DLMF:2.9.E2 (Q974): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11093 / rank
 
Normal rank
Property / Symbols used: Q11093 / qualifier
 
test:

f ( n ) 𝑓 𝑛 {\displaystyle{\displaystyle f(n)}}

f(n)
Property / Symbols used: Q11093 / qualifier
 
xml-id: C2.S9.XMD1.m1adec
Property / Symbols used
 
Property / Symbols used: Q11094 / rank
 
Normal rank
Property / Symbols used: Q11094 / qualifier
 
test:

g ( n ) 𝑔 𝑛 {\displaystyle{\displaystyle g(n)}}

g(n)
Property / Symbols used: Q11094 / qualifier
 
xml-id: C2.S9.XMD2.m1adec
Property / Symbols used
 
Property / Symbols used: Q11095 / rank
 
Normal rank
Property / Symbols used: Q11095 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11095 / qualifier
 
xml-id: C2.S9.XMD3.m1adec
Property / Symbols used
 
Property / Symbols used: Q11096 / rank
 
Normal rank
Property / Symbols used: Q11096 / qualifier
 
test:

w ( n ) 𝑤 𝑛 {\displaystyle{\displaystyle w(n)}}

w(n)
Property / Symbols used: Q11096 / qualifier
 
xml-id: C2.S9.XMD4.m1adec

Latest revision as of 16:31, 1 January 2020

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English
DLMF:2.9.E2
No description defined

    Statements

    Δ 2 w ( n ) + ( 2 + f ( n ) ) Δ w ( n ) + ( 1 + f ( n ) + g ( n ) ) w ( n ) = 0 , superscript forward-difference 2 𝑤 𝑛 2 𝑓 𝑛 forward-difference 𝑤 𝑛 1 𝑓 𝑛 𝑔 𝑛 𝑤 𝑛 0 {\displaystyle{\displaystyle\Delta^{2}w(n)+(2+f(n))\Delta w(n)+(1+f(n)+g(n))w(% n)=0,}}
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    n = 0 , 1 , 2 , 𝑛 0 1 2 {\displaystyle{\displaystyle n=0,1,2,\dots}}
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    Δ forward-difference {\displaystyle{\displaystyle\Delta}}
    C3.S6.SS1.p1.m2adec
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    f ( n ) 𝑓 𝑛 {\displaystyle{\displaystyle f(n)}}
    C2.S9.XMD1.m1adec
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    g ( n ) 𝑔 𝑛 {\displaystyle{\displaystyle g(n)}}
    C2.S9.XMD2.m1adec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C2.S9.XMD3.m1adec
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    w ( n ) 𝑤 𝑛 {\displaystyle{\displaystyle w(n)}}
    C2.S9.XMD4.m1adec
    0 references