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... > mathematical analysis > function > elementary function > polynomial > orthogonal polynomials > Plancherel-Rotach asymptotics
algebra > polynomial > orthogonal polynomials > Plancherel-Rotach asymptotics
mathematical analysis > real analysis > Plancherel-Rotach asymptotics

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Plancherel-Rotach asymptotics  

Definición

  • The Plancherel–Rotach asymptotics are asymptotic results for orthogonal polynomials. They are named after the Swiss mathematicians Michel Plancherel and his PhD student Walter Rotach, who first derived the asymptotics for the Hermite polynomial and Laguerre polynomial. Nowadays asymptotic expansions of this kind for orthogonal polynomials are referred to as Plancherel–Rotach asymptotics or of Plancherel–Rotach type.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Plancherel%E2%80%93Rotach_asymptotics)

Concepto genérico

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http://data.loterre.fr/ark:/67375/PSR-CFGG6R72-8

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