An application of modified sigmoid function to a class of $q-$ starlike and $q-$ convex analytic error functions

DOI10.55730/1300-0098.3162zbMath1495.30002OpenAlexW4285249011MaRDI QIDQ5102186

Arzu Akgül

Publication date: 6 September 2022

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.55730/1300-0098.3162

zbMATH Keywords

subordinationconvolutionanalytic functionunivalent functionmodified sigmoid function\(q\)-convex error function\(q\)-starlike error function

Mathematics Subject Classification ID

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) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Cites Work

• The zeros of the complementary error function
• Error function inequalities
• Generalized distribution for analytic function classes associated with error functions and Bell numbers
• The inverse of the error function
• Certain results on q-starlike and q-convex error functions
• Warped product spaces with Ricci conditions
• The Fekete-Szegö inequality for subclasses of analytic functions related to modified Sigmoid functions
• An extension of q-starlike and q-convex error functions endowed with the trigonometric polynomials
• A Coefficient Inequality for Certain Classes of Analytic Functions
• Quantum calculus
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