Upper bound of the third Hankel determinant for a subclass of q-Starlike functions associated with the lemniscate of Bernoulli

DOI10.7153/jmi-2020-14-05zbMath1439.30028OpenAlexW3010721496MaRDI QIDQ5109747

Darus, Maslina, Nazar Khan, Qazi Zahoor Ahmad, Bilal Khan, Muhammad Arsalan Shafiq

Publication date: 13 May 2020

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2020-14-05

zbMATH Keywords

\(q\)-derivativeHankel determinantstar-like functionsclass of analytic functions in disk

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (4)

A certain \(q\)-Ruscheweyh type derivative operator and its applications involving multivalent functions ⋮ q-Meromorphic closed-to-convex functions related with Janowski function ⋮ Unnamed Item ⋮ Sufficiency criteria for \(q\)-starlike functions associated with cardioid

Cites Work

• Differential subordination for functions associated with the lemniscate of Bernoulli
• Second Hankel determinant for a class of analytic functions defined by fractional derivative
• Differential subordinations and univalent functions
• Some subordination results on \(q\)-analogue of Ruscheweyh differential operator
• Certain properties of \(q\)-hypergeometric functions
• Coefficient inequalities for \(q\)-starlike functions associated with the Janowski functions
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• The second Hankel determinant for a certain class of bi-close-to-convex functions
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• Coefficient Estimates in a Class of Strongly Starlike Functions
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• Early Coefficients of the Inverse of a Regular Convex Function
• Coefficient Bounds for the Inverse of a Function with Derivative in P
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