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Calculations of integrals of products of Bessel functions


Authors: J. E. Kilpatrick, Shigetoshi Katsura and Yuji Inoue
Journal: Math. Comp. 21 (1967), 407-412
DOI: https://doi.org/10.1090/S0025-5718-67-99149-1
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References [Enhancements On Off] (What's this?)

  • [1] A. L. Dixon & W. L. Ferrar, ``A class of discontinuous integrals,'' Quart. J. Math., v. 7, 1936, pp. 81-96.
  • [2] A. Erdélyi, W. Magnus, F. Oberhettinger & F. G. Tricomi, Higher Transcendental Functions, Vol. 1, McGraw-Hill, New York, 1953, pp. 49, 206. MR 15, 419.
  • [3] Shigetoshi Katsura, Fourth virial coefficient for the square well potential, Phys. Rev. (2) 115 (1959), 1417–1426. MR 0108015
  • [4] S. Katsura, ``Fourth virial coefficient for the square well potential. II,'' J. Chem. Phys. v. 45, 1966, pp. 3480-3482.
  • [5] S. Katsura & Y. Abe, ``Irreducible cluster integrals of hard sphere gases,'' J. Chem. Phys., v. 39, 1963, pp. 2068-2080.
  • [6] J. E. Kilpatrick & S. Katsura, ``Irreducible cluster integrals of hard sphere gases. II,'' J. Chem. Phys., v. 45, 1966, pp. 1866-1874.
  • [7] Shigetoshi Katsura, Yuji Inoue, Seiji Yamashita, and J. E. Kilpatrick, Tables of integrals of threefold and fourfold products of associated Legendre functions, Tech. Rep. Tohoku Univ. 30 (1965), no. 2, 93–163. MR 0192082
  • [8] Yudell L. Luke, Integrals of Bessel functions, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1962. MR 0141801
  • [9] G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. MR 0010746


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-67-99149-1
Article copyright: © Copyright 1967 American Mathematical Society

American Mathematical Society