Finite sum evaluation of the Gauss hypergeometric function in an important special case
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- by John Detrich and Robert W. Conn PDF
- Math. Comp. 33 (1979), 788-791 Request permission
Abstract:
We present explicit results expressing the Gauss hypergeometric function $F(l + 1,m + 1/2;n + 3/2;z)$ as a finite sum in the general case where l, m, and n are integers.References
- John Detrich and Robert W. Conn, Analytic evaluation of an important integral in collision theory, J. Mathematical Phys. 18 (1977), no. 12, 2348–2351. MR 456015, DOI 10.1063/1.523217 A. ERDELYI ET AL., Higher Trancendental Functions, Vol. I, McGraw-Hill, New York, 1953, p. 64. Ibid., p. 153. Ibid., p. 102. Ibid., p. 57 and p. 103. Ibid., p. 69.
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Math. Comp. 33 (1979), 788-791
- MSC: Primary 33A30
- DOI: https://doi.org/10.1090/S0025-5718-1979-0521292-1
- MathSciNet review: 521292