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Some Applications of a New Integral Operator in q -Analog for Multivalent Functions

Author

Listed:
  • Qaiser Khan

    (Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan)

  • Muhammad Arif

    (Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan)

  • Mohsan Raza

    (Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan)

  • Gautam Srivastava

    (Department of Mathematics and Computer Science, Brandon University, 270 18th Street, Brandon, MB R7A 86A9, Canada
    Research Center for Interneural Computing, China Medical University, Taichung 40402, Taiwan)

  • Huo Tang

    (School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China)

  • Shafiq ur Rehman

    (Department of Mathematics, COMSATS University Islamabad, Attock 43600, Pakistan)

Abstract

This paper introduces a new integral operator in q -analog for multivalent functions. Using as an application of this operator, we study a novel class of multivalent functions and define them. Furthermore, we present many new properties of these functions. These include distortion bounds, sufficiency criteria, extreme points, radius of both starlikness and convexity, weighted mean and partial sum for this newly defined subclass of multivalent functions are discussed. Various integral operators are obtained by putting particular values to the parameters used in the newly defined operator.

Suggested Citation

  • Qaiser Khan & Muhammad Arif & Mohsan Raza & Gautam Srivastava & Huo Tang & Shafiq ur Rehman, 2019. "Some Applications of a New Integral Operator in q -Analog for Multivalent Functions," Mathematics, MDPI, vol. 7(12), pages 1-13, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:12:p:1178-:d:293644
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    References listed on IDEAS

    as
    1. Lei Shi & Qaiser Khan & Gautam Srivastava & Jin-Lin Liu & Muhammad Arif, 2019. "A Study of Multivalent q -starlike Functions Connected with Circular Domain," Mathematics, MDPI, vol. 7(8), pages 1-12, July.
    2. Srivastava, H.M. & Rafiullah Khan, Muhammad & Arif, Muhammad, 2016. "Some subclasses of close-to-convex mappings associated with conic regions," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 94-102.
    3. Miraj Ul-Haq & Mohsan Raza & Muhammad Arif & Qaiser Khan & Huo Tang, 2019. "q-Analogue of Differential Subordinations," Mathematics, MDPI, vol. 7(8), pages 1-16, August.
    4. Hari M. Srivastava & Qazi Zahoor Ahmad & Nasir Khan & Nazar Khan & Bilal Khan, 2019. "Hankel and Toeplitz Determinants for a Subclass of q -Starlike Functions Associated with a General Conic Domain," Mathematics, MDPI, vol. 7(2), pages 1-15, February.
    Full references (including those not matched with items on IDEAS)

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