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q -Generalized Linear Operator on Bounded Functions of Complex Order

Author

Listed:
  • Rizwan Salim Badar

    (Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan)

  • Khalida Inayat Noor

    (Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan)

Abstract

This article presents a q -generalized linear operator in Geometric Function Theory (GFT) and investigates its application to classes of analytic bounded functions of complex order S q ( c ; M ) and C q ( c ; M ) where 0 < q < 1 , 0 ≠ c ∈ C , and M > 1 2 . Integral inclusion of the classes related to the q -Bernardi operator is also proven.

Suggested Citation

  • Rizwan Salim Badar & Khalida Inayat Noor, 2020. "q -Generalized Linear Operator on Bounded Functions of Complex Order," Mathematics, MDPI, vol. 8(7), pages 1-14, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1149-:d:384160
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    Cited by:

    1. Georgia Irina Oros, 2022. "Geometrical Theory of Analytic Functions," Mathematics, MDPI, vol. 10(18), pages 1-4, September.

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