Chinese Quarterly Journal of Mathematics ›› 2014, Vol. 29 ›› Issue (1): 88-96.doi: 10.13371/j.cnki.chin.q.j.m.2014.01.011

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

  

  1. School of Mathematics and Statistics, Chifeng University
  • Received:2013-01-21 Online:2014-03-30 Published:2023-02-13
  • About author: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.
  • Supported by:
    Supported by the Natural Science Foundation of Inner Mongolia(2009MS0113);Supported by the Higher School Research Foundation of Inner Mongolia(NJzy08150)

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

CLC Number: