Convexity for New Integral Operator on k-uniformly p-valent α-convex Functions of Complex Order

LI Shu-hai, MA Li-na, AO-en

doi:10.13371/j.cnki.chin.q.j.m.2014.01.011

Chinese Quarterly Journal of Mathematics >

2014 , Vol. 29 >Issue 1: 88 - 96

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.01.011

Convexity for New Integral Operator on k-uniformly p-valent α-convex Functions of Complex Order

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School of Mathematics and Statistics, Chifeng University

LI Shu-hai(1966-), male(mongolian), native of Chifeng, Inner Mongolia, a professor of Chifeng University, engages in geometric function theory and applications; MA Li-na(1982-), female(mongolian), native of Chifeng, Inner Mongolia, a lecturer of Chifeng University, M.S.D., engages in harmonic analysis; AO-en(1980-), female(mongolian), native of Chifeng, Inner Mongolia, a lecturer of Chifeng University, M.S.D., engages in complex analysis.

Received date: 2013-01-21

Online published: 2023-02-13

Supported by

Supported by the Natural Science Foundation of Inner Mongolia(2009MS0113)；Supported by the Higher School Research Foundation of Inner Mongolia(NJzy08150)

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Abstract

In this paper, we obtain the convexity of new general integral operator on some classes of k-uniformly p-valent α-convex functions of complex order. These results extend some known theorems.

Key words： analytic functions; p-valently; k-uniformly; starlike; convex; integral operator

Cite this article

LI Shu-hai, MA Li-na, AO-en . Convexity for New Integral Operator on k-uniformly p-valent α-convex Functions of Complex Order[J]. Chinese Quarterly Journal of Mathematics, 2014 , 29(1) : 88 -96 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.01.011

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