An asymptotic expansion for the incomplete beta function

نویسنده

  • B. G. S. Doman
چکیده

A new asymptotic expansion is derived for the incomplete beta function I(a, b, x), which is suitable for large a, small b and x > 0.5. This expansion is of the form I(a, b, x) ∼ Q(b,−γ log x) + Γ(a+ b) Γ(a)Γ(b) x ∞ ∑

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عنوان ژورنال:
  • Math. Comput.

دوره 65  شماره 

صفحات  -

تاریخ انتشار 1996