The Lebesgue constants for Borel summation of Laplace series

DOI10.1007/BF01294769zbMath0449.40004MaRDI QIDQ1147312

Lee Lorch

Publication date: 1981

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178027

zbMATH Keywords

Legendre polynomialsBorel summabilityDu Bois-Reymond singularitynon-trigonometric Fourier series

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Convergence and divergence of series and sequences of functions (40A30) Spherical harmonics (33C55) Abel, Borel and power series methods (40G10)

Cites Work

• Zur Eulerschen Summierung Neumannscher und Legendrescher Reihen
• Asymptotic expressions for some integrals which include certain Lebesgue and Fejér constants
• The Lebesgue Constants for Jacobi Series, I
• A quasi-equivalence between Borel summability and convergence for Fourier-Laguerre series at the end-point
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