SUBCLASSES OF MULTIVALENT FUNCTIONS OF COMPLEX ORDER ASSOCIATED WITH SIGMOID FUNCTION AND BERNOULLI LEMNISCATE

SUBCLASSES OF MULTIVALENT FUNCTIONS OF COMPLEX ORDER ASSOCIATED WITH SIGMOID FUNCTION AND BERNOULLI LEMNISCATE

In this present work, subclasses of multivalent functions of complex order associated with simple logistic sigmoid activation function and Bernoulli Lemniscate were investigated. Early few coefficient bounds, relevant connection to Fekete-Szego inequalities and second Hankel determinant for the two...

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Veröffentlicht in:TWMS journal of applied and engineering mathematics 2020-04, Vol.10 (2), p.360
Hauptverfasser: Olatunji, S.O, Dutta, H
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Differential equations
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Zusammenfassung:In this present work, subclasses of multivalent functions of complex order associated with simple logistic sigmoid activation function and Bernoulli Lemniscate were investigated. Early few coefficient bounds, relevant connection to Fekete-Szego inequalities and second Hankel determinant for the two classes [M.sub.L](P, [lambda], b, [[PHI].sub.m,n]) and [g.sub.L](p, [lambda], b, [[PHI].sub.m,n]) were obtained. Our results are new in this direction and give birth to many corollaries. Keywords: Analytic function, Univalent function, Subordination, Coefficient bounds, Fekete-Szego Inequality, Hankel determinant, Sigmoid function, Bernoulli Lemniscate. AMS Subject Classification: 30C45, 30C50
ISSN:2146-1147