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On some combinatorial properties of bihyperbolic numbers of the Fibonacci type
Author(s) -
Bród Dorota,
SzynalLiana Anetta,
Włoch Iwona
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7054
Subject(s) - fibonacci number , mathematics , catalan number , fibonacci polynomials , generating function , pisano period , type (biology) , lucas number , combinatorics , recurrence relation , discrete mathematics , classical orthogonal polynomials , orthogonal polynomials , ecology , biology
In this paper, we give some properties of the bihyperbolic Fibonacci, Jacobsthal and Pell numbers, among others the Binet formula, Catalan, Cassini, and d'Ocagne identities. Moreover, we present the generating function and summation formulas for these numbers.