12

Number of cited
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.

  • Kapsamı

    Uluslararası

  • Type

    Hakemli

  • Index info

    WOS.SCI

  • Language

    English

  • Article Type

    None

  • Keywords

    unified Bernoulli-Euler polynomials Apostol-type polynomials partial derivatives functions