Certain New Applications of Symmetric q-Calculus for New Subclasses of Multivalent Functions Associated with the Cardioid Domain

Autor:	Hari M. Srivastava, Daniel Breaz, Shahid Khan, Fairouz Tchier
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	analytic functions symmetric quantum calculus multivalent functions symmetric q-difference operator cardioid domain multivalent q-starlike and q-convex functions Mathematics QA1-939
Zdroj:	Axioms, Vol 13, Iss 6, p 366 (2024)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms13060366
Popis:	In this work, we study some new applications of symmetric quantum calculus in the field of Geometric Function Theory. We use the cardioid domain and the symmetric quantum difference operator to generate new classes of multivalent q-starlike and q-convex functions. We examine a wide range of interesting properties for functions that can be classified into these newly defined classes, such as estimates for the bounds for the first two coefficients, Fekete–Szego-type functional and coefficient inequalities. All the results found in this research are sharp. A number of well-known corollaries are additionally taken into consideration to show how the findings of this research relate to those of earlier studies.
Databáze:	Directory of Open Access Journals
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