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On Meromorphic Parabolic Starlike Functions with Fixed Point Involving the q-Hypergeometric Function and Fixed Second Coefficients

Author

Listed:
  • Norah Saud Almutairi

    (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Awatef Shahen

    (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Hanan Darwish

    (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

Abstract

This article defines a new class of meromorphic parabolic starlike functions in the punctured unit disc D * = { z ∈ C : 0 < | z | < 1 } that includes fixed second coefficients of class A s , c d ψ , τ , ν , η and the q- hypergeometric functions. For the function belonging to the class A s , c d ψ , τ , ν , η , some properties are obtained, including the coefficient inequalities, closure theorems, and the radius of convexity.

Suggested Citation

  • Norah Saud Almutairi & Awatef Shahen & Hanan Darwish, 2023. "On Meromorphic Parabolic Starlike Functions with Fixed Point Involving the q-Hypergeometric Function and Fixed Second Coefficients," Mathematics, MDPI, vol. 11(13), pages 1-10, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:13:p:2991-:d:1186869
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    References listed on IDEAS

    as
    1. Firas Ghanim & Maslina Darus, 2011. "A New Class of Meromorphically Analytic Functions with Applications to the Generalized Hypergeometric Functions," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-10, September.
    2. F. Ghanim, 2013. "A Study of a Certain Subclass of Hurwitz-Lerch-Zeta Function Related to a Linear Operator," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, September.
    3. F. Ghanim & M. Darus, 2014. "A Study of Cho-Kwon-Srivastava Operator with Applications to Generalized Hypergeometric Functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-6, July.
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