Problem 161. Wilf-Zeilberger pairs

Created by the cyclist

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>Take as inputs two functions</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>F</w:t></w:r><w:r><w:t> and</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>G</w:t></w:r><w:r><w:t>, and two scalar values</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>n</w:t></w:r><w:r><w:t> and</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>k</w:t></w:r><w:r><w:t>. Test whether the functions are candidates to be a Wilf-Zeilberger pair (</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://mathworld.wolfram.com/Wilf-ZeilbergerPair.html\"><w:r><w:t>http://mathworld.wolfram.com/Wilf-ZeilbergerPair.html</w:t></w:r></w:hyperlink><w:r><w:t> ), based the test values of n and</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>k</w:t></w:r><w:r><w:t>. (It's not a very stringent test!) Return logical true if F and G might be a WZ pair, and false if they cannot be.</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

207 Solutions
64 Solvers

Last Solution submitted on Aug 25, 2020

Last 200 Solutions

Problem Comments

Solution Comments

Solution 13011

3 Comments

3 Comments

the cyclist on 29 Jan 2012

Uses test cases to cheat.

the cyclist on 29 Jan 2012

Added test cases to defeat this solution.

Ned Gulley on 30 Jan 2012

Hooray for upgradable tests! Glad you plugged the hole.

Problem Recent Solvers64

Problem Tags

wilf zeilberger wilf-zeilberger

Problem 161. Wilf-Zeilberger pairs

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers64

Suggested Problems

More from this Author23

Problem Tags

Problem 161. Wilf-Zeilberger pairs

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers64

Suggested Problems

More from this Author23

Problem Tags

Players