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Asymptotic expansions and inequalities for hypergeometric function

  • S. Ponnusamy (a1) and M. Vuorinen (a2)

Ramanujan's work on the asymptotic behaviour of the hypergeometric function has been recently refined to the zero-balanced Gaussian hypergeometric function F(a, b; a + b; x) as x→1.We extend these results for F(a, b; c; x) when a, b, c>0 and c<a + b.

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  • ISSN: 0025-5793
  • EISSN: 2041-7942
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