Timeline for Closed-form for modified formal power series
Current License: CC BY-SA 3.0
3 events
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Jul 27, 2011 at 22:51 | comment | added | StevenJ | Oh, and also, if $P_T(C)$ was a hypergeometric function then it's easy to add factors of 1/n! into the denominator of the coefficients. I don't know if that suggests that $P_T$ is not a hypergeometric function because if it was then it would be simple to work backwards and express the $b_n$ series in terms of factorials. It seems like if the nth term in that series could be expressed simply someone would have found the expression by now... | |
Jul 27, 2011 at 22:06 | comment | added | StevenJ | I suppose the question then is, what's the nth coefficient in the expansion of the function P_T(C) you have above? Is there a general relationship between the ordinary and exponential generating functions? It seems like there should/might be but I don't know what it is. | |
Jul 26, 2011 at 19:11 | history | answered | Gerald Edgar | CC BY-SA 3.0 |