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The asymptotic expansion of a hypergeometric function $_{2}F_{2}(1, \alpha ; \rho _{1}, \rho _{2}; \ z)$

Author: Shoon K. Kim
Journal: Math. Comp. 26 (1972), 963
MSC: Primary 65D20; Secondary 33A30
MathSciNet review: 0314235
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Abstract: The asymptotic expansion of a hypergeometric function $_2{F_2}(1,\alpha ;{\rho _1},{\rho _2};z)$ is given in terms of hypergeometric functions $_2{F_0}({z^{ - 1}})$ and $_3{F_1}({z^{ - 1}})$.

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

    Shoon K. Kim, J. Chem. Phys., v.46, 1967, p. 123.
  • Yudell L. Luke, Integrals of Bessel functions, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1962. MR 0141801
  • Yudell L. Luke, The special functions and their approximations, Vol. I, Mathematics in Science and Engineering, Vol. 53, Academic Press, New York-London, 1969. MR 0241700

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Keywords: Hypergeometric functions, asymptotic expansion
Article copyright: © Copyright 1972 American Mathematical Society