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Yamaguchi -Noshiro Type Bi-Univalent Functions Associated with Sălăgean-Erdély–Kober Operator

Author

Listed:
  • Asma Alharbi

    (Department of Mathematics, College of Science and Arts, ArRass, Qassim University, Buraidah 51452, Saudi Arabia
    These authors contributed equally to this work.)

  • Gangadharan Murugusundaramoorthy

    (School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, TN, India
    These authors contributed equally to this work.)

  • Sheza. M. El-Deeb

    (Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt
    These authors contributed equally to this work.
    Current address: Department of Mathematics, College of Science and Arts, Al-Badaya, Qassim University, Buraidah 51911, Saudi Arabia.)

Abstract

We defined two new subclasses of analytic bi-univalent function class Σ , in the open unit disk related with the Sălăgean–Erdély–Kober operator. The bounds on initial coefficients | a 2 | , | a 3 | and | a 4 | for the functions in these new subclasses of Σ are investigated. Using the estimates of coefficients a 2 , a 3 , we also discuss the Fekete-Szegö inequality results for the function classes defined in this paper. Relevant connections of these results, presented here as corollaries, are new and not studied in association with Sălăgean-Erdély–Kober operator for the subclasses defined earlier.

Suggested Citation

  • Asma Alharbi & Gangadharan Murugusundaramoorthy & Sheza. M. El-Deeb, 2022. "Yamaguchi -Noshiro Type Bi-Univalent Functions Associated with Sălăgean-Erdély–Kober Operator," Mathematics, MDPI, vol. 10(13), pages 1-14, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:13:p:2241-:d:848269
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