Results 51 to 60 of about 973 (216)

Mind the Gap: Linking Refactorings and Code Smells in Elixir

Journal of Software: Evolution and Process, Volume 38, Issue 5, May 2026.
ABSTRACT Elixir is a functional programming language increasingly used in the industry to develop scalable and fault‐tolerant concurrent systems more easily and with fewer computational resources. In previous studies, we cataloged 35 code smells and 82 refactorings tailored for this language, validating them with over 300 experienced developers ...
Lucas Vegi, Marco Túlio Valente
wiley   +1 more source

On the Products of k-Fibonacci Numbers and k-Lucas Numbers

International Journal of Mathematics and Mathematical Sciences, 2014
In this paper we investigate some products of k-Fibonacci and k-Lucas numbers. We also present some generalized identities on the products of k-Fibonacci and k-Lucas numbers to establish connection formulas between them with the help of Binet's formula.
Bijendra Singh, Kiran Sisodiya, Farooq Ahmad   +2 more
doaj   +1 more source

The Fibonacci numbers of certain subgraphs of circulant graphs

AKCE International Journal of Graphs and Combinatorics, 2015
The Fibonacci number ℱ(G) of a graph G with vertex set V(G), is the total number of independent vertex sets S⊂V(G); recall that a set S⊂V(G) is said to be independent whenever for every two different vertices u,v∈S there is no edge between them.
Loiret Alejandría Dosal-Trujillo, Hortensia Galeana-Sánchez   +1 more
doaj   +1 more source

Total Variation Regularized GRACE(‐FO) Inversion

Journal of Geophysical Research: Solid Earth, Volume 131, Issue 5, May 2026.
Abstract Gravity estimation from satellite‐satellite tracking missions such as GRACE(‐FO) is an ill‐posed inverse problem. The conventional approach to regularized inversion of GRACE(‐FO) measurements uses L2 ${L}_{2}$‐Tikhonov regularization with a heuristic constraint matrix derived based on knowledge of spatiotemporal distribution of the signal ...
G. Jacob, S. Bettadpur, H. Save, P. Nagel, F. Wang   +4 more
wiley   +1 more source

Closed forms for finite sums of weighted products of generalized Fibonacci numbers [PDF]

, 2017
In this paper, we present closed forms for certain finite sums of weighted products of generalized Fibonacci numbers. Indeed, we present seven multi-parameter families of such finite sums, all of which we believe to be new. In each of these families, the
Melham, RS
core  

Generalized Fibonacci Numbers: Sum Formulas

, 2020
In this paper, closed forms of the summation formulas for generalized Fibonacci numbers are presented. As special cases, we give summation formulas of Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas numbers.
Yüksel Soykan
core   +1 more source

Some Properties of Generalized Apostol-Type Frobenius–Euler–Fibonacci Polynomials

Mathematics
In this paper, by using the Golden Calculus, we introduce the generalized Apostol-type Frobenius–Euler–Fibonacci polynomials and numbers; additionally, we obtain various fundamental identities and properties associated with these polynomials and numbers,
Maryam Salem Alatawi, Waseem Ahmad Khan, Can Kızılateş, Cheon Seoung Ryoo   +3 more
doaj   +1 more source

Hausdorff dimension of double‐base expansions and binary shifts with a hole

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract For two real bases q0,q1>1$q_0, q_1 > 1$, a binary sequence i1i2⋯∈{0,1}∞$i_1 i_2 \cdots \in \lbrace 0,1\rbrace ^\infty$ is the (q0,q1)$(q_0,q_1)$‐expansion of the number πq0,q1(i1i2⋯)=∑k=1∞ikqi1⋯qik.$$\begin{equation*} \pi _{q_0,q_1}(i_1 i_2 \cdots) = \sum _{k=1}^\infty \frac{i_k}{q_{i_1} \cdots q_{i_k}}.
Jian Lu, Wolfgang Steiner, Yuru Zou
wiley   +1 more source

Novel Expressions for Certain Generalized Leonardo Polynomials and Their Associated Numbers

Axioms
This article introduces new polynomials that extend the standard Leonardo numbers, generalizing Fibonacci and Lucas polynomials. A new power form representation is developed for these polynomials, which is crucial for deriving further formulas.
Waleed Mohamed Abd-Elhameed, Omar Mazen Alqubori, Abdulrahim A. Alluhaybi, Amr Kamel Amin   +3 more
doaj   +1 more source

Traces of Hecke operators on Drinfeld modular forms for GL2(Fq[T])$\operatorname{GL}_2(\mathbb {F}_q[T])$

Mathematika, Volume 72, Issue 2, April 2026.
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley   +1 more source