Yamilet Quintana

Sep 20, 2024 | mdpi.com | Clemente Cesarano |Yamilet Quintana |William Ramirez

1. IntroductionThis monograph was brought about by the current operational methods involving exponential operators and the corresponding identities commonly used for the study of special functions and diverse classes of orthogonal polynomials, both in one and several variables.

Sep 14, 2023 | mdpi.com | Dionisio Peralta |Yamilet Quintana |Shahid Wani |Shahid Kamal Ahmad

4. ConclusionsIn the present paper, we introduced the mixed-type hypergeometric Bernoulli–Gegenbauer polynomials and analyzed some algebraic and differential properties of these polynomials, including their explicit expressions, derivative formulas, matrix representations, matrix-inversion formulas, and other relations connecting them with the hypergeometric Bernoulli polynomials.

Aug 8, 2023 | mdpi.com | Mohra Zayed |Shahid Wani |Yamilet Quintana |Shahid Kamal Ahmad

1. Introduction and PreliminariesA current field of study with practical applications involves investigating the convolution of multiple polynomials as a method for introducing innovative multivariate generalized polynomials. These polynomials hold immense importance due to their useful characteristics, which include recurring and explicit relations, functional and differential equations, summation formulae, symmetric and convolution identities, determinant forms, and more.