Title: About a Subclass of Analytic Functions Defined by a Fractional Integral Operator
Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814
Article ID: MTJPAM-D-20-00037; Volume 3 / Issue 3 / Year 2021 (Special Issue), Pages 200-210
Document Type: Research Paper
aDepartment of Mathematics and Computer Science, University of Oradea, str. Universitatii nr. 1, 410087 Oradea, Romania
Received: 28 October 2020, Accepted: 28 February 2021, Published: 25 April 2021.
Corresponding Author: Alb Lupaş Alina (Email address: email@example.com)
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In this paper we have introduced and studied the subclass using the fractional integral operator associated with a linear differential operator. The main object is to investigate several properties such as coefficient estimates, distortion theorems, closure theorems, neighborhoods and the radii of starlikeness, convexity and close-to-convexity of functions belonging to the class .
Keywords: Analytic functions, Univalent functions, Radii of starlikeness and convexity, Neighborhood propertyReferences:
- A. Alb Lupaş, Certain differential subordinations using a generalized Sălăgean operator and Ruscheweyh operator, Fract. Calc. Appl. Anal. 13 (4), 355-360, 2010.
- A. Alb Lupaş, Properties on a subclass of univalent functions defined by using Sălăgean operator and Ruscheweyh derivative, J. of Comput. Anal. Appl. 21 (7), 1213-1217, 2016.
- A. Alb Lupaş, Inequalities for Analytic Functions Defined by a Fractional Integral Operator, Frontiers in functional equations and analytic inequalities, Springer, 731-745, 2020.
- N. E. Cho, A. M. K. Aouf, Some applications of fractional calculus operators to a certain subclass of analytic functions with negative coefficients, Tr. J. of Mathematics 20, 553-562, 1996.
- S. M. El-Deeb, A. Alb Lupaş, Fuzzy Differential Subordinations Connected with Convolution, submitted 2020.