Certain Properties on Meromorphic Functions Defined by a New Linear Operator Involving the Mittag-Leffler Function
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Authors: A. K. AL-KHAFAJI AND A. K. WANAS
DOI: 10.46793/KgJMat2403.473AK
Abstract:
Our paper introduces a new linear operator using the convolution between a Mittag–Leffler Function and basic hypergeometric function. Use of the linear operator creates a new class of meromorphic functions defined in the punctured open unit disk. Consequently, the paper examines different aspects Apps and assets like, extreme points, coefficient inequality, growth and distortion. In conclusion, the work discusses modified Hadamard product and closure theorems.
Keywords:
Linear operator, basic hypergeometric function, meromorphic function, Mittag–Leffler function, coefficient inequality, convex linear combination, growth and distortion theorem, extreme points, Hadamard product.
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