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- Spouge's_approximation abstract "In mathematics, Spouge's approximation is a formula for the gamma function due to John L. Spouge in 1994. The formula is a modification of Stirling's approximation, and has the formwhere a is an arbitrary positive integer and the coefficients are given bySpouge has proved that, if Re(z) > 0 and a > 2, the relative error in discarding εa(z) is bounded byThe formula is similar to the Lanczos approximation, but has some distinct features. Whereas the Lanczos formula exhibits faster convergence, Spouge's coefficients are much easier to calculate and the error can be set arbitrarily low. The formula is therefore feasible for arbitrary-precision evaluation of the gamma function. However, special care must be taken to use sufficient precision when computing the sum due to the large size of the coefficients , as well as their alternating sign. For example, for a=49, you must compute the sum using about 65 decimal digits of precision in order to obtain the promised 40 decimal digits of accuracy.".
- Spouge's_approximation wikiPageExternalLink Gamma_function_with_Spouge's_formula_(Mathematica).
- Spouge's_approximation wikiPageID "7630895".
- Spouge's_approximation wikiPageRevisionID "544575839".
- Spouge's_approximation hasPhotoCollection Spouge's_approximation.
- Spouge's_approximation subject Category:Computer_arithmetic_algorithms.
- Spouge's_approximation subject Category:Gamma_and_related_functions.
- Spouge's_approximation type Abstraction100002137.
- Spouge's_approximation type Act100030358.
- Spouge's_approximation type Activity100407535.
- Spouge's_approximation type Algorithm105847438.
- Spouge's_approximation type ArbitraryPrecisionAlgorithms.
- Spouge's_approximation type Event100029378.
- Spouge's_approximation type Procedure101023820.
- Spouge's_approximation type PsychologicalFeature100023100.
- Spouge's_approximation type Rule105846932.
- Spouge's_approximation type YagoPermanentlyLocatedEntity.
- Spouge's_approximation comment "In mathematics, Spouge's approximation is a formula for the gamma function due to John L. Spouge in 1994. The formula is a modification of Stirling's approximation, and has the formwhere a is an arbitrary positive integer and the coefficients are given bySpouge has proved that, if Re(z) > 0 and a > 2, the relative error in discarding εa(z) is bounded byThe formula is similar to the Lanczos approximation, but has some distinct features.".
- Spouge's_approximation label "Spouge's approximation".
- Spouge's_approximation sameAs m.02678k3.
- Spouge's_approximation sameAs Q935210.
- Spouge's_approximation sameAs Q935210.
- Spouge's_approximation sameAs Spouge's_approximation.
- Spouge's_approximation wasDerivedFrom Spouge's_approximation?oldid=544575839.
- Spouge's_approximation isPrimaryTopicOf Spouge's_approximation.