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Certain Class of Analytic Functions with respect to Symmetric Points Defined by Q-Calculus

Author

Listed:
  • K. R. Karthikeyan
  • G. Murugusundaramoorthy
  • S. D. Purohit
  • D. L. Suthar
  • Firdous A. Shah

Abstract

In this study, we familiarise a novel class of Janowski-type star-like functions of complex order with regard to j,k-symmetric points based on quantum calculus by subordinating with pedal-shaped regions. We found integral representation theorem and conditions for starlikeness. Furthermore, with regard to j,k-symmetric points, we successfully obtained the coefficient bounds for functions in the newly specified class. We also quantified few applications as special cases which are new (or known).

Suggested Citation

  • K. R. Karthikeyan & G. Murugusundaramoorthy & S. D. Purohit & D. L. Suthar & Firdous A. Shah, 2021. "Certain Class of Analytic Functions with respect to Symmetric Points Defined by Q-Calculus," Journal of Mathematics, Hindawi, vol. 2021, pages 1-9, August.
    • Handle: RePEc:hin:jjmath:8298848
    DOI: 10.1155/2021/8298848
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    Cited by:

    1. Kholood M. Alsager & Sheza M. El-Deeb & Gangadharan Murugusundaramoorthy & Daniel Breaz, 2024. "Coefficient Functionals of Sakaguchi-Type Starlike Functions Involving Caputo-Type Fractional Derivatives Subordinated to the Three-Leaf Function," Mathematics, MDPI, vol. 12(14), pages 1-14, July.
    2. Sheza M. El-Deeb & Asma Alharbi & Gangadharan Murugusundaramoorthy, 2023. "Sakaguchi Type Starlike Functions Related with Miller-Ross-Type Poisson Distribution in Janowski Domain," Mathematics, MDPI, vol. 11(13), pages 1-14, June.

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