• 제목/요약/키워드: p-valent functions

검색결과 42건 처리시간 0.02초

ON CLASSES OF CERTAIN ANALYTIC FUNCTIONS DEFINED BY MULTIPLIER TRANSFORMATIONS

  • Lee, Sang-Ho;Cho, Nak-Eun
    • East Asian mathematical journal
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    • 제16권2호
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    • pp.225-231
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    • 2000
  • The purpose of the present paper is to introduce a new class $\mathcal{P}_{n,p}(\alpha)$ of analytic functions defined by a multiplier transformation and to investigate some properties for the class $\mathcal{P}_{n,p}(\alpha)$.Furthermore, we consider an integral of functions belonging to the class $\mathcal{P}_{n,p}(\alpha)$.

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On Certain Class of Multivalent Functions Involving the Cho-Kwon-Srivastava Operator

  • Shenan, Jamal Mohammad
    • Kyungpook Mathematical Journal
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    • 제52권1호
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    • pp.21-32
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    • 2012
  • In this paper a new subclass of multivalent functions with negative coefficients defined by Cho-Kwon-Srivastava operator is introduced. Coefficient estimate and inclusion relationships involving the neighborhoods of p-valently analytic functions are investigated for this class. Further subordination result and results on partial sums for this class are also found.

COEFFICIENT BOUNDS FOR p-VALENTLY CLOSE-TO-CONVEX FUNCTIONS ASSOCIATED WITH VERTICAL STRIP DOMAIN

  • Bulut, Serap
    • Korean Journal of Mathematics
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    • 제29권2호
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    • pp.395-407
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    • 2021
  • By considering a certain univalent function that maps the unit disk 𝕌 onto a strip domain, we introduce new subclasses of analytic and p-valent functions and determine the coefficient bounds for functions belonging to these new classes. Relevant connections of some of the results obtained with those in earlier works are also provided.