Explicit Identities for 3-Variable Degenerate Hermite Kampé de Fériet Polynomials and Differential Equation Derived from Generating Function
Kyung-Won Hwang, Youngsoo Seol, Cheon-Seoung Ryoo
Abstract
We get the 3-variable degenerate Hermite Kampé de Fériet polynomials and get symmetric identities for 3-variable degenerate Hermite Kampé de Fériet polynomials. We make differential equations coming from the generating functions of degenerate Hermite Kampé de Fériet polynomials to get some identities for 3-variable degenerate Hermite Kampé de Fériet polynomials,. Finally, we study the structure and symmetry of pattern about the zeros of the 3-variable degenerate Hermite Kampé de Fériet equations.
Topics & Concepts
Hermite polynomialsDegenerate energy levelsVariable (mathematics)Pure mathematicsMathematicsFunction (biology)Differential equationMathematical analysisPhysicsQuantum mechanicsEvolutionary biologyBiologyNonlinear Waves and SolitonsFractional Differential Equations SolutionsAdvanced Differential Equations and Dynamical Systems