• 제목/요약/키워드: Bazilevic functions

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GENERALIZED CLOSE-TO-CONVEX FUNCTIONS

  • NOOR, KHALIDA INAYAT
    • 호남수학학술지
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    • 제17권1호
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    • pp.97-106
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    • 1995
  • We introduce a new class of analytic functions in the unit disk which generalizes the concepts of close-to-convexity and of bounded boundary rotation, and study its various properties including its connection with other classes of analytic and univalent functions.

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FEKETE-SZEGÖ INEQUALITY FOR A SUBCLASS OF NON-BAZILEVIĆ FUNCTIONS INVOLVING CHEBYSHEV POLYNOMIAL

  • Al-khafaji, Saba N.;Bulut, Serap;Juma, Abdul Rahman S.
    • 호남수학학술지
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    • 제43권3호
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    • pp.503-511
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    • 2021
  • In this present work, we obtain certain coefficients of the subclass 𝓗λ,𝛄(s, b, n) of non-Bazilević functions and estimate the relevant connection to the famous classical Fekete-Szegö inequality of functions belonging to this class.

SHARP COEFFICIENT INEQUALITIES FOR CERTAIN SUBCLASSES OF BI-UNIVALENT BAZILEVIČ FUNCTIONS

  • Patil, Amol Bhausaheb
    • 대한수학회논문집
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    • 제37권1호
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    • pp.113-123
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    • 2022
  • In the present paper, we introduce the subclasses 𝔅(𝜇), B(𝜇, 𝛾) and UΣ(𝜇, 𝛾) of bi-univalent Bazilevič functions which are defined in the open unit disk 𝔻. Further, we obtain sharp estimates on initial coefficients a2, a3, a4 and also sharp estimate on the Fekete-Szegö functional a3 - ka22 for the functions belong to these subclasses.