On the harmonic starlike functions with respect to symmetric, conjugate and symmetric conjugate points

  • Zhi-Hong Liu
  • Yong Sun
  • Zhi-Gang Wang

Abstract

In the present paper, we introduce the notions of functions harmonic starlike with respect to symmetric, conjugate and symmetric conjugate points. Such results as coefficient inequalities and structural formulae for these function classes are proved.

Keywords: Harmonic functions, harmonic starlike functions, symmetric points, conjugate points, symmetric conjugate points

Quaestiones Mathematicae 37(2014), 79–90

Author Biographies

Zhi-Hong Liu
College of Mathematics, Honghe University, Mengzi 661100, Yunnan, P.R. China
Yong Sun
School of Mathematics and Econometrics, Hunan University, Changsha 410082, Hunan, P.R. China
Zhi-Gang Wang
School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, Henan, P.R. China
Published
2014-03-13
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606