DLMF:14.7.E18 (Q4770): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11593 / rank
 
Normal rank
Property / Symbols used: Q11593 / qualifier
 
Defining formula:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q11593 / qualifier
 
xml-id: C14.S1.XMD5.m1idec
Property / Symbols used
 
Property / Symbols used: Q11602 / rank
 
Normal rank
Property / Symbols used: Q11602 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11602 / qualifier
 
xml-id: C14.S1.XMD6.m1odec

Latest revision as of 01:30, 2 January 2020

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DLMF:14.7.E18
No description defined

    Statements

    Defining formula
    𝖰 n ± m ⁡ ( - x ) = ( - 1 ) n - m - 1 ⁢ 𝖰 n ± m ⁡ ( x ) . Ferrers-Legendre-Q-first-kind plus-or-minus 𝑚 𝑛 𝑥 superscript 1 𝑛 𝑚 1 Ferrers-Legendre-Q-first-kind plus-or-minus 𝑚 𝑛 𝑥 {\displaystyle{\displaystyle\mathsf{Q}^{\pm m}_{n}\left(-x\right)=(-1)^{n-m-1}% \mathsf{Q}^{\pm m}_{n}\left(x\right).}}
    0 references
    DLMF id
    DLMF:14.7.E18
    0 references
    Symbols used
    Ferrers function of the second kind
    Defining formula
    𝖰 ν μ ⁡ ( x ) Ferrers-Legendre-Q-first-kind 𝜇 𝜈 𝑥 {\displaystyle{\displaystyle\mathsf{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}
    xml-id
    C14.S3.E2.m2abdec
    0 references
    Q11589
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C14.S1.XMD1.m1qdec
    0 references
    Q11593
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C14.S1.XMD5.m1idec
    0 references
    Q11602
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C14.S1.XMD6.m1odec
    0 references
     
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