Timeline for power series of the reciprocal... does a recursive formula exist for the coefficients
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
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| Sep 28, 2021 at 10:40 | comment | added | qifeng618 | The best answers are posted at math.stackexchange.com/a/4262414/945479 and math.stackexchange.com/a/4262417/945479. | |
| Feb 21, 2017 at 2:16 | comment | added | Ira Gessel | @Frank: I don't know. | |
| Feb 18, 2017 at 14:42 | comment | added | Frank | @Ira Gessel, I am curious about the Big-0 running time of potential polynomials . How can it be improved to nearly linear running time? Would Hansel Lifting help for this purpose? Thank you. | |
| Feb 18, 2017 at 11:20 | comment | added | Frank | @IraGessel, I am curious about the Big-0 running time of potential polynomials . How can it be improved to nearly linear running time? Would Hansel Lifting help for this purpose? Thank you. | |
| Jan 28, 2011 at 16:08 | comment | added | Ira Gessel | If we generalize to $f(x)^r$ then the coefficients in the expansion are called potential polynomials (though they're expressed in terms of exponential generating functions, so the formula will have some additional factorials.) A formula for potential polynomials, which generalizes this formula, can be found in Comtet's Advanced Combinatorics, section 3.5. These polynomials are closely related to Bell polynomials. Another reference is Weiping Wang and Tianming Wang, General identities on Bell polynomials. Comput. Math. Appl. 58 (2009), no. 1, 104–118. | |
| Jan 27, 2011 at 1:06 | comment | added | AUK1939 | Cheers, again if you could provide a reference I would be grateful... | |
| Jan 27, 2011 at 1:05 | vote | accept | AUK1939 | ||
| Jan 27, 2011 at 1:22 | |||||
| Jan 26, 2011 at 21:22 | history | answered | Ira Gessel | CC BY-SA 2.5 |