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New classification of analytic functions with negative coefficients

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  • Shigeyoshi Owa
  • Milutin Obradovic

Abstract

New classification of analytic functions with negative coefficients is given by using the coefficients inequality, that is, new subclass A ( p , n , B k ) of analytic functions with negative coefficient is defined. The object of the present paper is to prove various distortion theorems for functions in A ( p , n , B k ) , and for fractional calculus of functions belonging to A ( p , n , B k ) . Further, some properties of the class A ( p , n , B k ) are shown.

Suggested Citation

  • Shigeyoshi Owa & Milutin Obradovic, 1988. "New classification of analytic functions with negative coefficients," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 11, pages 1-15, January.
    • Handle: RePEc:hin:jijmms:189098
    DOI: 10.1155/S0161171288000109
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