Some families of generating functions associated with orthogonal polynomials and other higher transcendental functions

Simple item page
dc.contributor.authorSrivastava, H.M.
dc.date.accessioned2022-11-12T14:18:20Z
dc.date.available2022-11-12T14:18:20Z
dc.date.copyright2022en_US
dc.date.issued2022
dc.description.abstractIn this invited survey-cum-expository review article, we present a brief and comprehensive account of some general families of linear and bilinear generating functions which are associated with orthogonal polynomials and such other higher transcendental functions as (for example) hypergeometric functions and hypergeometric polynomials in one, two and more variables. Many of the results as well as the methods and techniques used for their derivations, which are presented here, are intended to provide incentive and motivation for further research on the subject investigated in this article.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava, H. M. (2022). “Some families of generating functions associated with orthogonal polynomials and other higher transcendental functions.” Mathematics, 10(20), 3730. https://doi.org/10.3390/math10203730en_US
dc.identifier.urihttps://doi.org/10.3390/math10203730
dc.identifier.urihttp://hdl.handle.net/1828/14413
dc.language.isoenen_US
dc.publisherMathematicsen_US
dc.subjectlinear and bilinear generating functions
dc.subjectorthogonal polynomials
dc.subjectJacobi, Laguerre and Hermite polynomials
dc.subjectBessel polynomials
dc.subjecthigher transcendental functions
dc.subjectLagrange's expansion theorem
dc.subjectBailey's bilinear generating function
dc.subjectHille-Hardy formula
dc.subjectMehler's formula
dc.subjectoperational techniques
dc.subjectLaplace and inverse Laplace transforms
dc.subjectRiemann-Liouville fractional derivative
dc.subjecthypergeometric functions
dc.subjecthypergeometric polynomials
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleSome families of generating functions associated with orthogonal polynomials and other higher transcendental functionsen_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Srivastava_Hari_Mathematics_2022_11.pdf
Size:
445.46 KB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2 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.