Skip to main content
Article
Sequences of Non-Gegenbauer-Humbert Polynomials Meet the Generalized Gegenbauer-Humbert Polynomials
ISRN Algebra (2011)
  • Tian-Xiao He, Illinois Wesleyan University
  • Peter J.-S. Shiue
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.

Publication Date
Spring May, 2011
Publisher Statement
ISRN Algebra is published by Hindawi Publishing Corporation, http://www.hindawi.com/.
Citation Information
Tian-Xiao He and Peter J.-S. Shiue. "Sequences of Non-Gegenbauer-Humbert Polynomials Meet the Generalized Gegenbauer-Humbert Polynomials" ISRN Algebra Vol. 2011 (2011)
Available at: http://works.bepress.com/tian_xiao_he/20/