Polynomial Approximation and Growth of Generalized Axisymmetrig Potentials

McCoy, Peter A.

Canadian journal of mathematics, Tome 31 (1979) no. 1, pp. 49-59

Résumé

Generalized axisymmetric potentials Fα (GASP) are regular solutions to the generalized axisymmetric potential equation (1.1) in some neighborhood Ω of the origin where they are subject to the initial data (1.2) along the singular line y = 0. In Ω, these potentials may be uniquely expanded in terms of the complete set of normalized ultraspherical polynomials (1.3) defined from the symmetric Jacobi polynomials Pn (α, α)(ξ) of degree n with parameter α as Fourier series (1.4)

Détail

DOI : 10.4153/CJM-1979-006-7

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