Sequences of numbers meet the generalized Gegenbauer-Humbert polynomials

DOI10.5402/2011/674167zbMath1301.33017OpenAlexW2040103457WikidataQ58689958 ScholiaQ58689958MaRDI QIDQ410665

Tian-Xiao He, Tsui-Wei Weng, Peter Jau-Shyong Shiue

Publication date: 3 April 2012

Published in: ISRN Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2011/674167

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Recurrences (11B37) Other special orthogonal polynomials and functions (33C47) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

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

Cites Work

• 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
• Cycle indicators and special functions
• The combinatorial power of the companion matrix
• Inverse series relations and other expansions involving Humbert polynomials
• Five-Diagonal Toeplitz Determinants an Their Relation to Chebyshev Polynomials
• Fibonacci, Chebyshev, and Orthogonal Polynomials
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