4.4 Article

MAJORIZATION PROPERTIES FOR A NEW SUBCLASS OF θ-SPIRAL FUNCTIONS OF ORDER γ

Journal

MATHEMATICA SLOVACA
Volume 64, Issue 1, Pages 39-50

Publisher

WALTER DE GRUYTER GMBH
DOI: 10.2478/s12175-013-0185-3

Keywords

analytic functions; multivalent functions; theta-spiral functions; majorization property; multiplier transformation

Categories

Funding

  1. Natural Science Foundation of China [11271045]
  2. Higher School Doctoral Foundation of China [20100003110004]
  3. Natural Science Foundation of Inner Mongolia [2010MS0117]
  4. Higher School Foundation of Inner Mongolia [NJZY13298]

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In the present paper, we introduce a new subclass S-p,q,s,lambda(m,l) (gamma,theta) of theta-spiral functions of order. defined by a class of generalized multiplier transformations. Majorization properties for functions belonging to the class S-p,q,s,lambda(m,l) (gamma,theta) are considered. Moreover, we point out some new or known consequences of our main result. (C) 2014 Mathematical Institute Slovak Academy of Sciences

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