scientific article; zbMATH DE number 7020685

zbMath1406.11014MaRDI QIDQ4621446

Esra Erkuş-Duman, Hakan Çiftçi

Publication date: 12 February 2019

Full work available at URL: http://www.pvamu.edu/aam/wp-content/uploads/sites/182/2018/12/10_R1127_AAM_Duman_Posted_121718_pp756_763.pdf

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zbMATH Keywords

recurrence relationhypergeometric differential equationGaussian functionFibonacci polynomialLucas polynomial

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Linear ordinary differential equations and systems (34A30) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• On the relation between FDTD and Fibonacci polynomials
• \(k\)-Lucas numbers and associated bipartite graphs
• A common generalization of convolved generalized Fibonacci and Lucas polynomials and its applications
• Generalized Humbert polynomials via generalized Fibonacci polynomials
• The Fibonacci identities of orthogonality
• On the irreducibility of Fibonacci and Lucas polynomials over finite fields
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