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Applications of Certain p -Valently Analytic Functions

Author

Listed:
  • Georgia Irina Oros

    (Department of Mathematics and Computer Science, Faculty of Informatics and Sciences, University of Oradea, 410087 Oradea, Romania
    These authors contributed equally to this work.)

  • Gheorghe Oros

    (Department of Mathematics and Computer Science, Faculty of Informatics and Sciences, University of Oradea, 410087 Oradea, Romania
    These authors contributed equally to this work.)

  • Shigeyoshi Owa

    (1 Decembrie 1918 University, 510009 Alba Iulia, Romania
    These authors contributed equally to this work.)

Abstract

In this paper, a new operator D s f , with s a real number, is defined considering functions that belong to the known class of p -valent analytic functions in the open unit disk U . Applying this operator, a new subclass of p -valently analytic functions is introduced and some interesting subordination- and coefficient-related properties of the functions in this class are discussed. It is also shown that for certain values given to the parameters involved in the definition of the class, p -valently starlike and p -valently convex functions of certain orders can be obtained, respectively. Examples are also given as applications of the newly proven results.

Suggested Citation

  • Georgia Irina Oros & Gheorghe Oros & Shigeyoshi Owa, 2022. "Applications of Certain p -Valently Analytic Functions," Mathematics, MDPI, vol. 10(6), pages 1-17, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:6:p:910-:d:769902
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    References listed on IDEAS

    as
    1. Nak Eun Cho, 1993. "On certain classes of p -valent analytic functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 16, pages 1-10, January.
    2. Ekram Elsayed Ali & Teodor Bulboacă, 2020. "Subclasses of Multivalent Analytic Functions Associated with a q -Difference Operator," Mathematics, MDPI, vol. 8(12), pages 1-8, December.
    3. Bo Wang & Rekha Srivastava & Jin-Lin Liu, 2021. "A Certain Subclass of Multivalent Analytic Functions Defined by the q -Difference Operator Related to the Janowski Functions," Mathematics, MDPI, vol. 9(14), pages 1-16, July.
    Full references (including those not matched with items on IDEAS)

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