Some Interesting Properties of a Novel Subclass of Multivalent Function with Positive Coefficients
DOI:
https://doi.org/10.31642/JoKMC/2018/060103Keywords:
Multivalent function, coefficient estimates , Hadamard product , growth theoremAbstract
In this paper, we introduce a new class of multivalent functions defined by where is a subclass of analytic and multivalent functions in the open unit disc { | | }. Moreover, we consider and prove theorems explain Some of the geometric properties for such new class was such as, coefficient estimates, growth and distortion, extreme points, radii of starlikeness, convexity and close-to-convexity as well as the convolution properties for the class
Downloads
References
AL-khafaji A. K., Abed S. S. and Atshan W. G., On differential subordination of a certain subclass of univalent functions, (Accepted for published) journal of kufa for mathematics and computer, 5(3) (2018). DOI: https://doi.org/10.31642/JoKMC/2018/050302
Aouf M. K. and Mostafa A. O., Certain Class of p-valent Function Defined by Convolution, General mathematics, 20(1)(2012),85-98.
Duren P.L., Univalent Functions, in: Grundelehren der Mathematischen Wissenachften Band 254, Springer-Verlarg, New York, Berlin, Heidleberg, Tokyo, (1983).
Dziok J. and Srivastava H. M., Classes of analytic functions associated with the generalized hypergeometric function, Applied Mathematics and Conmputation, 103(1)(1999), 1-13. DOI: https://doi.org/10.1016/S0096-3003(98)10042-5
Khairnar S. M. and More M., On a Subclass of Multivalent uniformly Starlike and Convex Functions Defined by a Linear Operator, IAENG Int. J. App. Math. , 39:3, IJAM-39-06(2009).
Schild A. and Silverman H., Convolutions of univalent functions with negative coefficient, Ann. Uni. Mariae-Curie-sklodowska Sect. A. 1975.
Raina R. K. and Srivastava H. M., Inclusion and neighborhood properties of some analytic and multivalent functions, J. Inequat, Pure & Appl. Math. 7(1)(2006),1-6.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2019 Waggas Galib Atshan, Aqeel AL-khafaji
This work is licensed under a Creative Commons Attribution 4.0 International License.
which allows users to copy, create extracts, abstracts, and new works from the Article, alter and revise the Article, and make commercial use of the Article (including reuse and/or resale of the Article by commercial entities), provided the user gives appropriate credit (with a link to the formal publication through the relevant DOI), provides a link to the license, indicates if changes were made and the licensor is not represented as endorsing the use made of the work.
