On functions expandable in Lidstone series

DOI10.1016/0022-247X(74)90014-6zbMath0294.30014MaRDI QIDQ1212574

J. D. Buckholtz, J. K. Shaw

Publication date: 1974

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Dirichlet series, exponential series and other series in one complex variable (30B50) Representations of entire functions of one complex variable by series and integrals (30D10)

Related Items (13)

Pointwise and uniform error estimates associated with Abel-Whittaker interpolation series and its dual ⋮ Polynomial two-point expansions ⋮ Complementary Lidstone interpolation on scattered data sets ⋮ Some new features of the Boubaker polynomials expansion scheme BPES ⋮ A note on a series of Lidstone polynomials ⋮ New embedded boundary-type quadrature formulas for the simplex ⋮ Polynomial approximation of \(C^M\) functions by means of boundary values and applications: A survey ⋮ Lidstone approximation on the triangle ⋮ Absolutely convergent Lidstone series ⋮ New bivariate polynomial expansion with boundary data on the simplex ⋮ Pólya operators. II: Complete concavity ⋮ Absolutely convergent Lidstone series. II ⋮ Sine series on [0,\(\ell\) for certain entire functions and Lidstone series]

Cites Work

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• Series expansions of analytic functions
• Representation of functions by Lidstone series
• On n-Point Expansions of Entire Functions
• On Lidstone's Series and Two-Point Expansions of Analytic Functions
• On certain two-point expansions of integral functions of exponential type
• Completely Convex Functions and Lidstone Series

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