A study of sharp coefficient bounds for a new subfamily of starlike functions

DOI10.1186/s13660-021-02729-1zbMath1504.30015OpenAlexW4200086803MaRDI QIDQ2073002

Muhammad Arif, Ayesha Rafiq, Sama Arjika, Khalil Ullah, Hari M. Srivastava

Publication date: 26 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-021-02729-1

zbMATH Keywords

analytic functionsholomorphic functionsunivalent functionsstarlike functionsquantum calculusFekete-Szegő functionalcoefficient boundsSchwarz functionregular functionsprinciple of subordination\(\mathfrak{q}\)-calculusbasic calculushyperbolic and trigonometric functionstrivial \(\mathfrak{(p, q)}\)-variation of \(\mathfrak{q}\)-calculus

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) General theory of univalent and multivalent functions of one complex variable (30C55) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items

Starlikeness associated with tangent hyperbolic function, An exact estimate of the third Hankel determinants for functions inverse to convex functions, Starlike functions associated with \(\tanh z\) and Bernardi integral operator, Some sharp bounds of the third-order Hankel determinant for the inverses of the Ozaki type close-to-convex functions, The sharp upper bounds of the Hankel determinant on logarithmic coefficients for certain analytic functions connected with eight-shaped domains, The second Hankel determinant of logarithmic coefficients for starlike and convex functions involving four-leaf-shaped domain

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