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Argument and Coefficient Estimates for Certain Analytic Functions

Author

Listed:
  • Davood Alimohammadi

    (Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran)

  • Nak Eun Cho

    (Department of Applied Mathematics, College of Natural Sciences, Pukyong National University, Busan 608-737, Korea)

  • Ebrahim Analouei Adegani

    (Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood P.O. Box 316-36155, Iran)

  • Ahmad Motamednezhad

    (Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood P.O. Box 316-36155, Iran)

Abstract

The aim of the present paper is to introduce a new class G α , δ of analytic functions in the open unit disk and to study some properties associated with strong starlikeness and close-to-convexity for the class G α , δ . We also consider sharp bounds of logarithmic coefficients and Fekete-Szegö functionals belonging to the class G α , δ . Moreover, we provide some topics related to the results reported here that are relevant to outcomes presented in earlier research.

Suggested Citation

  • Davood Alimohammadi & Nak Eun Cho & Ebrahim Analouei Adegani & Ahmad Motamednezhad, 2020. "Argument and Coefficient Estimates for Certain Analytic Functions," Mathematics, MDPI, vol. 8(1), pages 1-14, January.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:1:p:88-:d:305330
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    References listed on IDEAS

    as
    1. Deniz, Erhan & Çağlar, Murat & Orhan, Halit, 2015. "Second Hankel determinant for bi-starlike and bi-convex functions of order β," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 301-307.
    2. Nak Eun Cho & Ebrahim Analouei Adegani & Serap Bulut & Ahmad Motamednezhad, 2019. "The Second Hankel Determinant Problem for a Class of Bi-Close-to-Convex Functions," Mathematics, MDPI, vol. 7(10), pages 1-9, October.
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    Citations

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    Cited by:

    1. Ebrahim Analouei Adegani & Ahmad Motamednezhad & Mostafa Jafari & Teodor Bulboacă, 2023. "Logarithmic Coefficients Inequality for the Family of Functions Convex in One Direction," Mathematics, MDPI, vol. 11(9), pages 1-10, May.

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    2. Nak Eun Cho & Ebrahim Analouei Adegani & Serap Bulut & Ahmad Motamednezhad, 2019. "The Second Hankel Determinant Problem for a Class of Bi-Close-to-Convex Functions," Mathematics, MDPI, vol. 7(10), pages 1-9, October.

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