Does anyone know how to prove the following identity:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\Sigma_{k=0}^{n}\left(\stackrel{n}{k}\right) H_{k}(x)H_{n-k}(y)=2^{n/2}H_{n}(2^{-1/2}(x+y))[/tex]

where [tex]H_{i}(z)[/tex]represents the Hermite polynomial?

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Hermite Polynomial identity

Loading...

Similar Threads - Hermite Polynomial identity | Date |
---|---|

A Integral involving Hermite polynomials | Feb 18, 2017 |

Special Integrals Hermite(2n+1,x)*Cos (bx) and e^(-x^2/2) | May 31, 2015 |

Integral involving Hermite polynomials | Jan 5, 2009 |

Hermite polynomials | Aug 31, 2008 |

Hermite Polynomials. | May 17, 2008 |

**Physics Forums - The Fusion of Science and Community**