DLMF:16.8.E5 (Q5223): Difference between revisions

From DRMF
Jump to navigation Jump to search
Changed an Item: Add constraint
Changed an Item: Add constraint
 
(4 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q11692 / rank
 
Normal rank
Property / Symbols used: Q11692 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11692 / qualifier
 
xml-id: C16.S1.XMD3.m1ddec
Property / Symbols used
 
Property / Symbols used: Q11703 / rank
 
Normal rank
Property / Symbols used: Q11703 / qualifier
 
Defining formula:

D 𝐷 {\displaystyle{\displaystyle D}}

D
Property / Symbols used: Q11703 / qualifier
 
xml-id: C16.S8.XMD2.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11702 / rank
 
Normal rank
Property / Symbols used: Q11702 / qualifier
 
Defining formula:

w 𝑤 {\displaystyle{\displaystyle w}}

w
Property / Symbols used: Q11702 / qualifier
 
xml-id: C16.S8.XMD4.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11704 / rank
 
Normal rank
Property / Symbols used: Q11704 / qualifier
 
Defining formula:

α j subscript 𝛼 𝑗 {\displaystyle{\displaystyle\alpha_{j}}}

\alpha_{j}
Property / Symbols used: Q11704 / qualifier
 
xml-id: C16.S8.XMD5.m1adec
Property / Symbols used
 
Property / Symbols used: Q11705 / rank
 
Normal rank
Property / Symbols used: Q11705 / qualifier
 
Defining formula:

β j subscript 𝛽 𝑗 {\displaystyle{\displaystyle\beta_{j}}}

\beta_{j}
Property / Symbols used: Q11705 / qualifier
 
xml-id: C16.S8.XMD6.m1adec

Latest revision as of 14:35, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:16.8.E5
No description defined

    Statements

    z q ( 1 - z ) D q + 1 w + j = 1 q z j - 1 ( α j z + β j ) D j w + α 0 w = 0 , superscript 𝑧 𝑞 1 𝑧 superscript 𝐷 𝑞 1 𝑤 superscript subscript 𝑗 1 𝑞 superscript 𝑧 𝑗 1 subscript 𝛼 𝑗 𝑧 subscript 𝛽 𝑗 superscript 𝐷 𝑗 𝑤 subscript 𝛼 0 𝑤 0 {\displaystyle{\displaystyle z^{q}(1-z)D^{q+1}w+\sum_{j=1}^{q}z^{j-1}(\alpha_{% j}z+\beta_{j})D^{j}w+\alpha_{0}w=0,}}
    0 references
    DLMF:16.8.E5
    0 references
    Warning: Falling back to standard tex;
    0 references
    p = q + 1 𝑝 𝑞 1 {\displaystyle{\displaystyle p=q+1}}
    0 references
    p 𝑝 {\displaystyle{\displaystyle p}}
    C16.S1.XMD1.m1bdec
    0 references
    q 𝑞 {\displaystyle{\displaystyle q}}
    C16.S1.XMD2.m1bdec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C16.S1.XMD3.m1ddec
    0 references
    D 𝐷 {\displaystyle{\displaystyle D}}
    C16.S8.XMD2.m1bdec
    0 references
    w 𝑤 {\displaystyle{\displaystyle w}}
    C16.S8.XMD4.m1bdec
    0 references
    α j subscript 𝛼 𝑗 {\displaystyle{\displaystyle\alpha_{j}}}
    C16.S8.XMD5.m1adec
    0 references
    β j subscript 𝛽 𝑗 {\displaystyle{\displaystyle\beta_{j}}}
    C16.S8.XMD6.m1adec
    0 references