Convexity of Certain q-Integral Operators of p-Valent Functions

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Selvakumaran K. A., Purohit S. D., Seçer A., Bayram A.

ABSTRACT AND APPLIED ANALYSIS, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2014
  • Doi Number: 10.1155/2014/925902
  • Journal Name: ABSTRACT AND APPLIED ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Yıldız Technical University Affiliated: Yes

Abstract

By applying the concept (and theory) of fractional q-calculus, we first define and introduce two new q-integral operators for certain analytic functions defined in the unit disc u. Convexity properties of these q-integral operators on some classes of analytic functions defined by a linear multiplier fractional q-differintegral operator are studied. Special cases of the main results are also mentioned.