Geometric Properties of a New Integral Operator

Roberta Bucur; Loriana Andrei; Daniel Breaz

doi:10.1155/2015/430197

Abstract and Applied Analysis (Jan 2015)

Geometric Properties of a New Integral Operator

Roberta Bucur,
Loriana Andrei,
Daniel Breaz

Affiliations

Roberta Bucur: Department of Mathematics, University of Piteşti, Târgul din Vale Street, No. 1, 110040 Pitesti, Romania
Loriana Andrei: Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania
Daniel Breaz: Department of Mathematics, “1 Decembrie 1918” University of Alba Iulia, N. Iorga Street, No. 11-13, 510009 Alba Iulia, Romania

DOI: https://doi.org/10.1155/2015/430197
Journal volume & issue: Vol. 2015

Abstract

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We obtain sufficient conditions for the univalence, starlikeness, and convexity of a new integral operator defined on the space of normalized analytic functions in the open unit disk. Some subordination results for the new integral operator are also given. Several corollaries follow as special cases.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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