Timeline for bound for binomial coefficients
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 14, 2010 at 6:41 | vote | accept | Vagabond | ||
| Jun 12, 2010 at 11:06 | comment | added | Wadim Zudilin | The main property of the binomial coefficients is that the quotients of consecutive terms is rational in both parameters. Then you try to approximate this quotient by a simpler function... Another source of extimates for the binomials is Stirling's formula for the gamma function (mentioned above by Scott). Then one can use the beta integral (which is the reciprocal of a binomial coefficient) and do the estimates for it. | |
| Jun 12, 2010 at 11:01 | comment | added | Vagabond | Thankyou, but I am still rather curious to know how one arrives at such an inequality ? Supposing I dont know this bound and am interested to find a bound, ( I cannot use induction then). I suppose there has to be a way to get a good bound. Is there ? | |
| Jun 12, 2010 at 10:55 | vote | accept | Vagabond | ||
| Jun 14, 2010 at 6:41 | |||||
| Jun 12, 2010 at 10:14 | history | answered | Wadim Zudilin | CC BY-SA 2.5 |