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Some subclasses of analytic functions involving the generalized Noor integral operator

Authors
Journal
Journal of Mathematical Analysis and Applications
0022-247X
Publisher
Elsevier
Publication Date
Volume
323
Issue
1
Identifiers
DOI: 10.1016/j.jmaa.2005.10.020
Keywords
  • Hadamard Product
  • Subordination
  • Ruscheweyh Derivative
  • Noor Integral Operator

Abstract

Abstract In this paper, we define the generalized Noor integral operator I p , n λ ( a , b ; c ) by using convolution. By applying this operator, we introduce some subclasses K p , n λ ( a + 1 , b ; c ; θ ; A , B ) , KK p , n λ ( a , b ; c ; θ ; A , B ) and S p , n λ ( a , b , c ; β ; A , B ) of analytic functions and study their subordinate relations, inclusion relations, the integral operator, the sufficient conditions for a function to be in the class S p , n λ ( a , b , c ; β ) and the radius problems.

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