A class of non-orthogonal polynomials related to those of Laguerre

DOI10.1007/BF02790089zbMath0045.34501MaRDI QIDQ2649896

Francesco Giacomo Tricomi

Publication date: 1951

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

zerosasymptotic representationexpansion in Bessel functionsexpansion in a series of incomplete gamma functionsnon-orthogonal polynomialstable of zeros

Mathematics Subject Classification ID

Hypergeometric functions (33C99)

Related Items (9)

Chebyshev polynomials via quadratic and cubic decompositions of the canonical sequence ⋮ Zur Asymptotik der konfluenten hypergeometrischen Funktionen ⋮ Konfluente hypergeometrische Funktionen ⋮ Uniform asymptotic approximation of Fermi-Dirac integrals ⋮ Uniform asymptotic expansions of the Tricomi-Carlitz polynomials ⋮ Zur Abschätzung des Restgliedes in der asymptotischen Entwicklung des Exponentialintegrals ⋮ Uniform asymptotics for discrete orthogonal polynomials on infinite nodes with an accumulation point ⋮ A combinatorial approach to derangement matrix of type \(B\) ⋮ Krylov complexity and orthogonal polynomials

Cites Work

• Sugli zeri delle funzioni di cui si conosce una rappresentazione asintotica
• Asymptotische Eigenschaften der unvollständigen Gammafunktionen
• Sul comportamento asintotico dei polinomi di Laguerre
• The asymptotic expansion of a ratio of gamma functions

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