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Formula:9287

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Digital Library of Mathematical Functions ID 29.3.E8

b ν m ⁡ ( k 2 ) + b ν ν - m + 1 ⁡ ( 1 - k 2 ) = ν ⁢ ( ν + 1 ) , Lame-eigenvalue-b 𝑚 𝜈 superscript 𝑘 2 Lame-eigenvalue-b 𝜈 𝑚 1 𝜈 1 superscript 𝑘 2 𝜈 𝜈 1 {\displaystyle{\displaystyle{b^{m}_{\nu}\left(k^{2}\right)+b^{\nu-m+1}_{\nu}% \left(1-k^{2}\right)=\nu(\nu+1)},}}


Constraint(s)

m = 1 , 2 , … , ν 𝑚 1 2 … 𝜈 {\displaystyle{\displaystyle m=1,2,\dots,\nu}}

Symbols List

  • b ν n ⁡ ( k 2 ) Lame-eigenvalue-b 𝑛 𝜈 superscript 𝑘 2 {\displaystyle{\displaystyle b^{\NVar{n}}_{\NVar{\nu}}\left(\NVar{k^{2}}\right% )}} :
  • m 𝑚 {\displaystyle{\displaystyle m}} : nonnegative integer
  • k 𝑘 {\displaystyle{\displaystyle k}} : real parameter
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : real parameter
  •  Edit this on Wikidata

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