On certain subclasses of meromorphic functions with positive and fixed second coefficients involving the Liu-Srivastava linear operator (Q429086)
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scientific article; zbMATH DE number 6049789
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On certain subclasses of meromorphic functions with positive and fixed second coefficients involving the Liu-Srivastava linear operator |
scientific article; zbMATH DE number 6049789 |
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On certain subclasses of meromorphic functions with positive and fixed second coefficients involving the Liu-Srivastava linear operator (English)
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26 June 2012
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Summary: We introduce and study a subclass \(\Sigma_P(\gamma, k, \lambda, c)\) of meromorphic univalent functions defined by certain linear operator involving the generalized hypergeometric function. We obtain coefficient estimates, extreme points, growth and distortion inequalities, radii of meromorphic starlikeness, and convexity for the class \(\Sigma_P(\gamma, k, \lambda, c)\) by fixing the second coefficient. Further, it is shown that the class \(\Sigma_P(\gamma, k, \lambda)\) is closed under convex linear combination.
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