On new subclasses of analytic functions involving generalized differential and integral operators

Authors

  • Maslina Darus
  • Rabha W. Ibrahim ukm

Keywords:

Hadamard product, Integral operator, Differential operator, Sˇalˇagean operator

Abstract

We define a generalized differential and integral operators on the class A of
analytic functions f(z) = z +P1n=2anzn in the unit disk U:= {z2C:|z| <1} involving k−th Hadamard product (convolution) as follows Dk,f(z) = z +1X n=2 [(n − 1)( − ) + n]kanzn, (z 2 U). These operators are generalized for some of well known operators for example Sˇalˇagean operator. New classes containing these operators are investigated. Characterization and other properties of these classes are studied.

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Published

2011-01-30

Issue

Vol. 4 No. 1: (January 2011)

Section

Wave Theory

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How to Cite

On new subclasses of analytic functions involving generalized differential and integral operators. (2011). European Journal of Pure and Applied Mathematics, 4(1), 59-66. https://www.ejpam.com/index.php/ejpam/article/view/744