Some classes involving a convolution of analytic functions with some univalency conditions
In this paper, involving a convolution \(f\ast g\), two classes of normalized analytic functions \(f\) are defined. Showing an inclusion relation between these classes, various sufficient conditions for functions to be in these classes are established. In particular, varied forms of univalency conditions of the convolution function \(f\ast g\) are given which lead to some univalency conditions of several linear operators.
Authors
- Saurabh Porwal (ORCID: https://orcid.org/0000-0003-0847-3550)
- Omendra Mishra (ORCID: https://orcid.org/0000-0001-9614-8656)
- P. K. Sharma (ORCID: https://orcid.org/0000-0001-5463-8665)
- Aditya Kishore Bajpai
Institutions
- University of Lucknow (IN)
- Hans Raj Mahila Maha Vidyalaya (IN)
- Shri Ramswaroop Memorial University (IN)
Publication Details
- Journal
- Studia Universitatis Babes-Bolyai Matematica
- Published
- 2025-05-29
- DOI
- https://doi.org/10.24193/subbmath.2025.2.04
- Primary Topic
- Analytic and geometric function theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00