Back to Search
Start Over
On the Fekete–Szegö Problem for Meromorphic Functions Associated with p,q-Wright Type Hypergeometric Function
- Source :
- Symmetry, Vol 13, Iss 2143, p 2143 (2021), Symmetry, Volume 13, Issue 11
- Publication Year :
- 2021
- Publisher :
- MDPI AG, 2021.
-
Abstract
- Making use of a post-quantum derivative operator, we define two classes of meromorphic analytic functions. For the considered family of functions, we aim to investigate the sharp bounds’ values in the case of the Fekete–Szegö problem. The study of the well-known Fekete–Szegö functional in the post-quantum calculus case for meromorphic functions provides new outcomes for research in the field. With the extended p,q-operator, we establish certain inequalities’ relations concerning meromorphic functions. In the final part of the paper, a new p,q-analogue of the q-Wright type hypergeometric function is introduced. This function generalizes the classical and symmetrical Gauss hypergeometric function. All the obtained results are sharp.
- Subjects :
- Pure mathematics
Physics and Astronomy (miscellaneous)
Mathematics::Complex Variables
General Mathematics
Field (mathematics)
Function (mathematics)
Fekete–Szegö problem
p,q-Wright type hypergeometric function
Type (model theory)
Differential operator
Wright
Chemistry (miscellaneous)
Computer Science (miscellaneous)
QA1-939
Computer Science::Programming Languages
meromorphic functions
Hypergeometric function
p,q-derivative operator
Mathematics
Analytic function
Meromorphic function
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 13
- Issue :
- 2143
- Database :
- OpenAIRE
- Journal :
- Symmetry
- Accession number :
- edsair.doi.dedup.....0783a736949e80ecc28b86e290a6bb2c