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Walter Gautschi, Volume 1: Selected Works with Commentaries by Claude Brezinski, Ahmed Sameh

By Claude Brezinski, Ahmed Sameh

Walter Gautschi has written generally on subject matters starting from detailed services, quadrature and orthogonal polynomials to distinction and differential equations, software program implementations, and the heritage of arithmetic. he's global popular for his pioneering paintings in numerical research and optimistic orthogonal polynomials, together with a definitive textbook within the former, and a monograph within the latter zone.

This three-volume set, Walter Gautschi: chosen Works with Commentaries, is a compilation of Gautschi’s so much influential papers and contains commentaries via best specialists. The paintings starts with a close biographical part and ends with a piece commemorating Walter’s in advance deceased dual brother. This name will entice graduate scholars and researchers in numerical research, in addition to to historians of science.

Selected Works with Commentaries, Vol. 1

Numerical Conditioning

Special Functions

Interpolation and Approximation

Selected Works with Commentaries, Vol. 2

Orthogonal Polynomials at the genuine Line

Orthogonal Polynomials at the Semicircle

Chebyshev Quadrature

Kronrod and different Quadratures

Gauss-type Quadrature

Selected Works with Commentaries, Vol. 3

Linear distinction Equations

Ordinary Differential Equations


History and Biography


Works of Werner Gautschi

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A harmonic mean inequality for the gamma function. J. Comput. Appl. , 87(2):195–198, 1997. [2] Horst Alzer. On some inequalities for the incomplete gamma function. Math. , 66(218):771–778, 1997. [3] Joaquin Bustoz and Mourad E. H. Ismail. On gamma function inequalities. Math. , 47(176):659–667, 1986. ∞ [4] G. Blanch. An asymptotic expansion for En (x) = 1 (e−xu /un )du. NBS Applied Math. Series, 37:61, 1954. [6] Yunshyong Chow, L. Gatteschi, and R. Wong. A Bernstein-type inequality for the Jacobi polynomial.

With F. Costabile) Stime per difetto per gli zeri pi` u grandi dei polinomi ortogonali, Boll. Un. Mat. Ital. (5) 17A, 516–522. 73. (with M. Montrone) Metodi multistep con minimo coefficiente dell’errore globale, Calcolo 17, 67–75. 1981 74. A survey of Gauss–Christoffel quadrature formulae, in E. B. Christoffel — the influence of his work in mathematics and the physical sciences (P. L. Butzer and F. ), 72–147, Birkh¨auser, Basel. 75. Minimal solutions of three-term recurrence relations and orthogonal polynomials, Math.

189. (with C. Giordano) Luigi Gatteschi’s work on asymptotics of special functions and their zeros, Numer. Algorithms 49, 11–31. 190. On a conjectured inequality for the largest zero of Jacobi polynomials, Numer. Algorithms 49, 195–198. 4. Publications 33 2009 191. On conjectured inequalities for zeros of Jacobi polynomials, Numer. Algorithms 50, 93–96. 192. New conjectured inequalities for zeros of Jacobi polynomials, Numer. Algorithms 50, 293–296. 193. , Electr. Trans. Numer. Anal. 36, 1–8. 194.

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