• 제목/요약/키워드: Alexander integral operator

검색결과 3건 처리시간 0.015초

CONSTRUCTION OF SUBCLASSES OF UNIVALENT HARMONIC MAPPINGS

  • Nagpal, Sumit;Ravichandran, V.
    • 대한수학회지
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    • 제51권3호
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    • pp.567-592
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    • 2014
  • Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk are widely studied. A new methodology is employed to construct subclasses of univalent harmonic mappings from a given subfamily of univalent analytic functions. The notions of harmonic Alexander operator and harmonic Libera operator are introduced and their properties are investigated.

UNIVALENT FUNCTIONS WITH POSITIVE COEFFICIENTS INVOLVING PASCAL DISTRIBUTION SERIES

  • Bulboaca, Teodor;Murugusundaramoorthy, Gangadharan
    • 대한수학회논문집
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    • 제35권3호
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    • pp.867-877
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    • 2020
  • The aim of this article is to make a connection between the Pascal distribution series and some subclasses of normalized analytic functions whose coefficients are probabilities of the Pascal distribution. To be more precise, we investigate such connections with the classes of analytic univalent functions with positive coefficients in the open unit disk 𝕌.

Pascal Distribution Series Connected with Certain Subclasses of Univalent Functions

  • El-Deeb, Sheeza M.;Bulboaca, Teodor;Dziok, Jacek
    • Kyungpook Mathematical Journal
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    • 제59권2호
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    • pp.301-314
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    • 2019
  • The aim of this article is to make a connection between the Pascal distribution series and some subclasses of normalized analytic functions whose coefficients are probabilities of the Pascal distribution. For these functions, for linear combinations of these functions and their derivatives, for operators defined by convolution products, and for the Alexander-type integral operator, we find simple sufficient conditions such that these mapping belong to a general class of functions defined and studied by Goodman, Rønning, and Bharati et al.