Sequences of Non-Gegenbauer-Humbert Polynomials Meet the Generalized Gegenbauer-Humbert Polynomials. (30th June 2011)

• Record Type: Journal Article
• Authors: He, Tian-Xiao; Shiue, Peter J.-S.
• Other Names: Kittaneh F. Academic Editor.; Vinet L. Academic Editor.; Vourdas A. Academic Editor.
• Is Part Of: ISRN algebra. Volume 2011(2011)
• Publication Date: 2011-06-30
• Subjects: Algebra -- Periodicals; Algebra; Periodicals; Electronic journals; 512
• DOI: 10.5402/2011/268096
• Languages: English
• ISSNs: 2090-6285

Abstract

Abstract : Here, we present a connection between a sequence of polynomials generated by a linear recurrence relation of order 2 and sequences of the generalized Gegenbauer-Humbert polynomials. Many new and known transfer formulas between non-Gegenbauer-Humbert polynomials and generalized Gegenbauer-Humbert polynomials are given. The applications of the relationship to the construction of identities of polynomial sequences defined by linear recurrence relations are also discussed.