Symmetry (Mar 2024)
On <i>q</i>-Hermite Polynomials with Three Variables: Recurrence Relations, <i>q</i>-Differential Equations, Summation and Operational Formulas
Abstract
In the present study, we use several identities from the q-calculus to define the concept of q-Hermite polynomials with three variables and present their associated formalism. Many properties and new results of q-Hermite polynomials of three variables are established, including their generation function, series description, summation equations, recurrence relationships, q-differential formula and operational rules.
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