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On Certain Classes of -Valent Functions by Using Complex-Order and Differential Subordination

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  • Abdolreza Tehranchi
  • Adem Kılıçman

Abstract

The aim of the present paper is to study the -valent analytic functions in the unit disk and satisfy the differential subordinations where is an operator defined by S l gean and is a complex number. Further we define a new related integral operator and also study the Fekete-Szego problem by proving some interesting properties.

Suggested Citation

  • Abdolreza Tehranchi & Adem Kılıçman, 2010. "On Certain Classes of -Valent Functions by Using Complex-Order and Differential Subordination," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2010, pages 1-12, December.
    • Handle: RePEc:hin:jijmms:275935
    DOI: 10.1155/2010/275935
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