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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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On the evaluation of some integrals occurring in scattering problems
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by J. Kadlec PDF
Math. Comp. 30 (1976), 263-277 Request permission

Abstract:

Some definite integrals which occur in transport problems through a scattering medium are studied. They are expressed in terms of such functions as the exponential integral of the first and second order, the dilogarithm, and a newly introduced and tabulated function.
References
  • Milton Abramowitz and Irene A. Stegun (eds.), Handbook of mathematical functions, with formulas, graphs, and mathematical tables, Dover Publications, Inc., New York, 1966. MR 0208797
  • Integraltafel. Teil 1: Unbestimmte Integrale, Springer-Verlag, Vienna, 1961 (German). 3te, verbesserte Aufl. MR 0134484
  • H. C. van de Hulst, Scattering in a planetary atmosphere, Astrophys. J. 107 (1948), 220–246. MR 26409, DOI 10.1086/145005
  • J. KADLEC, "Theory of internal photoemission in sandwich structures," Physics Reports. (To appear.)
  • V. Kourganoff, Basic methods in transfer problems. Radiative equilibrium and neutron diffusion, Oxford, at the Clarendon Press, 1952. With the collaboration of I. W. Busbridge. MR 0054158
  • L. Lewin, Dilogarithms and associated functions, Macdonald, London, 1958. Foreword by J. C. P. Miller. MR 0105524
  • Y. L. LUKE, The Special Functions and Their Approximations. Vols. 1, 2, Math. in Sci. and Engrg., vol. 53, Academic Press, New York, 1969. MR 39 #3039; 40 #2909.
  • K. Mitchell, Tables of the function $\int ^z_0(-\textrm {log}|1-y|/y) dy$ with an account of some properties of this and related functions, Philos. Mag. (7) 40 (1949), 351–368. MR 30294
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Math. Comp. 30 (1976), 263-277
  • MSC: Primary 65D20
  • DOI: https://doi.org/10.1090/S0025-5718-1976-0395164-7
  • MathSciNet review: 0395164