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Formula:6489

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Digital Library of Mathematical Functions ID 18.18.E2

f ⁢ ( z ) = ∑ n = 0 ∞ a n ⁢ P n ( α , β ) ⁡ ( z ) , 𝑓 𝑧 superscript subscript 𝑛 0 subscript 𝑎 𝑛 Jacobi-polynomial-P 𝛼 𝛽 𝑛 𝑧 {\displaystyle{\displaystyle f(z)=\sum_{n=0}^{\infty}a_{n}P^{(\alpha,\beta)}_{% n}\left(z\right),}}


Constraint(s)

Symbols List

  • P n ( α , β ) ⁡ ( x ) Jacobi-polynomial-P 𝛼 𝛽 𝑛 𝑥 {\displaystyle{\displaystyle P^{(\NVar{\alpha},\NVar{\beta})}_{\NVar{n}}\left(% \NVar{x}\right)}} : Jacobi polynomial
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • f ⁢ ( z ) 𝑓 𝑧 {\displaystyle{\displaystyle f(z)}} : analytic function
  • a n subscript 𝑎 𝑛 {\displaystyle{\displaystyle a_{n}}} : 18.18.E1
  •  Edit this on Wikidata

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