scientific article; zbMATH DE number 7619480

MaRDI QIDQ5050629

Ali Boussayoud, Hind Merzouk, Nabiha Saba, Souhila Boughaba

Publication date: 17 November 2022

Full work available at URL: http://trans.imm.az/volumes/41-1/4101-05.pdf

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zbMATH Keywords

generating functionssymmetric functionsGaussian Fibonacci numbersGaussian Pell numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Symmetric functions and generalizations (05E05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Novel identities involving Genocchi numbers and polynomials arising from applications of umbral calculus
• Application of a composition of generating functions for obtaining explicit formulas of polynomials
• Incomplete Fibonacci and Lucas \(p\)-numbers
• On \(k\)-Fibonacci sequences and polynomials and their derivatives
• Incomplete generalized Jacobsthal and Jacobsthal-Lucas numbers
• Generalization of the Euler transformation of a formal series
• Generalization of identities of Carlitz, Howard, and Lehmer
• Generating functions of the incomplete Fibonacci and Lucas numbers
• Representation by Chebyshev polynomials for sums of finite products of Chebyshev polynomials
• Generating functions for powers of a certain generalized sequence of numbers
• On the Fibonacci \(k\)-numbers
• The \(k\)-Fibonacci sequence and the Pascal 2-triangle
• SYMMETRIC AND GENERATING FUNCTIONS
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