Geometric Properties and Hardy Spaces of Rabotnov Fractional Exponential Functions-Reference-Cited by-同舟云学术

Geometric Properties and Hardy Spaces of Rabotnov Fractional Exponential Functions

Published:2023-12-20 Issue:1 Volume:8 Page:5
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Raza Mohsan¹^ORCID,Breaz Daniel²^ORCID,Mushtaq Saima³,Cotîrlă Luminiţa-Ioana⁴^ORCID,Tawfiq Ferdous M. O.⁵^ORCID,Rapeanu Eleonora⁶

Affiliation:

1. Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan

2. Department of Mathematics, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, Romania

3. Faculty of Sciences, The Superior University, Lahore 54000, Pakistan

4. Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

5. Department of Mathematics, College of Science, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia

6. Department of Mathematics, “Mircea cel Batran” Naval Academy, 900218 Constanta, Romania

Abstract

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.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/8/1/5/pdf

Reference32 articles.

1. Watson, G.N. (1944). A Treatise on the Theory of Bessel Functions, Cambridge University Press. [2nd ed.].

2. Gorenflo, R., Kilbas, A.A., Mainardi, F., and Rogosin, S. (2020). Mittag-Leffler Functions. Theory and Applications, Springer. Springer Monographs in Mathematics.

3. Über den fundamental satz in der theorie der funcktionen Eαx;Wiman;Acta Math.,1905

4. A propos d’une note de M. Pierre Humbert;Agarwal;CR Acad. Sci. Paris,1953

5. Equilibrium of an elastic medium with after effect;Rabotnov;Prikl. Matem. i Mekh. (PMM),1948