In this paper, we define the three parametric types of Apostol-type unified BernoulliEuler 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.
On certain properties of three parametric kinds of Apostol-type unified Bernoulli-Euler polynomials
Clemente Cesarano;
2025-01-01
Abstract
In this paper, we define the three parametric types of Apostol-type unified BernoulliEuler 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.File in questo prodotto:
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