DLMF:18.22.E26 (Q5897): Difference between revisions

From DRMF
Jump to navigation Jump to search
‎Created a new Item: Wikidata Toolkit example test item creation
 
‎Changed an Item: Add constraint
 
(4 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q11565 / rank
 
Normal rank
Property / Symbols used: Q11565 / qualifier
 
Defining formula:

C n ⁡ ( x ; a ) Charlier-polynomial-C 𝑛 𝑥 𝑎 {\displaystyle{\displaystyle C_{\NVar{n}}\left(\NVar{x};\NVar{a}\right)}}

\CharlierpolyC{\NVar{n}}@{\NVar{x}}{\NVar{a}}
Property / Symbols used: Q11565 / qualifier
 
xml-id: C18.S19.T1.t1.r5.m2acdec
Property / Symbols used
 
Property / Symbols used: Q11764 / rank
 
Normal rank
Property / Symbols used: Q11764 / qualifier
 
Defining formula:

∇ x backward-difference 𝑥 {\displaystyle{\displaystyle\nabla_{\NVar{x}}}}

\bDiff[\NVar{x}]
Property / Symbols used: Q11764 / qualifier
 
xml-id: C18.S1.EGx2.m1acdec
Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
Defining formula:

! {\displaystyle{\displaystyle!}}

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5abdec
Property / Symbols used
 
Property / Symbols used: Q11726 / rank
 
Normal rank
Property / Symbols used: Q11726 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11726 / qualifier
 
xml-id: C18.S1.XMD6.m1xdec
Property / Symbols used
 
Property / Symbols used: Q11727 / rank
 
Normal rank
Property / Symbols used: Q11727 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11727 / qualifier
 
xml-id: C18.S2.XMD3.m1ydec

Latest revision as of 01:37, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:18.22.E26
No description defined

    Statements

    Defining formula
    ∇ x ( a x x ! ⁢ C n ⁡ ( x ; a ) ) = a x x ! ⁢ C n + 1 ⁡ ( x ; a ) . backward-difference 𝑥 superscript 𝑎 𝑥 𝑥 Charlier-polynomial-C 𝑛 𝑥 𝑎 superscript 𝑎 𝑥 𝑥 Charlier-polynomial-C 𝑛 1 𝑥 𝑎 {\displaystyle{\displaystyle\nabla_{x}\left(\frac{a^{x}}{x!}C_{n}\left(x;a% \right)\right)=\frac{a^{x}}{x!}C_{n+1}\left(x;a\right).}}
    0 references
    DLMF id
    DLMF:18.22.E26
    0 references
    Symbols used
    Q11565
    Defining formula
    C n ⁡ ( x ; a ) Charlier-polynomial-C 𝑛 𝑥 𝑎 {\displaystyle{\displaystyle C_{\NVar{n}}\left(\NVar{x};\NVar{a}\right)}}
    xml-id
    C18.S19.T1.t1.r5.m2acdec
    0 references
    Q11764
    Defining formula
    ∇ x backward-difference 𝑥 {\displaystyle{\displaystyle\nabla_{\NVar{x}}}}
    xml-id
    C18.S1.EGx2.m1acdec
    0 references
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5abdec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1xdec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1ydec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5897&oldid=33198"