drmf-kls9.ocd

Symbols in KLS Chapter 9

Section 9.1 Wilson

normWilsonWtilde

$${\displaystyle{\tilde{W}}_{n}\!\left(x^{2};a,b,c,d\right):=\frac{W_{n}\!\left(x^{2};a,b,c,d\right)}{{\left(a+b\right)_{n}}{\left(a+c\right)_{n}}{\left(a+d\right)_{n}}}}$$

monicWilson

$$W_{n}\!\left(x^{2};a,b,c,d\right)=:(-1)^{n}{\left(n+a+b+c+d-1\right)_{n}}{\widehat{W}}_{n}\!\left(x^{2}\right).$$

Section 9.2 Racah

monicRacah

$$R_{n}\!\left(\lambda(x);\alpha,\beta,\gamma,\delta\right)=:\frac{{\left(n+\alpha+\beta+1\right)_{n}}}{{\left(\alpha+1\right)_{n}}{\left(\beta+\delta+1\right)_{n}}{\left(\gamma+1\right)_{n}}}{\widehat{R}}_{n}\!\left(\lambda(x)\right)$$