Univalence Criteria for a General Integral Operator-Reference-Cited by-同舟云学术

Univalence Criteria for a General Integral Operator

Published:2019-12-01 Issue:2 Volume:27 Page:43-57
ISSN:1584-3289
Container-title:General Mathematics
language:en
Short-container-title:

Author:

Bărbatu Camelia¹,Breaz Daniel²

Affiliation:

1. ”Babeş-Bolyai” University , Faculty of Mathematics and Computer Sciences, Department of Mathematics , 1, Kogălniceanu Street, 400084 Cluj-Napoca , Romania

2. ”1 Decembrie 1918” University of Alba Iulia , Faculty of Science, Department of Mathematics , 5, Gabriel Bethlen Street, 510009 Alba-Iulia , Romania

Abstract

Abstract In this paper we introduce a new general integral operator for analytic functions in the open unit disk 𝕌 and we obtain sufficient conditions for univalence of this integral operator.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/gm-2019-0014

Reference21 articles.

1. [1] C. L. Aldea, V. Pescar, Univalence Criteria for a general integral operator, Transilvania University of Brasov, vol. 10, no. 2, 2017, 19-30.

2. [2] D. Breaz, N. Breaz, Two Integral Operators, Studia Univ.”Babes-Bolyai”, Cluj-Napoca, Mathematica, vol. 47, no. 3, 2002, 13-21.

3. [3] D. Breaz, N. Breaz, H. M. Srivastava, An extension of the univalent condition for a family of integral operators, Appl. Math. Lett., vol. 22, no. 3, 2009, 41-44.10.1016/j.aml.2007.11.008

4. [4] D. Breaz, S. Owa, N. Breaz, A new integral univalent operator, Acta Universitatis Apulensis, vol. 16, 2008.

5. [5] B. A. Frasin, Order of convexity and univalence of general integral operator, Journal of the Franklin, vol. 348, 2011, 1012-1019.10.1016/j.jfranklin.2011.03.006

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1. Univalence Criteria for some General Integral Operators;Analele Universitatii "Ovidius" Constanta - Seria Matematica;2021-03-01