Certain basic information related to the Tremblay operator and some applications in connection therewith-Reference-Cited by-同舟云学术

Certain basic information related to the Tremblay operator and some applications in connection therewith

Published:2019-12-01 Issue:2 Volume:27 Page:13-21
ISSN:1584-3289
Container-title:General Mathematics
language:en
Short-container-title:

Author:

Irmak Hüseyin¹

Affiliation:

1. Çankırı Karatekin University , Faculty of Science, Department of Mathematics , Tr-18100, Uluyazı Campus, Çankırı , Turkey e-mail: hirmak@karatekin

Abstract

Abstract In this scientific note, an operator, which is the well-known Tremblay operator in the literature, is first introduced and some of its applications to certain analytic complex functions, which are normalized and analytic in the open unit disk, are then determined. In addition, certain special results of the related applications are also emphasized.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/gm-2019-0011

Reference18 articles.

1. [1] O. Altıntaş, H. Irmak, H. M. Srivastava, Fractional calculus and certain starlike functions with negative coefficients, Comput. Math. Appl., vol. 30, no. 2, 1995, 9-15.10.1016/0898-1221(95)00073-8

2. [2] M. P. Chen, H. Irmak, H. M. Srivastava, Some families of multivalently analytic functions with negative coefficients, J. Math. Anal. Appl., vol. 214, no. 2, 1997, 674-690.10.1006/jmaa.1997.5615

3. [3] M. P. Chen, H. Irmak, H. M. Srivastava, A certain subclass of analytic functions involving operators of fractional calculus, Comput. Math. Appl., vol. 35, no. 2, 1998, 83-91.10.1016/S0898-1221(98)00007-8

4. [4] P. L. Duren, Grundlehren der Mathematischen Wissencha en, Springer-Verlag, New York, Berlin, Heidelberg, Tokyo, 1983.

5. [5] Z. Esa, H. M. Srivastava, A. Kılıçman, R. W. Ibrahim, A novel subclass of analytic functions specified by a family of fractional derivatives in the complex domain, Filomat, vol. 31, no. 9, 2017, 2837-2849.10.2298/FIL1709837E

Cited by 5 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. Various fractional-order type operators and some of their implications to certain normalized functions analytic in the open unit disc;General Mathematics;2023-06-01

3. An extensive note on various fractional-order type operators and some of their effects to certain holomorphic functions;Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica;2022-01-01

4. A note on some elementary properties and applications of certain operators to certain functions analytic in the unit disk;Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica;2020-12-01

5. Geometric properties of some applications of the Tremblay operator;General Mathematics;2020-12-01