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The $ \Gamma$-function revisited: power series expansions and real-imaginary zero lines

Authors: Jan Bohman and Carl-Erik Fröberg
Journal: Math. Comp. 58 (1992), 315-322
MSC: Primary 33B15; Secondary 11Y70, 65D20
MathSciNet review: 1106958
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Abstract: Explicit power series expansions of the gamma function are given close to $ - 10, - 2, - 1,0,1,2,3,4$, and 10 together with formulas that can be used in other integer points. Further, curves along which the real or imaginary part of the function vanish are presented.

References [Enhancements On Off] (What's this?)

  • [1] H. T. Davis, Tables of the higher mathematical functions, vol. 1, Principia Press, Bloomington, IN, 1933.
  • [2] M. Abramowitz and I. A. Stegun, Handbook of mathematical functions, National Bureau of Standards Appl. Math. Ser., no. 55, 1964.
  • [3] E. R. Hansen, A table of series and products, Prentice-Hall, Englewood Cliffs, NJ, 1978.

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Article copyright: © Copyright 1992 American Mathematical Society

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