNCTIONS WITH POSITIVE COEFFICIENTS ASSOCIATED WITH AN INTEGRAL OPERATOR

  • Akgul, Arzu
    • Honam Mathematical Journal
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    • v.39 no.3
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    • pp.331-347
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    • 2017
  • The aim of the present paper is to introduce a new subclass of meromorphic functions with positive coefficients defined by a certain integral operator and a necessary and sufficient condition for a function f to be in this class. We obtain coefficient inequality, meromorphically radii of close-to-convexity, starlikeness and convexity, convex linear combinations, Hadamard product and integral transformation for the functions f in this class.

A NEW SUBCLASS OF MEROMORPHIC FUNCTIONS DEFINED BY HILBERT SPACE OPERATOR

  • AKGUL, Arzu
    • Honam Mathematical Journal
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    • v.38 no.3
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    • pp.495-506
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    • 2016
  • In this paper, we introduce and investigate a new subclass of meromorphic functions associated with a certain integral operator on Hilbert space. For this class, we obtain several properties like the coefficient inequality, extreme points, radii of close-to-convexity, starlikeness and meromorphically convexity and integral transformation. Further, it is shown that this class is closed under convex linear combination.