Methods reveal orthogonal properties of Hermite polynomials in real variables, highlighting their applications.
In this paper I discuss the methods for finding Hermite polynomials of one and more real variables. I also discuss the orthogonal characteristics Hermite polynomials of one and more real variables and prove the orthogonal properties of modified Hermite polynomials for several real variables.
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Anil Kumar (2025) studied this question.
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