Solution of the Hausdorff moment problem by the use of Pollaczek polynomials

DOI10.1016/0022-247X(91)90406-PzbMath0732.44006MaRDI QIDQ808378

Giovanni Alberto Viano

Publication date: 1991

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

zbMATH Keywords

convergenceHausdorff moment problemill-posed problemPollaczek polynomialsasymptotic convergence

Mathematics Subject Classification ID

Numerical methods for integral transforms (65R10) Moment problems (44A60) Numerical methods for ill-posed problems for integral equations (65R30)

Related Items (12)

Tikhonov type regularization method for the Cauchy problem of the modified Helmholtz equation ⋮ The Hausdorff moments in statistical mechanics ⋮ An orthonormal basis functions method for moment problems. ⋮ Numerical Computation of a Cauchy Problem for Laplace's Equation ⋮ On the solution of the inverse scattering problem, at fixed energy, for the class of Yukawian potentials ⋮ Numerical Computation of a Cauchy Problem for Laplace's Equation ⋮ Watson resummation of a class of Hausdorff-transformed power series ⋮ Recovering a variable exponent ⋮ Modified Tikhonov regularization method for the Cauchy problem of the Helmholtz equation ⋮ Generalized Hausdorff inverse moment problem ⋮ On the solution of a class of Cauchy integral equations ⋮ Hausdorff moments, Hardy spaces, and power series

Cites Work

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• Numerical inversion of the Laplace transform by the use of Pollaczek polynomials
• Hausdorff's moment problem and expansions in Legendre polynomials
• Meixner–Pollaczek polynomials and the Heisenberg algebra
• An analyticity test in the theory of complex angular momentum
• Group Representation in a Continuous Basis: An Example
• Time-Variable Singularities for Solutions of the Heat Equation

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