Results 41 to 50 of about 91 (72)
Identities Arising from Binomial-Like Formulas Involving Divisors of Numbers
Annales Mathematicae Silesianae, 2023 In this article, we derive a great number of identities involving the ω function counting distinct prime divisors of a given number n. These identities also include Pochhammer symbols, Fibonacci and Lucas numbers and many more.
Gryszka Karol
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On the sum of the reciprocals of k-generalized Fibonacci numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this note, we that if {Fn(k)}n≥0{\left\{ {F_n^{\left( k \right)}} \right\}_{n \ge 0}} denotes the k-generalized Fibonacci sequence then for n ≥ 2 the closest integer to the reciprocal of ∑m≥n1/Fm(k)\sum\nolimits_{m \ge n} {1/F_m^{\left( k \right)}} is
Alahmadi Adel, Luca Florian
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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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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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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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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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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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On The Jacobsthal-Padovan p-Sequences in Groups
Topological Algebra and its Applications, 2017 In [5], Deveci defined the Jacobsthal-Padovan p-sequence. In this paper,we extend this sequence to groups. Then we define the Jacobsthal-Padovan p-orbit and we study the Jacobsthal-Padovan p-orbits of the finite groups in detail.
Aküzüm Yesim, Deveci Ömür
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Analytic Properties of the Apostol-Vu Multiple Fibonacci Zeta Functions
Discussiones Mathematicae - General Algebra and Applications, 2020 In this note we study the analytic continuation of the Apostol-Vu multiple Fibonacci zeta functions ζAVF,k(s1,…,sk,sk+1)=∑1 ...
Dutta Utkal Keshari, Ray Prasanta Kumar
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Integers representable as differences of linear recurrence sequences. [PDF]
Res Number Theory, 2021 Tichy R, Vukusic I, Yang D, Ziegler V.
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