“Mehler's Hermite Polynomial Formula”的概念、定义、习题解题方法及翻译-数学辞典

单词

Mehler's Hermite Polynomial Formula

释义

Mehler's Hermite Polynomial Formula

where

is a Hermite Polynomial.

References

Almqvist, G. and Zeilberger, D. ``The Method of Differentiating Under the Integral Sign.'' J. Symb. Comput. 10, 571-591, 1990.

Foata, D. ``A Combinatorial Proof of the Mehler Formula.'' J. Comb. Th. Ser. A 24, 250-259, 1978.

Petkovsek, M.; Wilf, H. S.; and Zeilberger, D. A=B. Wellesley, MA: A. K. Peters, pp. 194-195, 1996.

Rainville, E. D. Special Functions. New York: Chelsea, p. 198, 1971.

Szegö, G. Orthogonal Polynomials, 4th ed. Providence, RI: Amer. Math. Soc., p. 380, 1975.

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