Identities involving 3-variable Hermite polynomials arising from umbral method
Nusrat Raza, Umme Zainab, Serkan Aracı, Ayhan Eşi
Abstract
Abstract In this paper, we employ an umbral method to reformulate the 3-variable Hermite polynomials and introduce the 4-parameter 3-variable Hermite polynomials. We also obtain some new properties for these polynomials. Moreover, some special cases are discussed and some concluding remarks are also given.
Topics & Concepts
Hermite polynomialsMathematicsVariable (mathematics)Classical orthogonal polynomialsDiscrete orthogonal polynomialsDifference polynomialsOrthogonal polynomialsWilson polynomialsPure mathematicsAlgebra over a fieldPartial differential equationOrdinary differential equationHahn polynomialsApplied mathematicsGegenbauer polynomialsMathematical analysisDifferential equationNonlinear Waves and SolitonsFractional Differential Equations SolutionsQuantum chaos and dynamical systems