Calculations of integrals of products of Bessel functions
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- by J. E. Kilpatrick, Shigetoshi Katsura and Yuji Inoue PDF
- Math. Comp. 21 (1967), 407-412 Request permission
References
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A. L. Dixon & W. L. Ferrar, “A class of discontinuous integrals,” Quart. J. Math., v. 7, 1936, pp. 81–96.
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.
- Shigetoshi Katsura, Fourth virial coefficient for the square well potential, Phys. Rev. (2) 115 (1959), 1417–1426. MR 108015 S. Katsura, “Fourth virial coefficient for the square well potential. II,” J. Chem. Phys. v. 45, 1966, pp. 3480–3482. S. Katsura & Y. Abe, “Irreducible cluster integrals of hard sphere gases,” J. Chem. Phys., v. 39, 1963, pp. 2068–2080. J. E. Kilpatrick & S. Katsura, “Irreducible cluster integrals of hard sphere gases. II,” J. Chem. Phys., v. 45, 1966, pp. 1866–1874.
- 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, DOI 10.1112/j.1460-244x.1964.tb00223.x
- Yudell L. Luke, Integrals of Bessel functions, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1962. MR 0141801
- 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
- © Copyright 1967 American Mathematical Society
- Journal: Math. Comp. 21 (1967), 407-412
- DOI: https://doi.org/10.1090/S0025-5718-67-99149-1