Applications Laguerre Polynomials for Families of Bi-Univalent Functions Defined with (p,q)-Wanas Operator

In current manuscript, using Laguerre polynomials and (p−q)-Wanas operator, we identify upper bounds a2 and a3 which are first two Taylor-Maclaurin coefficients for a specific bi-univalent functions classes W∑(η,δ,λ,σ,θ,α,β,p,q;h) and K∑(ξ,ρ,σ,θ,α,β,p,q;h) which cover the convex and starlike functio...

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Veröffentlicht in:Axioms 2023-04, Vol.12 (5), p.430
Hauptverfasser: Wanas, Abbas Kareem, Sakar, Fethiye Müge, Alb Lupaş, Alina
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Sprache:eng
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Zusammenfassung:In current manuscript, using Laguerre polynomials and (p−q)-Wanas operator, we identify upper bounds a2 and a3 which are first two Taylor-Maclaurin coefficients for a specific bi-univalent functions classes W∑(η,δ,λ,σ,θ,α,β,p,q;h) and K∑(ξ,ρ,σ,θ,α,β,p,q;h) which cover the convex and starlike functions. Also, we discuss Fekete-Szegö type inequality for defined class.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms12050430