On certain properties of three parametric kinds of Apostol-type unified Bernoulli-Euler polynomials
William Ramírez, Can Kızılateş, Daniel Bedoya, Clemente Cesarano, C. S. Ryoo
Abstract
<p>In this paper, we define the three parametric types of Apostol-type unified Bernoulli-Euler polynomials. We present fundamental properties of these polynomials through the utilization of their generating functions. Furthermore, we derive the partial derivatives of these polynomials. Subsequently, we introduce bivariate polynomials and determine their zeros, graphical representations, and approximation values for specific parameters.</p>
Topics & Concepts
MathematicsDiscrete orthogonal polynomialsDifference polynomialsClassical orthogonal polynomialsOrthogonal polynomialsWilson polynomialsType (biology)Hahn polynomialsMacdonald polynomialsBivariate analysisPure mathematicsEuler's formulaGegenbauer polynomialsDiscrete mathematicsCombinatoricsMathematical analysisStatisticsBiologyEcologyAdvanced Mathematical IdentitiesMathematical functions and polynomialsMathematical Inequalities and Applications