On sequences of numbers and polynomials defined by linear recurrence relations of order 2

DOI10.1155/2009/709386zbMath1193.11014OpenAlexW1975938117WikidataQ58648503 ScholiaQ58648503MaRDI QIDQ1035173

Tian-Xiao He, Peter Jau-Shyong Shiue

Publication date: 10 November 2009

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45736

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items

Row sums and alternating sums of Riordan arrays, Unnamed Item, On a class of generalized Humbert-Hermite polynomials via generalized Fibonacci polynomials, Sequences of numbers meet the generalized Gegenbauer-Humbert polynomials, Unnamed Item, Generalized Humbert polynomials via generalized Fibonacci polynomials, Sequences of non-Gegenbauer-Humbert polynomials meet the generalized Gegenbauer-Humbert polynomials, A method for obtaining Fibonacci identities, Identities for linear recursive sequences of order 2, Recursive sequences and Girard-Waring identities with applications in sequence transformation, Unnamed Item

Cites Work

• A symbolic operator approach to several summation formulas for power series. II
• The combinatorial power of the companion matrix
• Inverse series relations and other expansions involving Humbert polynomials
• Fibonacci, Chebyshev, and Orthogonal Polynomials
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