Generating functions for a class of q-polynomials

Simple item page
dc.contributor.authorSrivastava, H.M.
dc.contributor.authorAgarwal, A. K.
dc.date.accessioned2009-09-04T18:33:38Z
dc.date.available2009-09-04T18:33:38Z
dc.date.copyright1986en
dc.date.issued2009-09-04T18:33:38Z
dc.description.abstractSome simple ideas are used here to prove a theorem on generating functions for a certain class of q-polynomials. This general theorem is then applied to derive a fairly large number of known as well as new generating functions for the familiar q-analogues of various polynomial systems including, for example, the classical orthogonal polynomials of Hermite, Jacobi, and Laguerre. A number of other interesting consequences of the theorem are also discussed.en
dc.description.sponsorshipGovernment of India, Ministry of Education & Culture National Scholarship for Higher Study Abroad and NSERC Grant A7353en
dc.identifier.urihttp://hdl.handle.net/1828/1738
dc.language.isoenen
dc.relation.ispartofseriesDM-426-IRen
dc.subjectgenerating functions
dc.subjectq-polynomials
dc.subjectclassical orthogonal polynomials
dc.subjectq-series
dc.subjecthypergeometric identities
dc.subjectquadratic transformations
dc.subjectspecial functions
dc.subjectq-Pfaff transformation
dc.subjectKummer's summation theorem
dc.subjectGauss's second theorem
dc.subjectPfaff-Saalschutz theorem
dc.subjectbasic (or q-) hypergeometric function
dc.subjectGaussian polynomial (or q-binomial coefficient)
dc.subjectq-binomial theorem
dc.subjectq-Laguerre polynomials
dc.subjectlittle q-Jacobi polynomials
dc.subjectq-Hahn polynomials
dc.subjectq-Meixner polynomials
dc.subjectq-Charlier polynomials
dc.subjectHeine's transformation
dc.subjectconfluent hypergeometric function
dc.subjectq-Hermite polynomials
dc.subjectq-summation formula
dc.subjectq-hypergeometric polynomials
dc.subjecttechnical reports (mathematics and statistics)
dc.subject.departmentDepartment of Mathematics
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleGenerating functions for a class of q-polynomialsen
dc.typeTechnical Reporten

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
DM 426.pdf
Size:
354.19 KB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.84 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Faculty and Staff Publications
 
University of Victoria Libraries

We acknowledge and respect the Lək̓ʷəŋən (Songhees and Esquimalt) Peoples on whose territory the university stands, and the Lək̓ʷəŋən and W̱SÁNEĆ Peoples whose historical relationships with the land continue to this day.