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
Interpolation and Approximation
Selected Works with Commentaries, Vol. 2
Orthogonal Polynomials at the genuine Line
Orthogonal Polynomials at the Semicircle
Kronrod and different Quadratures
Selected Works with Commentaries, Vol. 3
Linear distinction Equations
Ordinary Differential Equations
History and Biography
Works of Werner Gautschi
Read or Download Walter Gautschi, Volume 1: Selected Works with Commentaries PDF
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Extra resources for Walter Gautschi, Volume 1: Selected Works with Commentaries
A harmonic mean inequality for the gamma function. J. Comput. Appl. , 87(2):195–198, 1997.  Horst Alzer. On some inequalities for the incomplete gamma function. Math. , 66(218):771–778, 1997.  Joaquin Bustoz and Mourad E. H. Ismail. On gamma function inequalities. Math. , 47(176):659–667, 1986. ∞  G. Blanch. An asymptotic expansion for En (x) = 1 (e−xu /un )du. NBS Applied Math. Series, 37:61, 1954.  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.