Formula:6541

Digital Library of Mathematical Functions ID 18.20.E3

${\displaystyle{\displaystyle w(x;a,b,\overline{a},\overline{b})p_{n}\left(x;a,b,\overline{a},\overline{b}\right)=\frac{1}{n!}\delta_{x}^{n}\left(w(x;a+\tfrac{1}{2}n,b+\tfrac{1}{2}n,\overline{a}+\tfrac{1}{2}n,\overline{b}+\tfrac{1}{2}n)\right).}}$

Symbols List

• ${\displaystyle{\displaystyle\delta_{\NVar{x}}}}$: central difference
• ${\displaystyle{\displaystyle\overline{\NVar{z}}}}$: complex conjugate
• ${\displaystyle{\displaystyle p_{\NVar{n}}\left(\NVar{x};\NVar{a},\NVar{b},\NVar{\overline{a}},\NVar{missing}\right)\)\@add@PDF@RDFa@triples\end{document}}}$: continuous Hahn polynomial
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle x}}$: real variable
 

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