A note on some elementary properties and applications of certain operators to certain functions analytic in the unit disk-Reference-Cited by-同舟云学术

A note on some elementary properties and applications of certain operators to certain functions analytic in the unit disk

Published:2020-12-01 Issue:1 Volume:19 Page:193-201
ISSN:2300-133X
Container-title:Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
language:en
Short-container-title:

Author:

Irmak Hüseyin¹

Affiliation:

1. Çankırı Karatekin University , Faculty of Science, Department of Mathematics , Uluyazı Campus, TR 18100, Çankırı , Turkey

Abstract

Abstract This scientific note relates to introducing certain elementary operators defined in the unit disk in the complex plane, then determining various applications (specified by those operators) to certain analytic functions, and also revealing a number of possible implications of them.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/aupcsm-2020-0014

Reference22 articles.

1. [1] Altıntaş, Osman, and Hüseyin Irmak, and Hari Mohan Srivastava. “Fractional calculus and certain starlike functions with negative coefficients.” Comput. Math. Appl. 30, no. 2, (1995): 9-15. Cited on 194.

2. [2] Chen, Ming-Po, and Hüseyin Irmak, and Hari Mohan Srivastava. “Some families of multivalently analytic functions with negative coefficients.” J. Math. Anal. Appl. 214, no. 2 (1997): 674-690. Cited on 194.

3. [3] Chen, Ming-Po, and Hüseyin Irmak, and Hari Mohan Srivastava. “A certain subclass of analytic functions involving operators of fractional calculus.” Comput. Math. Appl. 35, no. 2 (1998): 83-91. Cited on 194.

4. [4] Duren, Peter L. Univalent functions. Vol. 259 of Grundlehren der Mathematischen Wissenschaften. New York: Springer-Verlag, 1983. Cited on 200.

5. [5] Esa, Zainab et al. “A novel subclass of analytic functions specified by a family of fractional derivatives in the complex domain.” Filomat 31, no. 9, (2017): 2837-2849. Cited on 194 and 195.

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Notes on various operators of fractional calculus and some of their implications for certain analytic functions;Studia Universitatis Babes-Bolyai Matematica;2023-12-30

2. Notes on Various Transforms Identified by Some Special Functions with Complex (or Real) Parameters and Some of Related Implications;Engineering World;2023-10-18

3. Characterizations of some fractional-order operators in complex domains and their extensive implications to certain analytic functions;Annals of the University of Craiova - Mathematics and Computer Science Series;2021-06-30

4. A variety of multivalently analytic functions with complex coefficients and some argument properties of their applications;Punjab University Journal of Mathematics;2021-06-24