Computing the Principal Branch of log-Gamma

نویسنده

  • D. E. G. Hare
چکیده

The log-Gamma function is an important special function of mathematics, and its principal branch is required in many applications. We develop here the mathematics required to evaluate the principal branch to arbitrary precision, including a new bound for the error in Stirling’s asymptotic series. We conclude with a discussion of the implementation of the principal branch of the log-Gamma function in the Maple symbolic algebra system, starting with version Maple V Release 3. AMS Subject Classification (1991): Primary : 65D20; Secondary : 33B15, 68Q40

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عنوان ژورنال:
  • J. Algorithms

دوره 25  شماره 

صفحات  -

تاریخ انتشار 1997