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.
- Identity Function
- Identity Map
- Identity Matrix
- Identity Operator
- Idoneal Number
- Iff
- Ill-Conditioned
- Illumination Problem
- Illusion
- Image
- Imaginary Identity
- Imaginary Number
- Imaginary Part
- Imaginary Point
- Imaginary Quadratic Field
- Immanant
- Immersed Minimal Surface
- Immersion
- Impartial Game
- Implicit Function
- Implicit Function Theorem
- Implies
- Impossible Figure
- Impredicative
- Improper Integral