An algorithm is given for evaluating the incomplete beta function ratio <italic>I<subscrpt>x</subscrpt>(a,b)</italic> and its complement <italic>1 - I<supscrpt>x</supscrpt>(a,b)</italic>. A newâ€¦ (More)

An algorithm is given for computing the incomplete gamma function ratios <italic>P</italic>(<italic>a</italic>, <italic>x</italic>) and <italic>Q></italic>(<italic>a</italic>, <italic>x</italic>) forâ€¦ (More)

Authorsâ€™ address: U.S. Naval Surface Weapons Center, Dahlgren, VA 22448. Permission to copy without fee all or part of this material is granted provided that the copies are not made or distributedâ€¦ (More)

A new approximation is given for Â¡xe ' t? dt, x > 0, p real, which extends an earlier approximation of Boyd's for p = 0. Introduction. In [2] Boyd gives (1) Â£0) = 4/[3* + y/x2 + 8] as anâ€¦ (More)

A method, made up of several algorithms, is given for computing the incomplete gamma function ratio, P(a, x) and its complement Q{a, x) for all real arguments a > 0, x > Ãœ. The difficult case when aâ€¦ (More)