Güney, H. ÖzlemMurugusundaramoorthy, G.Vijaya, K.2023-04-052023-04-052021Güney, H.Ö., Murugusundaramoorthy, G. ve Vijaya, K. (2021). Subclasses of lambda-bi-pseudo-starlike functions with respect to symmetric points based on shell-like curves. Cubo-A Mathematical Journal, 23(2), 299-312.0716-77760719-0646https://www.scielo.cl/pdf/cubo/v23n2/0719-0646-cubo-23-02-299.pdfhttps://hdl.handle.net/11468/11618In this paper we define the subclass PSLs,Sigma lambda(alpha(p) over tilde (z)) of the class Sigma of bi-univalent functions defined in the unit disk, called lambda-bi-pseudo-starlike, with respect to symmetric points, related to shell-like curves connected with Fibonacci numbers. We determine the initial Taylor-Maclaurin coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar for functions f is an element of PSLs,Sigma lambda(alpha,(p) over tilde (z)). Further we determine the Fekete-Szego result for the function class PSLs,Sigma lambda(alpha,(p) over tilde (z)) and for the special cases alpha = 0, alpha = 1 and tau = -0.618 we state corollaries improving the initial Taylor-Maclaurin coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical barRESUMEN En este artículo definimos la subclase ... de la clase Σ de funciones bi-univalentes definidas en el disco unitario, llamadas λ -bi-pseudo-estrelladas, con respecto a puntos simétricos, relacionadas a curvas espirales en conexión con números de Fibonacci. Determinamos los coeficientes iniciales de Taylor-Maclaurin |a2| y |a3| para funciones f ∈ ....ℒλ 8, Σ(α,ࣤp(z)). Más aíun determinamos el resultado de Fekete-Szegö para la clase de funciones ∈ ....ℒλ 8, Σ(α,ࣤp(z)) y para los casos especiales α = 0, α = 1 y τ = -0:618 enunciamos corolarios mejorando los coeficientes iniciales de Taylor-Maclaurin |a2| y |a3|.eninfo:eu-repo/semantics/openAccessAnalytic functionsBi-univalentShell-like curveFibonacci numbersStarlike functionsArticle232299312WOS:0007884135000082-s2.0-8511450925910.4067/S0719-06462021000200299Q3N/A