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Geometric Properties of Some Generalized Mathieu Power Series inside the Unit Disk.
- Source :
-
Axioms (2075-1680) . Oct2022, Vol. 11 Issue 10, pN.PAG-N.PAG. 13p. - Publication Year :
- 2022
-
Abstract
- We consider two parametric families of special functions: One is defined by a power series generalizing the classical Mathieu series, and the other one is a generalized Mathieu type power series involving factorials in its coefficients. Using criteria due to Fejér and Ozaki, we provide sufficient conditions for these functions to be close-to-convex or starlike inside the unit disk, and thus univalent. One of our proofs is assisted by symbolic computation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 20751680
- Volume :
- 11
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Axioms (2075-1680)
- Publication Type :
- Academic Journal
- Accession number :
- 159869545
- Full Text :
- https://doi.org/10.3390/axioms11100568