DLMF:18.22.E28 (Q5899)

From DRMF
Revision as of 01:38, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:18.22.E28
No description defined

    Statements

    Defining formula
    δ x ( w ⁢ ( x ; a + 1 2 , b + 1 2 , a ¯ + 1 2 , b ¯ + 1 2 ) ⁢ p n ⁢ ( x ; a + 1 2 , b + 1 2 , a ¯ + 1 2 , b ¯ + 1 2 ) ) = - ( n + 1 ) ⁢ w ⁢ ( x ; a , b , a ¯ , b ¯ ) ⁢ p n + 1 ⁢ ( x ; a , b , a ¯ , b ¯ ) . central-difference 𝑥 𝑤 𝑥 𝑎 1 2 𝑏 1 2 𝑎 1 2 𝑏 1 2 subscript 𝑝 𝑛 𝑥 𝑎 1 2 𝑏 1 2 𝑎 1 2 𝑏 1 2 𝑛 1 𝑤 𝑥 𝑎 𝑏 𝑎 𝑏 subscript 𝑝 𝑛 1 𝑥 𝑎 𝑏 𝑎 𝑏 {\displaystyle{\displaystyle\delta_{x}\left(w(x;a+\tfrac{1}{2},b+\tfrac{1}{2},% \overline{a}+\tfrac{1}{2},\overline{b}+\tfrac{1}{2})p_{n}(x;a+\tfrac{1}{2},b+% \tfrac{1}{2},\overline{a}+\tfrac{1}{2},\overline{b}+\tfrac{1}{2})\right)=-(n+1% )w(x;a,b,\overline{a},\overline{b})p_{n+1}(x;a,b,\overline{a},\overline{b}).}}
    0 references
    DLMF id
    DLMF:18.22.E28
    0 references
    Symbols used
    Q11767
    Defining formula
    δ x central-difference 𝑥 {\displaystyle{\displaystyle\delta_{\NVar{x}}}}
    xml-id
    C18.S1.EGx3.m1aadec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5899&oldid=33234"