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Summation of slowly convergent series

100%

Gautschi W.

Banach Center Publications

1994

tom 29

nr 1

7-18

Among the applications of orthogonal polynomials described briefly on my previous visit to this Center [9, §3.2] were slowly convergent series whose terms could be represented in terms of the Laplace transform at integer arguments. We proposed to sum such series by means of Gaussian quadrature rules applied to suitable integrals involving weight functions of Einstein and Fermi type (cf. [13]). In the meantime it transpired that the technique is applicable to a large class of numerical series and, suitably adapted, also to power series and Fourier series of interest in plate problems. In the following we give a summary of these new applications and the contexts in which they arise.

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Some applications and numerical methods for orthogonal polynomials

100%

Gautschi W.

Banach Center Publications

1990

tom 24

nr 1

7-19

Orthogonal polynomials on the semicircle

75%

Gautschi W.

Banach Center Publications

1990

tom 24

nr 1

21-27

Ograniczanie wyników

3 Banach Center Publications

3 Gautschi W.

1 1994

2 1990

Wyniki wyszukiwania

Summation of slowly convergent series

Some applications and numerical methods for orthogonal polynomials

Orthogonal polynomials on the semicircle