Sequences of non-Gegenbauer-Humbert polynomials meet the generalized Gegenbauer-Humbert polynomials

DOI10.5402/2011/268096zbMath1221.33030OpenAlexW2148885192WikidataQ58689146 ScholiaQ58689146MaRDI QIDQ555237

Tian-Xiao He, Peter Jau-Shyong Shiue

Publication date: 22 July 2011

Published in: ISRN Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2011/268096

zbMATH Keywords

linear recurrencetransfer formulas

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items

On a class of generalized Humbert-Hermite polynomials via generalized Fibonacci polynomials, Generalized Humbert polynomials via generalized Fibonacci polynomials

Cites Work

• Sequences of numbers meet the generalized Gegenbauer-Humbert polynomials
• A symbolic operator approach to several summation formulas for power series. II
• On sequences of numbers and polynomials defined by linear recurrence relations of order 2
• Forbidden subsequences and Chebyshev polynomials
• Cycle indicators and special functions
• Inverse series relations and other expansions involving Humbert polynomials
• Five-Diagonal Toeplitz Determinants an Their Relation to Chebyshev Polynomials
• Fibonacci, Chebyshev, and Orthogonal Polynomials
• Inverse Relations and Combinatorial Identities
• Towards computerized proofs of identities
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