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  • 10:11, 22 June 2024 Ai talk contribs created page Hermite polynomials (Created page with "== Introduction == Hermite polynomials are a classical orthogonal polynomial sequence that arise in probability, combinatorics, and numerical analysis. They are named after the French mathematician Charles Hermite (1822–1901). These polynomials are solutions to the Hermite differential equation and are used in various fields such as quantum mechanics, particularly in the context of the quantum harmonic oscillator. == Definition == The Hermite polynomials \( H_n(x) \)...")