Timeline for Upper bounds on generalized Laguerre polynomials
Current License: CC BY-SA 3.0
5 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Feb 5, 2012 at 12:30 | comment | added | Andrei MF | @Noam: don't leave Abramowitz-Stegun behind either... :-) | |
Feb 5, 2012 at 7:33 | vote | accept | AatG | ||
Feb 5, 2012 at 7:33 | comment | added | AatG | Thanks for the suggestions. I found a satisfactory bound by using very elementary estimates on the polynomial expression for $L_n^(\alpha).$ It's something like $L_n^(\alpha) \leq 1.14 \Gamma(\alpha +n + 1)(1+ |x|)^n$ ... this is probably incorrect in all but general form, since I'm changing notation and indexing on the fly here. At any rate, it turned out that the result I wanted can be gotten at without messing around with Laguerre polynomials. | |
Feb 4, 2012 at 18:46 | comment | added | Noam D. Elkies | ...and even good old Gradshteyn-Ryzhik. | |
Feb 4, 2012 at 12:13 | history | answered | Andrei MF | CC BY-SA 3.0 |