A class of univalent functions involving a differentio-integral operator

Demonstratio mathematica

article

P. K. Jain¹  P. Sharma²  V. Jain³ 

[1] Department of Mathematics, University of Delhi;Department of Mathematics and Astronomy, University of Lucknow;Department of Mathematics, Maharaja Agrasen College, University of Delhi

关键词: analytic functions;    starlike and convex functions;    convolution;    subordination;   

DOI  :  10.1515/dema-2013-0459

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

This paper focuses on a generalized linear operator I m which is a combination of both differential and integral operators. Involving this operator, a class TS k ( I m ; α , β ) (⊆ TS ( I m ; α , β )) with respect to k -symmetric points is defined. Results based on coefficient inequalities and bounds for this class are obtained. Various integral representations and some consequent results for TS ( I m ; α , β ) class are also determined. Further, results on partial sums are discussed.

【 授权许可】

CC BY