INEQUALITIES FOR A CERTAIN SUBCLASS OF BI-UNIVALENT FUNCTIONS INVOLVING A NEW INTEGRAL OPERATOR

Authors

  • RENU P. PATHAK P Sandip University, Nashik, Maharashtra, India Author
  • SANTOSH D. JADHAV P Sandip University, Nashik, Maharashtra, India Author
  • RANJAN S. KHATU P Sandip University, Nashik, Maharashtra, India Author
  • AMOL B. PATIL Sandip University, Nashik, Maharashtra, India Author

Keywords:

Analytic Function, Univalent function

Abstract

In the present paper, we investigate and introduce generalized integral operator J α defined on the unit disc U. Further, we introduce subclass R (λ, δ, γ, m, n) of bi-univalent function using this integral operator and obtain estimates on the initial coefficients |a2| and a3| for the functions belong to this subclass. Also connection with some results of the earlier known subclasses are mentioned.

Author Biography

  • RENU P. PATHAK P, Sandip University, Nashik, Maharashtra, India

    Department of Mathematics, School of Science,
    Sandip University, Nashik, Maharashtra, India

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Published

2024-05-12

Issue

Vol. 12 No. 3 (2024)

Section

Articles

How to Cite

P, R. P. P., P, S. D. J., P, R. S. K., & AMOL B. PATIL. (2024). INEQUALITIES FOR A CERTAIN SUBCLASS OF BI-UNIVALENT FUNCTIONS INVOLVING A NEW INTEGRAL OPERATOR. International Journal of Intelligent Systems and Applications in Engineering, 12(3). https://internationaljounrnalofisae.com/index.php/ijisae/article/view/4