Timeline for Looking for rapidly converging series for the reciprocal gamma and/or gamma function
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 13, 2014 at 20:05 | comment | added | eatscrayons | Some editing has been completed for this question, with some luck it should clear up any remaining confusion. Thanks everyone for the informed comments. | |
| Aug 13, 2014 at 20:00 | history | edited | eatscrayons | CC BY-SA 3.0 |
added 86 characters in body; edited title
|
| Aug 13, 2014 at 19:05 | history | edited | eatscrayons | CC BY-SA 3.0 |
added 1962 characters in body
|
| Jul 28, 2014 at 3:28 | comment | added | eatscrayons | The 'nice' identity (cleanest and simplest, although not the fastest converging series) gives 10 decimal places of accuracy in 13 steps and improves gradually with additional indices. I am still reading through Borwein/Zuckers fast alogrithms/ | |
| Jul 27, 2014 at 18:31 | comment | added | NAME_IN_CAPS | How fast does your method compute $\Gamma(1/2)=\sqrt{\pi}$? That would be a useful trial case. Similarly see the formulas for $\Gamma(1/4)$ at en.wikipedia.org/wiki/Particular_values_of_the_Gamma_function And note there that Borwein/Zucker have quadratically fast algorithms for $\Gamma(n/24)$. | |
| Jul 27, 2014 at 16:03 | comment | added | eatscrayons | If you mean where the function works it is exact for all real and imaginary values for gamma(x). I am unfortunately unfamiliar with much of what is in that paper (although I went through it all). Perhaps some background would be helpful, I am a junior in the Engineering program at my school. I apologize for my lack of proper vernacular for mathematics although there are currently 8 fast converging infinite series for the reciprocal gamma function in my notes. The Professors on campus have been helpful (one recommended using this site) but I do not know what (if anything) to do next. | |
| Jul 27, 2014 at 11:11 | comment | added | NAME_IN_CAPS | Where are you in the complex plane, and how much precision do you want? There is a paper of Schmelzer and Trefethen that discusses computation of $\Gamma$, they give different methods and seem to favor Hankel contours and numerical integration in general. people.maths.ox.ac.uk/trefethen/publication/PDF/2007_122.pdf | |
| Jul 27, 2014 at 3:22 | comment | added | eatscrayons | I've seen that one before, it doesn't seem very fast converging, also it requires a lot of calculations per step, am I perhaps missing something? | |
| Jul 26, 2014 at 20:58 | comment | added | Jeremy Rouse | You could try the series given here. | |
| Jul 26, 2014 at 19:59 | review | First posts | |||
| Jul 26, 2014 at 21:13 | |||||
| Jul 26, 2014 at 19:52 | history | asked | eatscrayons | CC BY-SA 3.0 |