The $\Gamma$-function revisited: power series expansions and real-imaginary zero lines
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- by Jan Bohman and Carl-Erik Fröberg PDF
- Math. Comp. 58 (1992), 315-322 Request permission
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
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H. T. Davis, Tables of the higher mathematical functions, vol. 1, Principia Press, Bloomington, IN, 1933.
M. Abramowitz and I. A. Stegun, Handbook of mathematical functions, National Bureau of Standards Appl. Math. Ser., no. 55, 1964.
E. R. Hansen, A table of series and products, Prentice-Hall, Englewood Cliffs, NJ, 1978.
Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Math. Comp. 58 (1992), 315-322
- MSC: Primary 33B15; Secondary 11Y70, 65D20
- DOI: https://doi.org/10.1090/S0025-5718-1992-1106958-3
- MathSciNet review: 1106958