User contributions
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- 19:00, 15 March 2018 (diff | hist) . . (+120) . . Chebyshev U
- 19:00, 15 March 2018 (diff | hist) . . (+120) . . Chebyshev T
- 14:42, 15 March 2018 (diff | hist) . . (+34) . . Book:W.W. Bell/Special Functions for Scientists and Engineers
- 14:42, 15 March 2018 (diff | hist) . . (+115) . . Hypergeometric pFq (current)
- 14:39, 15 March 2018 (diff | hist) . . (+214) . . Book:W.W. Bell/Special Functions for Scientists and Engineers
- 14:37, 15 March 2018 (diff | hist) . . (-433) . . Laguerre L (current)
- 14:36, 15 March 2018 (diff | hist) . . (+348) . . N L n'(x)=-Sum L k(x) (Created page with "==Theorem== The following formula holds: $$L_n'(x) = -\displaystyle\sum_{k=0}^{n-1} L_k(x),$$ where $L_n$ denotes Laguerre L. ==Proof== ==References== * {{BookReference|...") (current)
- 14:35, 15 March 2018 (diff | hist) . . (+356) . . N XL n'(x)=nL n(x)-n L (n-1)(x) (Created page with "==Theorem== The following formula holds: $$xL_n'(x)=nL_n(x)-nL_{n-1}(x),$$ where $L_n$ denotes Laguerre L. ==Proof== ==References== * {{BookReference|Special Functions f...") (current)
- 14:32, 15 March 2018 (diff | hist) . . (+23) . . (n+1)L (n+1)(x) = (2n+1-x)L n(x)-nL (n-1)(x) (current)
- 14:32, 15 March 2018 (diff | hist) . . (+343) . . N (n+1)L (n+1)(x) = (2n+1-x)L n(x)-nL (n-1)(x) (Created page with "==Theorem== The following formula holds: $$(n+1)L_{n+1}(x)=(2n+1-x)L_n(x)-nL_{n-1}(x),$$ where $L_{n+1}$ denotes Laguerre L. ==Proof== ==References== * {{BookReference|S...")
- 14:30, 15 March 2018 (diff | hist) . . (+38) . . Orthogonality of Laguerre L (current)
- 14:30, 15 March 2018 (diff | hist) . . (-202) . . Laguerre L (→Properties)
- 14:28, 15 March 2018 (diff | hist) . . (+249) . . Book:W.W. Bell/Special Functions for Scientists and Engineers
- 14:22, 15 March 2018 (diff | hist) . . (-285) . . Laguerre L
- 14:21, 15 March 2018 (diff | hist) . . (+323) . . N Kronecker delta (Created page with "The Kronecker delta is the function $\delta \colon \mathbb{N}_0 \times \mathbb{N}_0 \rightarrow \{0,1\}$ defined by $$\delta(m,n)=\left\{ \begin{array}{ll} 0, & \quad m \neq n...") (current)
- 14:19, 15 March 2018 (diff | hist) . . (+431) . . N Orthogonality of Laguerre L (Created page with "==Theorem== The following formula holds: $$\displaystyle\int_0^{\infty} e^{-x} L_n(x) L_m(x) \mathrm{d}x = \delta_{mn},$$ where $e^{-x}$ denotes the exponential, $L_n$ den...")
- 14:18, 15 March 2018 (diff | hist) . . (+21) . . L n'(0)=-n (current)
- 14:17, 15 March 2018 (diff | hist) . . (+289) . . N L n'(0)=-n (Created page with "==Theorem== The following formula holds: $$L_n'(0)=-n,$$ where $L_n$ denotes Laguerre L. ==Proof== ==References== * {{BookReference|Special Functions for Scientists and...")
- 14:17, 15 March 2018 (diff | hist) . . (+319) . . N L n(0)=1 (Created page with "==Theorem== The following formula holds: $$L_n(0)=1,$$ where $L_n$ denotes Laguerre L. ==Proof== ==References== * {{BookReference|Special Functions for Scientists and En...") (current)
- 14:15, 15 March 2018 (diff | hist) . . (+2) . . L n(x)=(e^x/n!)d^n/dx^n(x^n e^(-x)) (current)
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