Geometric Properties and Hardy Spaces of Rabotnov Fractional Exponential Functions

Autor: Mohsan Raza, Daniel Breaz, Saima Mushtaq, Luminiţa-Ioana Cotîrlă, Ferdous M. O. Tawfiq, Eleonora Rapeanu
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Fractal and Fractional, Vol 8, Iss 1, p 5 (2023)
Druh dokumentu: article
ISSN: 2504-3110
DOI: 10.3390/fractalfract8010005
Popis: The aim of this study is to investigate a certain sufficiency criterion for uniform convexity, strong starlikeness, and strong convexity of Rabtonov fractional exponential functions. We also study the starlikeness and convexity of order γ. Moreover, we find conditions so that the Rabotnov functions belong to the class of bounded analytic functions and Hardy spaces. Various consequences of these results are also presented.
Databáze: Directory of Open Access Journals
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