查理耶多项式(Charlier polynomials)是一个以瑞典天文学家Carl Charlier命名的正交多项式,由下列拉盖尔多项式定义[1]
Charlie polynomial
Charlie polynomial
![{\displaystyle \sum _{x=0}^{\infty }{\frac {\mu ^{x}}{x!}}C_{n}(x;\mu )C_{m}(x;\mu )=\mu ^{-n}e^{\mu }n!\delta _{nm},\quad \mu >0.}](https://amansaja.com/index.php?q=Mfv0Kfa6bO93MqTXLqrCMqiSL3dZb2hQMu9Onpz0p3oPb21BngBFb21FJgGRKArSngrOb3z2nO9FotnCaDa4nqzFaDmQzAw3nthAnDJBntlAatsNztrEzAiQoNK5aNw2)
前几个查理耶多项式为
- ^ Szegő, Gabor (1939), Orthogonal Polynomials, Colloquium Publications – American Mathematical Society, ISBN 978-0-8218-1023-1, MR 0372517