On the Hohlov convolution operator of the class \(S_p\) (Q2765967)
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scientific article; zbMATH DE number 1695240
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Hohlov convolution operator of the class \(S_p\) |
scientific article; zbMATH DE number 1695240 |
Statements
24 January 2002
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On the Hohlov convolution operator of the class \(S_p\) (English)
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Let \(F(a,b,c; z)\) denote the Gaussian hypergeometric function and \(*\) the usual Hadamard product. The authors study the acting of the operator \(I_{a,b,c}\) on the class of functions schlicht in the unit disc and some of its subclasses. Here, \(I_{a,b,c}\) is defined by \(I_{a,b,c}(f)(z)= zF(a,b,c; z)* f(z)\), where \(f\) is analytic in the unit disc.
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