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Formula:9543

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Digital Library of Mathematical Functions ID 30.4.E7

f ⁒ ( x ) = βˆ‘ n = m ∞ c n ⁒ π–―π—Œ n m ⁑ ( x , Ξ³ 2 ) , 𝑓 π‘₯ superscript subscript 𝑛 π‘š subscript 𝑐 𝑛 spheroidal-wave-on-cut-Ps π‘š 𝑛 π‘₯ superscript 𝛾 2 {\displaystyle{\displaystyle f(x)=\sum_{n=m}^{\infty}c_{n}\mathsf{Ps}^{m}_{n}% \left(x,\gamma^{2}\right),}}


Constraint(s)

Symbols List

  • π–―π—Œ n m ⁑ ( x , Ξ³ 2 ) spheroidal-wave-on-cut-Ps π‘š 𝑛 π‘₯ superscript 𝛾 2 {\displaystyle{\displaystyle\mathsf{Ps}^{\NVar{m}}_{\NVar{n}}\left(\NVar{x},% \NVar{\gamma^{2}}\right)}} :
  • x π‘₯ {\displaystyle{\displaystyle x}} : real variable
  • m π‘š {\displaystyle{\displaystyle m}} : nonnegative integer
  • n β‰₯ m 𝑛 π‘š {\displaystyle{\displaystyle n\geq m}} : integer degree
  • Ξ³ 2 superscript 𝛾 2 {\displaystyle{\displaystyle\gamma^{2}}} : real parameter
  • f ⁒ ( x ) 𝑓 π‘₯ {\displaystyle{\displaystyle f(x)}} : function
  • c n subscript 𝑐 𝑛 {\displaystyle{\displaystyle c_{n}}} : coefficient (locally)
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:02.
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