Certain Constraints for Functions Provided by Touchard Polynomials

Tariq Al-Hawary, Mohamed Illafe and Feras Yousef

International Journal of Mathematics and Mathematical Sciences, 2025, vol. 2025, 1-8

Abstract: Since finding solutions to integral equations is usually challenging analytically, approximate methods are often required, one of which is based on Touchard polynomials. This paper examines the necessary constraints for the functions Ϝετς,Πε,τ,ς℠, and the integral operator Lετς, defined by Touchard polynomials, to be in the comprehensive subclass ∠ηq3,q2,q1,q0 of analytic functions. The originality and potential impact of this research may inspire future investigators to identify new sufficient constraints for functions in the subclass ∠ηq3,q2,q1,q0 across various special functions, particularly hypergeometric, Dini, and Sturve functions.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:2581058

DOI: 10.1155/ijmm/2581058

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