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A method for the computation of the Fresnel integrals and related functions

Author: Oscar L. Fleckner
Journal: Math. Comp. 22 (1968), 635-640
MSC: Primary 65.25
MathSciNet review: 0226824
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Abstract: A new method for computing the values of the Fresnel integrals and related functions is developed. Error estimates for the resulting power series are derived, and an application of the technique is discussed.

References [Enhancements On Off] (What's this?)

  • Milton Abramowitz and Irene A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards Applied Mathematics Series, vol. 55, For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C., 1964. MR 0167642
  • R. Courant, Differential and Integral Calculus, Vols. I, II, Interscience, New York, 1960.
  • Walter Gautschi, Computational aspects of three-term recurrence relations, SIAM Rev. 9 (1967), 24–82. MR 213062, DOI
  • C. D. Hodgman, C. R. C. Standard Mathematical Tables, Chemical Rubber Publishing Co., Cleveland, Ohio, 1959.
  • Eugene Jahnke, Fritz Emde, and Friedrich Lösch, Tables of higher functions, McGraw-Hill Book Co., Inc., New York-Toronto-London; B. G. Teubner Verlagsgesellschaft, Stuttgart, 1960. 6th ed; Revised by Friedrich Lösch. MR 0114317
  • T. Pearcey, Table of the Fresnel Integrals, Commonwealth Scientific and Industrial Research Organization, Melbourne, Australia, 1956. SCATRAN Reference Manual, Numerical Computation Laboratory, The Ohio State University, 1964.

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Article copyright: © Copyright 1968 American Mathematical Society