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18 May 2024
| 09:05 | Book:David Nelson/The Penguin Dictionary of Mathematics/Fourth Edition diffhist −18 Prime.mover talk contribs | ||||
17 May 2024
| m 10:52 | Book:David Nelson/The Penguin Dictionary of Mathematics/Fourth Edition diffhist −4 Prime.mover talk contribs | ||||
16 May 2024
| m 23:31 | Book:David Nelson/The Penguin Dictionary of Mathematics/Fourth Edition diffhist +10 Prime.mover talk contribs | ||||
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22:02 | Generating Function for Legendre Polynomials 4 changes history +481 [Prime.mover (4×)] | |||
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19:05 | Legendre Polynomial/Examples 3 changes history +231 [Prime.mover (3×)] | |||
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N 19:04 | Legendre Polynomial/Examples/P1 3 changes history +2,278 [Prime.mover (3×)] | |||
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17:37 (cur | prev) +776 Prime.mover talk contribs (Created page with "== Example of Legendre Polynomial == The $1$st '''Legendre polynomial''' is: <onlyinclude> :$\map {P_1} x = x$ </onlyinclude> == Proof == {{ProofWanted|expand Generating Function for Legendre Polynomials}} == Sources == * {{BookReference|The Penguin Dictionary of Mathematics|1998|David Nelson|ed = 2nd|edpage = Second Edition|prev = Legendre Polynomial/Examples/P0|next = Legendre Polynomial/Ex...") | |||
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N 19:04 | Legendre Polynomial/Examples/P0 3 changes history +1,856 [Prime.mover (3×)] | |||
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17:51 (cur | prev) +581 Prime.mover talk contribs | ||||
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17:36 (cur | prev) +793 Prime.mover talk contribs (Created page with "== Example of Legendre Polynomial == The zeroth '''Legendre polynomial''' is: <onlyinclude> :$\map {P_0} x = 1$ </onlyinclude> == Proof == {{ProofWanted|expand Generating Function for Legendre Polynomials}} == Sources == * {{BookReference|The Penguin Dictionary of Mathematics|1998|David Nelson|ed = 2nd|edpage = Second Edition|prev = Legendre Polynomial/Examples|next = Le...") | |||
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N 18:41 | Legendre Polynomial/Examples/P4 2 changes history +1,101 [Prime.mover (2×)] | |||
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18:41 (cur | prev) +734 Prime.mover talk contribs | ||||
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17:39 (cur | prev) +367 Prime.mover talk contribs (Created page with "== Example of Legendre Polynomial == The $4$th '''Legendre polynomial''' is: <onlyinclude> :$\map {P_4} x = \dfrac 1 8 \paren {35 x^4 - 30 x^2 + 3}$ </onlyinclude> == Proof == {{ProofWanted|expand Generating Function for Legendre Polynomials}} Category:Examples of Legendre Polynomials") | |||
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N 18:35 | Legendre Polynomial/Examples/P2 6 changes history +1,471 [Prime.mover (6×)] | |||
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18:27 (cur | prev) +21 Prime.mover talk contribs | ||||
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18:20 (cur | prev) +629 Prime.mover talk contribs | ||||
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17:38 (cur | prev) +814 Prime.mover talk contribs (Created page with "== Example of Legendre Polynomial == The $2$nd '''Legendre polynomial''' is: <onlyinclude> :$\map {P_2} x = \dfrac 1 2 \paren {3 x^2 - 1}$ </onlyinclude> == Proof == {{ProofWanted|expand Generating Function for Legendre Polynomials}} == Sources == * {{BookReference|The Penguin Dictionary of Mathematics|1998|David Nelson|ed = 2nd|edpage = Second Edition|prev = Legendre Polynomial/Examples/P1|n...") | |||
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N 18:35 | Legendre Polynomial/Examples/P3 3 changes history +1,049 [Prime.mover (3×)] | |||
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18:35 (cur | prev) +30 Prime.mover talk contribs | ||||
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18:32 (cur | prev) +660 Prime.mover talk contribs | ||||
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17:39 (cur | prev) +359 Prime.mover talk contribs (Created page with "== Example of Legendre Polynomial == The $3$rd '''Legendre polynomial''' is: <onlyinclude> :$\map {P_3} x = \dfrac 1 2 \paren {5 x^3 - 3 x}$ </onlyinclude> == Proof == {{ProofWanted|expand Generating Function for Legendre Polynomials}} Category:Examples of Legendre Polynomials") | |||
| N 17:20 | Definition:Length of Legendre Polynomial diffhist +98 Prime.mover talk contribs (Redirected page to Definition:Legendre Polynomial/Length) | ||||
| N 17:19 | Definition:Legendre Polynomial/Length diffhist +534 Prime.mover talk contribs (Created page with "== Definition == <onlyinclude> Let $\map {P_n} x$ denote the '''Legendre polynomial of order $n$'''. The '''length''' of $\map {P_n} x$ is defined and denoted as: :$\ds \norm {\map {P_n} x} := \sqrt {\int_{-1}^1 \paren {\map {P_n} x}^2 \rd x}$ </onlyinclude> == Also see == * Length of Legendre Polynomial {{Link-to-category|Legendre Polynomials|Legendre polynomials}} == Sources == {...") | ||||
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16:37 | Definition:Legendre's Differential Equation 6 changes history +363 [Prime.mover (6×)] | |||
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| N 16:35 | Symbols:P/Legendre Polynomial diffhist +707 Prime.mover talk contribs (Created page with "== Legendre Polynomial of Order $n$ == <onlyinclude> :$\map {P_n} x$ {{:Definition:Legendre Polynomial}} {{LatexFor|for = \map {P_n} x}} </onlyinclude> == Sources == * {{BookReference|The Penguin Dictionary of Mathematics|1998|David Nelson|ed = 2nd|edpage = Second Edition|prev = Definition:Legendre's Differential Equation|next = Definition:Legendre Polynomial|entry = Legendre's differential equation}} * {{BookReference|The Penguin...") | ||||
| N 16:31 | Bonnet's Recursion Formula diffhist +396 Prime.mover talk contribs (Created page with "== Theorem == <onlyinclude> Let $\map {P_n} x$ denote the Legendre polynomial of order $n$. '''Bonnet's Recursion Formula''' states: :$\paren {n + 1} \map {P_{n + 1} } x = \paren {2 n + 1} x \map {P_n} x - n \map {P_{n - 1} } x$ </onlyinclude> == Proof == {{ProofWanted}} {{Namedfor|Pierre Ossian Bonnet|cat = Bonnet}} Category:Legendre Polynomials") | ||||
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15:54 | Mathematician:Adrien-Marie Legendre 3 changes history +66 [Prime.mover (3×)] | |||
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15:44 | Category:Legendre Polynomials 2 changes history +10 [Prime.mover (2×)] | |||
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15 May 2024
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14:16 | Book:David Nelson/The Penguin Dictionary of Mathematics/Fourth Edition 2 changes history +326 [Prime.mover (2×)] | |||
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14 May 2024
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m 21:09 | Book:David Nelson/The Penguin Dictionary of Mathematics/Fourth Edition 2 changes history +47 [Prime.mover (2×)] | |||
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13 May 2024
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16:31 | Book:David Nelson/The Penguin Dictionary of Mathematics/Fourth Edition 4 changes history +45 [Prime.mover (4×)] | |||
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