Polynomial Bounds for a Class of Univalent Function Involving Sigmoid Function
Polynomial Bounds for a Class of Univalent Function Involving Sigmoid Function
Summary: In this work, a new subclass of univalent function was defined using the Sălăgean differential operator involving the modified sigmoid function and the Chebyshev polynomials. The coefficient bounds and the Fekete-Szego functional of this class were obtained using subordination principle. The results obtained agree and extend some earlier results.
- University of Ilorin Nigeria
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), sigmoid function, Coefficient problems for univalent and multivalent functions of one complex variable, Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination, Chebyshev polynomials, Sălăgean operator, analytic function
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), sigmoid function, Coefficient problems for univalent and multivalent functions of one complex variable, Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination, Chebyshev polynomials, Sălăgean operator, analytic function
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