A Generalization of Gegenbauer Polynomials and Bi-Univalent Functions
Ala Amourah, Abdullah Alsoboh, Osama Ogilat, Gharib Mousa Gharib, Rania Saadeh, Maha Al Soudi
Abstract
Three subclasses of analytic and bi-univalent functions are introduced through the use of q−Gegenbauer polynomials, which are a generalization of Gegenbauer polynomials. For functions falling within these subclasses, coefficient bounds a2 and a3 as well as Fekete–Szegö inequalities are derived. Specializing the parameters used in our main results leads to a number of new results.
Topics & Concepts
Gegenbauer polynomialsGeneralizationMathematicsClassical orthogonal polynomialsOrthogonal polynomialsPure mathematicsDifference polynomialsDiscrete orthogonal polynomialsWilson polynomialsJacobi polynomialsHahn polynomialsAlgebra over a fieldMathematical analysisAnalytic and geometric function theoryMathematical functions and polynomialsMathematical Inequalities and Applications