An Application of Touchard Polynomials on Subclasses of Analytic Functions-Reference-Cited by-同舟云学术

An Application of Touchard Polynomials on Subclasses of Analytic Functions

Published:2023-11-29 Issue:12 Volume:15 Page:2125
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Ali Ekram E.¹²^ORCID,Kota Waffa Y.³,El-Ashwah Rabha M.³^ORCID,Albalahi Abeer M.¹^ORCID,Mansour Fatma E.⁴,Tahira R. A.⁵

Affiliation:

1. Department of Mathematics, College of Science, University of Ha’il, Ha’il 81451, Saudi Arabia

2. Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said 42521, Egypt

3. Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt

4. Department of Physics, College of Science and Arts in Methneb, Qassim University, Methneb 51931, Saudi Arabia

5. Department of Mathematics, College of Science, Jazan University, Jazan 45142, Saudi Arabia

Abstract

The aim of this work is to discuss some conditions for Touchard polynomials to be in the classes TBb(ρ,σ) and TKb(ρ,σ). Also, we obtain some connection between Rη(D,E) and TKb(ρ,σ). Also, we investigate several mapping properties involving these subclasses. Further, we discuss the geometric properties of an integral operator related to the Touchard polynomial. Additionally, briefly mentioned are specific instances of our primary results. Also, several particular examples are presented.

Funder

Scientific Research Deanship at University of Ha’il—Saudi Arabia

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/12/2125/pdf

Reference33 articles.

1. Duren, P.L. (1983). Univalent Functions, Springer.

2. Bounded starlike functions of complex order;Nasr;Proc. Indian Acad. Sci. (Math. Sci.),1983

3. Starlike function of complex order;Nasr;J. Natar Sci. Math.,1985

4. On convex functions of complex order;Nasr;Bull. Fac. Sci. Mansoura Univ.,1982

5. The sufficient of a certain family holomorphic functions. Zeszyty Naukowe Uniwesytetu Lodzkiego, Seria: Nauki Matematyzno-Przyrodnicze;Wiatrowski;J. Appl. Math. Phys.,1971