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Formula:6747

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Digital Library of Mathematical Functions ID 18.37.E3

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}},}}


Constraint(s)

Symbols List

  • z ¯ 𝑧 {\displaystyle{\displaystyle\overline{\NVar{z}}}} : complex conjugate
  • 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)}} : disk polynomial
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • m 𝑚 {\displaystyle{\displaystyle m}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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