Mersenne-Horadam identities using generating functions

DOI10.15330/CMP.12.1.34-45zbMath1465.11059OpenAlexW3036967620MaRDI QIDQ5123196

Robert Frontczak, T. P. Goy

Publication date: 28 September 2020

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.12.1.34-45

zbMATH Keywords

generating functionFibonacci sequenceLucas sequenceMersenne numbersPell sequencebinomial transformHoradam sequence

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Factorization; primality (11A51)

Related Items (5)

Identities relating six members of the Fibonacci family of sequences ⋮ Chebyshev-Fibonacci polynomial relations using generating functions ⋮ A note on Pell-Padovan numbers and their connection with Fibonacci numbers ⋮ Unnamed Item ⋮ Special formulas involving polygonal numbers and Horadam numbers

Cites Work

• New integral functions generated by rising factorial powers
• On nonlocal boundary value problem for the equation of motion of a homogeneous elastic beam with pinned-pinned ends
• A note on Pell-Padovan numbers and their connection with Fibonacci numbers

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