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Evaluation of the incomplete gamma function of imaginary argument by Chebyshev polynomials. (English) Zbl 0098.32101
##### Keywords:
numerical analysis
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##### References:
 [1] Arthur Erdélyi, Wilhelm Magnus, Fritz Oberhettinger, and Francesco G. Tricomi, Higher transcendental functions. Vols. I, II, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953. Based, in part, on notes left by Harry Bateman. · Zbl 0052.29502 [2] G. N. Watson, Treatise on the Theory of Bessel Functions, Second Edition, Cambridge University Press, 1948, p. 544. [3] Erwin Kreyszig, On the zeros of the Fresnel integrals, Canad. J. Math. 9 (1957), 118 – 131. · Zbl 0078.25901 · doi:10.4153/CJM-1957-016-9 · doi.org [4] C. Lanczos, Tables of Chebyshev Polynomials $${S_n}(x)$$ and $${C_n}(x)$$, Nat. Bur. Standards, U. S. Government Printing Office, Washington D. C., 1952. [5] B. van der Pol & T. J. Weijers, “Tchebycheff Polynomials and Their Relation to Circular Functions, Bessel Functions and Lissajous Figures,” Physica, 1933. · Zbl 0008.07004 [6] N. W. McLachlan, Bessel Functions for Engineers, Second Edition, Oxford University Press, 1955, p. 86. · JFM 61.1177.05 [7] T. Pearcey, Table of the Fresnel integral to six decimal places, Cambridge University Press, New York, 1956. · Zbl 0073.12201
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