Modified Hadamard product properties of certain class of analytic functions with varying arguments defined by the convolution of Sǎlǎgean and Ruscheweyh derivative

Ágnes Orsolya Páll-Szabó

doi:10.2478/ausm-2019-0025

.blurhash-client-img { display: none !important; }

Modified Hadamard product properties of certain class of analytic functions with varying arguments defined by the convolution of Sǎlǎgean and Ruscheweyh derivative

Acta Universitatis Sapientiae, Mathematica

Volume 11 (2019): Issue 2 (December 2019)

By: Ágnes Orsolya Páll-Szabó

Open Access

|Feb 2020

Abstract

In this paper we study the Hadamard product properties of certain class of analytic functions with varying arguments defined by the convolution of Sǎlǎgean and Ruscheweyh derivative.

The obtained results are sharp and they improve known results.

References

[1] H. S. Al-Amiri, On Ruscheweyh derivatives, Ann. Polon. Math., 38 (1980), 87–94.10.4064/ap-38-1-88-94
Search in Google Scholar Back to article
[2] A. A. Attiya and M. K. Aouf, A study on certain class of analytic functions defined by Ruscheweyh derivative, Soochow J. Math., 33 (2) (2007), 273–289.
Search in Google Scholar Back to article
[3] H. M. Hossen, G. S. Sǎlǎgean and M. K. Aouf, Notes on certain classes of analytic functions with negative coefficients, Mathematica, 7 (1981), 39 (2) (1997), 165–179.
Search in Google Scholar Back to article
[4] P. T. Mocanu, T. Bulboacǎ, G. S. Sǎlǎgean, The geometric theory of univalent functions, Casa Cǎrţii de Ştiinţǎ, Cluj-Napoca, 2006.
Search in Google Scholar Back to article
[5]Á. O. Páll-Szabó, O. Engel, E. Szatmári, Certain class of analytic functions with varying arguments defined by the convolution of Sǎlǎgean and Ruscheweyh derivative, Acta Universitatis Apulensis, 51 (2017), 61–74.10.17114/j.aua.2017.51.06
Search in Google Scholar Back to article
[6] St. Ruscheweyh, New criteria for univalent functions, Proc. Amer. Math. Soc., 49 (1975), 109–115.10.1090/S0002-9939-1975-0367176-1
Search in Google Scholar Back to article
[7] G. S. Sǎlǎgean, Convolution properties of some classes of analytic functions with negative coefficients, Proc. Int. Symposium New. Develop. Geometric Function Th. and its Appl. GFTA, Univ. Kebangsaan Malaysia, 10-13 Nov. 2008, ISBN: 978-967-5048-32-6, pag. 12–16.
Search in Google Scholar Back to article
[8] G. S. Sǎlǎgean, Subclasses of univalent functions, Lecture Notes in Math. (Springer Verlag), 1013 (1983), 362–372.10.1007/BFb0066543
Search in Google Scholar Back to article
[9] A. Schild and H. Silverman,Convolution of univalent functions with negative coefficients, Ann. Univ. Mariae Curie-Sklodowska Sect. A, 29 (1975), 99–107.
Search in Google Scholar Back to article
[10] H. Silverman,Univalent functions with varying arguments, Houston J. Math., 17 (1981), 283–287.
Search in Google Scholar Back to article

DOI: https://doi.org/10.2478/ausm-2019-0025 | Journal eISSN: 2066-7752

Journal RSS Feed

Language: English

Page range: 350 - 362

Submitted on: Oct 28, 2017

Published on: Feb 27, 2020

Published by: Sapientia Hungarian University of Transylvania

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

analytic functions,

Hadamard product,

the convolution of Sǎlǎgean and Ruscheweyh derivative

Related subjects:

Mathematics,

General mathematics

© 2020 Ágnes Orsolya Páll-Szabó, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Previous article Volume 11 (2019): Issue 2 (December 2019)Next article