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

Tian-Xiao He | Zendy; Peter J.-S. Shiue | Zendy

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

Author(s) -

Tian-Xiao He,

Peter J.-S. Shiue

Publication year - 2011

Publication title -

isrn algebra

Language(s) - English

Resource type - Journals

eISSN - 2090-6293

pISSN - 2090-6285

DOI - 10.5402/2011/268096

Subject(s) - gegenbauer polynomials , classical orthogonal polynomials , discrete orthogonal polynomials , wilson polynomials , orthogonal polynomials , difference polynomials , hahn polynomials , mathematics , jacobi polynomials , pure mathematics , algebra over a field

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.

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