DLMF:18.37.E3 (Q6051): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: disk polynomial / rank
 
Normal rank
Property / Symbols used: disk polynomial / qualifier
 
Defining formula:

R m , n ( α ) ⁡ ( z ) disk-orthogonal-polynomial-R 𝛼 𝑚 𝑛 𝑧 {\displaystyle{\displaystyle R^{(\NVar{\alpha})}_{\NVar{m},\NVar{n}}\left(% \NVar{z}\right)}}

\diskpoly{\NVar{\alpha}}{\NVar{m}}{\NVar{n}}@{\NVar{z}}
Property / Symbols used: disk polynomial / qualifier
 
xml-id: C18.S37.E1.m2abdec

Revision as of 13:31, 2 January 2020

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DLMF:18.37.E3
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    Statements

    Defining formula
    R m , n ( α ) ⁡ ( z ) = ∑ j = 0 min ⁡ ( m , n ) c j ⁢ z m - j ⁢ z ¯ n - j , disk-orthogonal-polynomial-R 𝛼 𝑚 𝑛 𝑧 superscript subscript 𝑗 0 𝑚 𝑛 subscript 𝑐 𝑗 superscript 𝑧 𝑚 𝑗 𝑧 𝑛 𝑗 {\displaystyle{\displaystyle R^{(\alpha)}_{m,n}\left(z\right)=\sum_{j=0}^{\min% (m,n)}c_{j}z^{m-j}{\overline{z}^{n-j}},}}
    0 references
    DLMF id
    DLMF:18.37.E3
    0 references
    Symbols used
    complex conjugate
    Defining formula
    z ¯ 𝑧 {\displaystyle{\displaystyle\overline{\NVar{z}}}}
    xml-id
    C1.S9.E11.m2adec
    0 references
    disk polynomial
    Defining formula
    R m , n ( α ) ⁡ ( z ) disk-orthogonal-polynomial-R 𝛼 𝑚 𝑛 𝑧 {\displaystyle{\displaystyle R^{(\NVar{\alpha})}_{\NVar{m},\NVar{n}}\left(% \NVar{z}\right)}}
    xml-id
    C18.S37.E1.m2abdec
    0 references
     
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