Polynomials orthogonal with respect to exponential integrals

Author:

Gautschi Walter

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference10 articles.

1. Abramowitz, M., Stegun, I.A. (eds.): Handbook of Mathematical Functions with Formulas, Graphs, and Marthematical Tables, National Bureau of Standards, Appl. Math. Ser. 55, U. S. Government Printing Office, Washington. D. C. (1964)

2. Chandrasekhar, S.: Radiative Transfer, the International Series of Monographs on Physics. Oxford Univeristy Press, Oxford (1950)

3. Danloy, B.: Numerical construction of Gaussian quadrature formulas for ∫ 0 1 ( − Log x ) ⋅ x α ⋅ f ( x ) ⋅ dx ${{\int }_{0}^{1}} (-\text {Log}\,x)\cdot x^{\alpha }\cdot f(x)\cdot dx$ and ∫ 0 ∞ E m ( x ) ⋅ f ( x ) ⋅ dx ${\int }_{0}^{\infty } E_{m}(x)\cdot f(x)\cdot dx$ . Math. Comp. 27, 861–869 (1973)

4. Gautschi, W.: Algorithm 331—Gaussian quadrature formulas. Comm. ACM 11, 432–436 (1968)

5. Gautschi, W.: Orthogonal Polynomials: Computation and Approximation, Numerical Mathematics and Scientific Computation. Oxford University Press, Oxford (2004)

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