Results 61 to 70 of about 1,083 (122)
On the connection between tridiagonal matrices, Chebyshev polynomials, and Fibonacci numbers
Acta Universitatis Sapientiae: Mathematica, 2020 In this note, we recall several connections between the determinant of some tridiagonal matrices and the orthogonal polynomials allowing the relation between Chebyshev polynomials of second kind and Fibonacci numbers.
da Fonseca Carlos M.
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A generalization of Wolstenholme's harmonic series congruence [PDF]
arXiv, 2006 We give a generalization of Wolstenholme's harmonic series congruence for the Lucas sequences.
arxiv
On topological properties of spaces obtained by the double band matrix
Open Mathematics, 2017 Let λ denote any one of the spaces ℓ∞ and ℓp and λ(Ť) be the domain of the band matrix Ť. We study ℓp(Ť) for 1 ≤ p ≤ ∞ and give some inclusions and its topological properties.
Zeren Suzan, Bektaş Çiğdem
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Some results and conjectures about recurrence relations for certain sequences of binomial sums [PDF]
arXiv, 2006 We give some results and conjectures about recurrence relations for certain sequences of binomial sums.
arxiv
Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions
Open Mathematics, 2017 A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers.
Prodinger Helmut
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9 Divides no Odd Fibonacci [PDF]
arXiv, 2007 I discuss numbers that divide no odd Fibonacci. Number 9 plays a special role among such numbers.
arxiv
Some conjectures about q-Fibonacci polynomials [PDF]
arXiv, 2008 In this paper we state some conjectures about q-Fibonacci polynomials which for q=1 reduce to well-known results about Fibonacci numbers and Fibonacci polynomials.
arxiv
Recurrence relations for powers of q-Fibonacci polynomials [PDF]
arXiv, 2008 We derive some q-analogs of Euler-Cassini-type identities and of recurrence formulas for powers of Fibonacci polynomials.
arxiv
On Diophantine equations involving Lucas sequences
Open Mathematics, 2019 In this paper, we shall study the Diophantine equation un = R(m)P(m)Q(m), where un is a Lucas sequence and R, P and Q are polynomials (under weak assumptions).
Trojovský Pavel
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Padovan numbers which are palindromic concatenations of two distinct repdigits. [PDF]
Rev R Acad Cienc Exactas Fis Nat A Mat, 2021 Chalebgwa TP, Ddamulira M.
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