DLMF:2.8.E13 (Q947): Difference between revisions

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imported>Admin
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imported>Admin
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Property / constraint
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s = 0 , 1 , 2 , … 𝑠 0 1 2 … {\displaystyle{\displaystyle s=0,1,2,\dots}}

s=0,1,2,\dots
Property / constraint: s = 0 , 1 , 2 , … 𝑠 0 1 2 … {\displaystyle{\displaystyle s=0,1,2,\dots}} / rank
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Normal rank
Property / Symbols used
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Property / Symbols used: Q10770 / rank
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Normal rank
Property / Symbols used: Q10770 / qualifier
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test:

d x π‘₯ {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
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xml-id: C1.S4.SS4.m1acdec
Property / Symbols used
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Property / Symbols used: Q10771 / rank
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Normal rank
Property / Symbols used: Q10771 / qualifier
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test:

∫ {\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
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xml-id: C1.S4.SS4.m3acdec
Property / Symbols used
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Property / Symbols used: Q11075 / rank
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Normal rank
Property / Symbols used: Q11075 / qualifier
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test:

A s ⁒ ( ΞΎ ) subscript 𝐴 𝑠 πœ‰ {\displaystyle{\displaystyle A_{s}(\xi)}}

A_{s}(\xi)
Property / Symbols used: Q11075 / qualifier
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xml-id: C2.S8.XMD12.m1bdec
Property / Symbols used
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Property / Symbols used: Q11071 / rank
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Normal rank
Property / Symbols used: Q11071 / qualifier
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test:

ψ ⁒ ( ΞΎ ) πœ“ πœ‰ {\displaystyle{\displaystyle\psi(\xi)}}

\psi(\xi)
Property / Symbols used: Q11071 / qualifier
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xml-id: C2.S8.XMD7.m1ddec

Latest revision as of 16:26, 1 January 2020

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DLMF:2.8.E13
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    Statements

    A s + 1 ⁒ ( ΞΎ ) = - 1 2 ⁒ A s β€² ⁒ ( ΞΎ ) + 1 2 ⁒ ∫ ψ ⁒ ( ΞΎ ) ⁒ A s ⁒ ( ΞΎ ) ⁒ d ΞΎ , subscript 𝐴 𝑠 1 πœ‰ 1 2 superscript subscript 𝐴 𝑠 β€² πœ‰ 1 2 πœ“ πœ‰ subscript 𝐴 𝑠 πœ‰ πœ‰ {\displaystyle{\displaystyle A_{s+1}(\xi)=-\tfrac{1}{2}A_{s}^{\prime}(\xi)+% \tfrac{1}{2}\int\psi(\xi)A_{s}(\xi)\mathrm{d}\xi,}}
    0 references
    0 references
    s = 0 , 1 , 2 , … 𝑠 0 1 2 … {\displaystyle{\displaystyle s=0,1,2,\dots}}
    0 references
    d x π‘₯ {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1acdec
    0 references
    ∫ {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3acdec
    0 references
    A s ⁒ ( ΞΎ ) subscript 𝐴 𝑠 πœ‰ {\displaystyle{\displaystyle A_{s}(\xi)}}
    C2.S8.XMD12.m1bdec
    0 references
    ψ ⁒ ( ΞΎ ) πœ“ πœ‰ {\displaystyle{\displaystyle\psi(\xi)}}
    C2.S8.XMD7.m1ddec
    0 references