BASIC APPLICATIONS OF THE q-DERIVATIVE FOR A GENERAL SUBFAMILY OF ANALYTIC FUNCTIONS SUBORDINATE TO k-JACOBSTHAL NUMBERS

DOI10.22190/FUMI211201022AOpenAlexW4312355801MaRDI QIDQ5868305

Yeliz Kara, Şahsene Altınkaya, Yeşim Sağlam Özkan

Publication date: 20 September 2022

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22190/fumi211201022a

zbMATH Keywords

generating functionsstarlike functionsfractional \(q\)-calculus operatorssubordination \(\cdot\) \(k\)-Jacobsthal numbers

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• A proof of the Bieberbach conjecture
• On some identities for k-Jacobsthal numbers
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