Timeline for Name for series $\sum f_n x^n / (n! (n+k)!)$
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 18, 2014 at 10:03 | vote | accept | Y. Pei | ||
| Oct 13, 2014 at 17:12 | comment | added | Ira Gessel | It's unlikely that these will have any combinatorial applications since the product of two "Bessel generating functions" with integer coefficients won't in general have integer coefficients (by which I mean the coefficients of $x^n/n!(n+k)!$). | |
| Oct 13, 2014 at 14:04 | comment | added | Dan Petersen | I guess the case $k>0$ arises naturally as the $k$th derivative of a doubly exponential generating function. This would seem to reduce the study of "Bessel" generating series to that of doubly exponential ones. | |
| Oct 13, 2014 at 13:55 | history | answered | Ira Gessel | CC BY-SA 3.0 |