New Sufficient Conditions for p-Valent Functions
A function that is holomorphic in a set E, in the complex plane, is called p-valent in E if, for every complex number, w, the equation f (z) = w has, at most, p roots in E. In this paper, we established some sufficient conditions for holomorphic functions in the unit disk |z| < 1 to be at most p-valent in the unit disk or p-valent or p-valent starlike in the unit disk.
Authors
- Janusz Sokół (ORCID: https://orcid.org/0000-0003-1204-2286)
- Edyta Trybucka (ORCID: https://orcid.org/0000-0002-5430-0629)
- Mamoru Nunokawa
Institutions
- Rzeszów University of Technology (PL)
- Gunma University (JP)
- University of Rzeszów (PL)
Publication Details
- Journal
- Symmetry
- Published
- 2025-07-16
- DOI
- https://doi.org/10.3390/sym17071141
- Primary Topic
- Numerical methods in inverse problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00