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New Sufficient Conditions for Starlikeness of Certain Integral Operator

Trailokya Panigrahi|Akshaya Kumar Mishra
경북대학교 자연과학대학 수학과|2015.03|Kyungpook Mathematical Journal|제55권 제1호|pp. 109-118|DOI http://dx.doi.org/10.5666/KMJ.2015.55.1.109

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참고문헌

키워드

Analytic functionsIntegral operatorStarlike functions
주제분류수학

초록

In the present paper, a new analytic function valued integral operator is introduced which is defined on n-copies of a subset of the class of normalized analytic functions on the unit disc of the complex plane. This operator, which is denoted here by Jai,bi(f1,...,fn), unifies and generalizes several integral operators studied earlier. Interesting sufficient conditions are derived for the univalent starlikeness Jai,bi(f1,...,fn).

Abstract

In the present paper, a new analytic function valued integral operator is introduced which is defined on n-copies of a subset of the class of normalized analytic functions on the unit disc of the complex plane. This operator, which is denoted here by Jai,bi(f1,...,fn), unifies and generalizes several integral operators studied earlier. Interesting sufficient conditions are derived for the univalent starlikeness Jai,bi(f1,...,fn).

참고문헌 (19)

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