Formula:6595

Digital Library of Mathematical Functions ID 18.22.E28

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \cDiff[x]\left(w(x;a+\tfrac{1}{2},b+\tfrac{1}{2},\conj{a}+\tfrac{1}{2},\conj{b}+\tfrac{1}{2})p_{n}(x;a+\tfrac{1}{2},b+\tfrac{1}{2},\conj{a}+\tfrac{1}{2},\conj{b}+\tfrac{1}{2})\right)=-(n+1)w(x;a,b,\conj{a},\conj{b})p_{n+1}(x;a,b,\conj{a},\conj{b}).}

Symbols List

• ${\displaystyle{\displaystyle\delta_{\NVar{x}}}}$: central difference
• ${\displaystyle{\displaystyle\overline{\NVar{z}}}}$: complex conjugate
• ${\displaystyle{\displaystyle w(x)}}$: weight function
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle p_{n}(x)}}$: polynomial of degree n
• ${\displaystyle{\displaystyle x}}$: real variable
 

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