The Askeyscheme of hypergeometric orthogonal polynomials and its qanalogue
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http://aw.twi.tudelft.nl/~koekoek/askey/  


Koekoek, Swarttouw; Delft University of Technology  
A 1998 report: definition, orthogonality relation, threeterm recurrence relation, second order differential or difference equation, forward and backward shift operator, Rodriguestype formula and generating functions of all classes of orthogonal polynomials; limit relations between different classes of orthogonal polynomials listed in the Askeyscheme; qanalogues of the polynomials in the Askeyscheme; limit relations between those basic hypergeometric orthogonal polynomials; and how the 'classical' hypergeometric orthogonal polynomials of the Askeyscheme can be obtained from their qanalogues.  


Levels:  College, Research 
Languages:  English 
Resource Types:  Articles 
Math Topics:  Calculus (Single Variable), Number Theory 
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