Closed form evaluations of some series comprising sums of exponentiated multiples of two-term and three-term Catalan number linear combinations
Journal article
Larcombe, Peter J. 2015. Closed form evaluations of some series comprising sums of exponentiated multiples of two-term and three-term Catalan number linear combinations. Fibonacci Quarterly.
| Authors | Larcombe, Peter J. |
|---|---|
| Abstract | Closed form evaluations of some infinite series comprising sums of exponentiated multiples of two-term and three-term Catalan number linear combinations are presented using three contrasting approaches. Known power series expansions of the trigonometric functions sin(4α) and sin(6α) each readily give a set of (four) results which are reformulated via a hypergeometric route and, additionally, using only the generating function for the Catalan sequence; the latter two methods are shown to be connected. |
Closed form evaluations of some infinite series comprising sums of | |
| Keywords | Discrete mathematics; Applied mathematics |
| Year | 2015 |
| Journal | Fibonacci Quarterly |
| Publisher | The Fibonacci Association |
| ISSN | 0015-0517 |
| Web address (URL) | http://hdl.handle.net/10545/620855 |
| http://creativecommons.org/licenses/by/4.0/ | |
| hdl:10545/620855 | |
| Publication dates | Aug 2015 |
| Publication process dates | |
| Deposited | 15 Nov 2016, 12:26 |
| Contributors | University of Derby |
| File | File Access Level Open |
| File | File Access Level Open |
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