2001/01/25 by V. V. Borzov, Vadim V. Borzov, Borzov, Vadim V.
Computer Science · Mathematics · #05E35 (Primary) 05E35 (Secondary) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Polynomial and algebraic computation #Quantum Algebra (math.QA) #math.CA #math.QA #msc:05E35
paper · pdf · doi:10.48550/arxiv.math/0101216
15 pages, no figures
arxiv created 2001/01/25 · openalex publication_date 2001/01/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The new method for obtaining a variety of extensions of Hermite polynomials is given. As a first example a family of orthogonal polynomial systems which includes the generalized Hermite polynomials is considered. Apparently, either these polynomials satisfy the differential equation of the second order obtained in this work or there is no differential equation of a finite order for these polynomials.