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In mathematics, the '''big ''q''-Laguerre polynomials'''  are a family of basic hypergeometric [[orthogonal polynomials]] in the basic [[Askey scheme]]. {{harvs|txt | last1=Koekoek | first1=Roelof | last2=Lesky | first2=Peter A. | last3=Swarttouw | first3=René F. | title=Hypergeometric orthogonal polynomials and their q-analogues | doi=10.1007/978-3-642-05014-5 | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=Springer Monographs in Mathematics | isbn=978-3-642-05013-8 | doi=10.1007/978-3-642-05014-5 | mr=2656096 | year=2010|loc=14}} give a detailed list of their properties.
Cigarettes [http://beldom.ru/wiki/index.php/The_Best_Tips_On_Realistic_Tactics_In_Electronic_Cigarette electronic cigarette] contain one of the smoking cartridge. The companies receiving warning letters are E-Cigarette Direct LLC, based in Beijing, China. Those who want to inhale smoke and you do not emit a consistent enjoyable vaping experience.
 
==Definition==
 
The polynomials are given in terms of [[basic hypergeometric function]]s and the [[Pochhammer symbol]] by
:<math>\displaystyle    </math>
 
==Orthogonality==
{{Empty section|date=September 2011}}
 
==Recurrence and difference relations==
{{Empty section|date=September 2011}}
 
==Rodrigues formula==
{{Empty section|date=September 2011}}
 
==Generating function==
{{Empty section|date=September 2011}}
 
==Relation to other polynomials==
{{Empty section|date=September 2011}}
 
==References==
 
*{{Citation | last1=Gasper | first1=George | last2=Rahman | first2=Mizan | title=Basic hypergeometric series | publisher=[[Cambridge University Press]] | edition=2nd | series=Encyclopedia of Mathematics and its Applications | isbn=978-0-521-83357-8 | doi=10.2277/0521833574 | mr=2128719 | year=2004 | volume=96}}
*{{Citation | last1=Koekoek | first1=Roelof | last2=Lesky | first2=Peter A. | last3=Swarttouw | first3=René F. | title=Hypergeometric orthogonal polynomials and their q-analogues | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=Springer Monographs in Mathematics | isbn=978-3-642-05013-8 | doi=10.1007/978-3-642-05014-5 | mr=2656096 | year=2010}}
*{{dlmf|id=18|title=|first=Tom H. |last=Koornwinder|first2=Roderick S. C.|last2= Wong|first3=Roelof |last3=Koekoek||first4=René F. |last4=Swarttouw}}
 
[[Category:Orthogonal polynomials]]
[[Category:Q-analogs]]
[[Category:Special hypergeometric functions]]

Latest revision as of 20:47, 20 December 2014

Cigarettes electronic cigarette contain one of the smoking cartridge. The companies receiving warning letters are E-Cigarette Direct LLC, based in Beijing, China. Those who want to inhale smoke and you do not emit a consistent enjoyable vaping experience.