Sequences of Non-Gegenbauer-Humbert Polynomials Meet the Generalized Gegenbauer-Humbert Polynomials

Tian-Xiao He, Peter J.-S. Shiue

Research output: Journal ArticleArticlepeer-review


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.

Original languageAmerican English
JournalISRN Algebra
StatePublished - May 2011


  • Applied Mathematics
  • Mathematics

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