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  For the central case of \code{pt}, a normal approximation in the
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  For the central case of \code{pt}, a normal approximation in the
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  tails, otherwise via \code{\link{pbeta}}.
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  tails, otherwise via \code{\link{pbeta}}.
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  For the non-central case of \code{pt} based on a C translation of
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  For the non-central case of \code{pt} based on a C translation of
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  \bibcitet{R:Lenth:1989}.
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  This computes the lower tail only, so the upper tail currently suffers
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  from cancellation and a warning will be given when this is likely to
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  be significant.
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  Lenth, R. V. (1989). \emph{Algorithm AS 243} ---
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  Cumulative distribution function of the non-central \eqn{t} distribution,
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  \emph{Applied Statistics} \bold{38}, 185--189; \doi{10.2307/2347693} .
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  This computes the lower tail only, so the upper tail currently suffers from
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  cancellation and a warning will be given when this is likely to be
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  significant.
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  For central \code{qt}, a C translation of
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  For central \code{qt}, a C translation of \bibcitet{R:Hill:1970}
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  Hill, G. W. (1970) Algorithm 396: Student's \eqn{t}-quantiles.
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  \emph{Communications of the ACM}, \bold{13}(10), 619--620;
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  \doi{10.1145/355598.362776}.
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  altered to take account of
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  altered to take account of \bibcitet{R:Hill:1981}.
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  Hill, G. W. (1981) Remark on Algorithm 396, \emph{ACM Transactions on
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    Mathematical Software}, \bold{7}, 250--1; \doi{10.1145/355945.355956} .
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  The non-central case is done by inversion.
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  The non-central case is done by inversion.
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}
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}
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\references{
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\references{
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  \bibshow{R:Becker+Chambers+Wilks:1988} (Except non-central versions.)
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  \bibinfo{R:Johnson+Kotz+Balakrishnan:1995}{footer}{Chapters 28 and
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    31.}
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  Johnson, N. L., Kotz, S. and Balakrishnan, N. (1995)
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  \emph{Continuous Univariate Distributions}, volume 2, chapters 28 and 31.
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  \bibinfo{R:Becker+Chambers+Wilks:1988}{footer}{(Except non-central
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  Wiley, New York.
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    versions.)}
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  \bibshow{*,
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    R:Becker+Chambers+Wilks:1988,
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    R:Johnson+Kotz+Balakrishnan:1995}
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}
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}
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\seealso{
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\seealso{
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  \link{Distributions} for other standard distributions, including
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  \link{Distributions} for other standard distributions, including
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  \code{\link{df}} for the F distribution.
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  \code{\link{df}} for the F distribution.
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}
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}