New Subclasses of Bi-Univalent Functions with Respect to the Symmetric Points Defined by Bernoulli Polynomials
Mucahit Buyankara, Murat Çağlar, Luminiţa-Ioana Cotîrlă
Abstract
In this paper, we introduce and investigate new subclasses of bi-univalent functions with respect to the symmetric points in U=z∈C:z<1 defined by Bernoulli polynomials. We obtain upper bounds for Taylor–Maclaurin coefficients a2,a3 and Fekete–Szegö inequalities a3−μa22 for these new subclasses.
Topics & Concepts
Bernoulli's principleMathematicsBernoulli polynomialsBernoulli numberTaylor seriesPure mathematicsBernoulli processCombinatoricsDiscrete mathematicsMathematical analysisOrthogonal polynomialsClassical orthogonal polynomialsPhysicsThermodynamicsAnalytic and geometric function theoryPharmacological Effects of Medicinal Plants