Multiplier family of harmonic univalent functions |
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Authors: | RA Al-Khal |
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Institution: | aDepartment of Mathematics, Faculty of Science, Girls College, P.O. Box 838, Dammam, Saudi Arabia |
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Abstract: | The aim of this paper is to study a multiplier family of harmonic univalent functions using the sequences {cn} and {dn} of positive real numbers. By specializing {cn} and {dn}, the generalized Bernardi–Libera–Livingston integral operator is modified for such functions and the closure of the multiplier family under the modified integral operator is determined. Also, convolution products, closure properties, distortion theorems, convex combinations and neighborhoods for such functions are given. |
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Keywords: | Harmonic functions Generalized Bernardi– Libera– Livingston integral operator Distortion theorems Closure properties Convolution Neighborhoods |
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