Difference between revisions of "(n+2lambda)C n^(lambda)(x)=2lambda(C n^(lambda+1)(x)-xC (n-1)^(lambda+1)(x))"
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(Created page with "==Theorem== The following formula holds: $$(n+2\lambda)C_n^{\lambda}(x) = 2\lambda(C_n^{\lambda+1}(x)-xC_{n-1}^{\lambda+1}(x)),$$ where $C_n^{\lambda}$ denotes [[Gegenbauer C]...") |
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==Theorem== | ==Theorem== | ||
The following formula holds: | The following formula holds: | ||
| − | $$(n+2\lambda)C_n^{\lambda}(x) = 2\lambda(C_n^{\lambda+1}(x)-xC_{n-1}^{\lambda+1}(x)),$$ | + | $$(n+2\lambda)C_n^{\lambda}(x) = 2\lambda \left(C_n^{\lambda+1}(x)-xC_{n-1}^{\lambda+1}(x) \right),$$ |
where $C_n^{\lambda}$ denotes [[Gegenbauer C]]. | where $C_n^{\lambda}$ denotes [[Gegenbauer C]]. | ||
Latest revision as of 01:26, 20 December 2017
Theorem
The following formula holds: $$(n+2\lambda)C_n^{\lambda}(x) = 2\lambda \left(C_n^{\lambda+1}(x)-xC_{n-1}^{\lambda+1}(x) \right),$$ where $C_n^{\lambda}$ denotes Gegenbauer C.
