DLMF:18.22.E17 (Q5887): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older edit
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
(One intermediate revision by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q11781 / rank
 
Normal rank
Property / Symbols used: Q11781 / qualifier
 
Defining formula:

A ⁢ ( x ) 𝐴 𝑥 {\displaystyle{\displaystyle A(x)}}

A(x)
Property / Symbols used: Q11781 / qualifier
 
xml-id: C18.S22.XMD14.m1dec
Property / Symbols used
 
Property / Symbols used: Q11782 / rank
 
Normal rank
Property / Symbols used: Q11782 / qualifier
 
Defining formula:

C ⁢ ( x ) 𝐶 𝑥 {\displaystyle{\displaystyle C(x)}}

C(x)
Property / Symbols used: Q11782 / qualifier
 
xml-id: C18.S22.XMD15.m1dec

Latest revision as of 01:36, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:18.22.E17
No description defined

    Statements

    Defining formula
    A ⁢ ( x ) ⁢ p n ⁢ ( x + i ) - ( A ⁢ ( x ) + C ⁢ ( x ) ) ⁢ p n ⁢ ( x ) + C ⁢ ( x ) ⁢ p n ⁢ ( x - i ) + 2 ⁢ n ⁢ sin ⁡ ϕ ⁢ p n ⁢ ( x ) = 0 , 𝐴 𝑥 subscript 𝑝 𝑛 𝑥 𝑖 𝐴 𝑥 𝐶 𝑥 subscript 𝑝 𝑛 𝑥 𝐶 𝑥 subscript 𝑝 𝑛 𝑥 𝑖 2 𝑛 italic-ϕ subscript 𝑝 𝑛 𝑥 0 {\displaystyle{\displaystyle A(x)p_{n}(x+i)-\left(A(x)+C(x)\right)p_{n}(x)+C(x% )p_{n}(x-i)+2n\sin\phi\,p_{n}(x)=0,}}
    0 references
    DLMF id
    DLMF:18.22.E17
    0 references
    Symbols used
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2addec
    0 references
    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2aadec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1pdec
    0 references
    Q11731
    Defining formula
    p n ⁢ ( x ) subscript 𝑝 𝑛 𝑥 {\displaystyle{\displaystyle p_{n}(x)}}
    xml-id
    C18.S1.XMD9.m1ldec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1pdec
    0 references
    Q11781
    Defining formula
    A ⁢ ( x ) 𝐴 𝑥 {\displaystyle{\displaystyle A(x)}}
    xml-id
    C18.S22.XMD14.m1dec
    0 references
    Q11782
    Defining formula
    C ⁢ ( x ) 𝐶 𝑥 {\displaystyle{\displaystyle C(x)}}
    xml-id
    C18.S22.XMD15.m1dec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5887&oldid=32983"