Coefficient Estimates of New Families of Analytic Functions Associated with q-Hermite Polynomials
Isra Al-Shbeil, Adriana Cătaş, H. M. Srivastava, Najla M. Aloraini
Abstract
In this paper, we introduce two new subclasses of bi-univalent functions using the q-Hermite polynomials. Furthermore, we establish the bounds of the initial coefficients υ2, υ3, and υ4 of the Taylor–Maclaurin series and that of the Fekete–Szegö functional associated with the new classes, and we give the many consequences of our findings.
Topics & Concepts
Hermite polynomialsTaylor seriesMathematicsPure mathematicsSeries (stratigraphy)Applied mathematicsAlgebra over a fieldMathematical analysisBiologyPaleontologyAnalytic and geometric function theoryPharmacological Effects of Medicinal Plants