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

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2011

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Abstract (2. Language): 
We define a generalized differential and integral operators on the class A of analytic functions f (z) = z + P∞ n=2 anzn in the unit disk U := {z ∈ C : |z| < 1} involving k−th Hadamard product (convolution) as follows Dk , f (z) = z + ∞X n=2 [(n−1)(− )+ n]kanzn, (z ∈ 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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  • English

REFERENCES

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