On a Subclass of Harmonic Univalent Functions Defined by Using a New Differential Operator

Authors

  • N.D. Sangle Department of Mathematics, D.Y. Patil College of Engineering and Technology, Kasaba Bawada, Kolhapur, Maharashtra 416006, India
  • A.N. Metkari Hon. Annasaheb Dange Junior College, Ashta, Maharashtra 416301, India
  • S.P. Hande Department of Mathematics, Vishwanathrao Deshpande Institute of Technology, Haliyal, Karnataka 581329, India

DOI:

https://doi.org/10.63671/ijsssr.v1i3.111

Keywords:

Harmonic functions, univalent functions and differential operator

Abstract

In this paper, a class of complex-valued harmonic univalent functions f (z) = h(z) + g(z̄) in the open disk U = {z : z ∈ Cand|z| < 1} is defined by using a new differential operator. We investigate coefficient bounds, distortion inequalities, extreme points and convex combination results for this class.

vol 1 no 3

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Published

2023-10-09

Issue

Vol. 1 No. 3: October-December 2023

Section

Articles

License

Copyright (c) 2023 International Journal of Science and Social Science Research

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Sangle, N., Metkari, A., & Hande, S. (2023). On a Subclass of Harmonic Univalent Functions Defined by Using a New Differential Operator. International Journal of Science and Social Science Research, 1(3), 27-37. https://doi.org/10.63671/ijsssr.v1i3.111

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