Problem 43753. Laguerre Polynomial

Created by JD

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Create a square lower diagonal matrix containing the first n Laguerre Polynomial coefficients. For n=6, the Laguerre Matrix is:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[1  0  0  0  0  0  0\n1  1  0  0  0  0  0\n2  4  1  0  0  0  0\n6  18  9  1  0  0  0\n24  96  72  16  1  0  0\n120  600  600  200  25  1  0\n720  4320  5400  2400  450  36  1]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>See</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Laguerre_polynomials\"><w:r><w:t>Laguerre Polynomials</w:t></w:r></w:hyperlink><w:r><w:t> for more information.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

120 Solutions
15 Solvers

Last Solution submitted on Dec 30, 2020

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Rafael S.T. Vieira on 10 Sep 2020

The description should be fixed. It's actually requesting the first n-absolute values of laguerre polynomial coefficients.

Problem Recent Solvers15

Problem Tags

3functions laguerre polynomials pascal matrix

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 43753. Laguerre Polynomial

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers15

Suggested Problems

More from this Author11

Problem Tags

Community Treasure Hunt

Problem 43753. Laguerre Polynomial

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers15

Suggested Problems

More from this Author11

Problem Tags

Community Treasure Hunt

Players