Results 71 to 80 of about 1,467 (207)

Fibonacci and lucas numbers and their binomial properties [PDF]

, 2020
Yüksek Lisans TeziBu çalışmada, Fibonacci ve Lucas sayıları ile ilgili tanımlar verilmiş ve bu sayıların binomial özellikleri incelenmiştir. Birinci bölümde, Fibonacci sayılarının tarihçesinden bahsedilmiş, Fibonacci ve Lucas sayılarıyla ilgili ...
Yasagan, Musa
core   +2 more sources

A Hybrid Matrix–Based Encoding Scheme With Error Detection via Third‐Order Recurrences

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we propose a novel encoding–decoding algorithm based on third‐order linear recurrence sequences and their associated matrix representations. In particular, third‐order Jacobsthal and third‐order Jacobsthal–Lucas matrix sequences are combined with Padovan and Perrin matrix sequences to construct a hybrid block–based coding scheme.
Sukran Uygun, Smritijit Sen
wiley   +1 more source

More identities on Fibonacci and Lucas hybrid numbers

, 2021
WOS:000665848000017We give several identities about Fibonacci and Lucas hybrid numbers. We introduce the Fibonacci and Lucas hybrid numbers with negative subscripts.
Yılmaz, Nazmiye
core   +1 more source

Coefficient Bounds and Fekete–Szegö Inequalities for a New Family of Bi‐Univalent Functions Associated With Horadam Polynomial

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We define in this paper a new class of normalized bi‐univalent functions through Horadam polynomials. The main aim of this paper is to provide sharp estimates for the second and third Taylor–Maclaurin coefficients of functions in this new class. We also obtain the Fekete–Szegö inequality for these functions.
Musthafa Ibrahim, Jihad Younis, Ali N. A. Koam, Mohammad Uzair Shah, Smritijit Sen   +4 more
wiley   +1 more source

High‐resolution X‐ray scanning with a diffuse Huffman‐patterned probe to reduce radiation damage

Journal of Synchrotron Radiation, Volume 32, Issue 3, Page 700-717, May 2025.
This paper introduces high‐resolution imaging using diffuse probes, which allow for lower energy deposition per unit area per unit time, by encoding Huffman‐like patterns onto them, enabling a tighter impulse response. The approach, demonstrated in X‐ray imaging, involves using specially fabricated masks to shape the probe and recover sharp object ...
Alaleh Aminzadeh, Andrew M. Kingston, Lindon Roberts, David M. Paganin, Timothy C. Petersen, Imants D. Svalbe   +5 more
wiley   +1 more source

On some links between the generalised Lucas pseudoprimes of level k

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
Pseudoprimes are composite integers sharing behaviours of the prime numbers, often used in practical applications like public-key cryptography. Many pseudoprimality notions known in the literature are defined by recurrent sequences.
Andrica Dorin, Bagdasar Ovidiu, Rassias Michael Th.   +2 more
doaj   +1 more source

On Mixed Concatenations of Fibonacci and Lucas Numbers Which are Fibonacci Numbers

, 2022
Let $(F_n)_{n\geq 0}$ and $(L_n)_{n\geq 0}$ be the Fibonacci and Lucas sequences, respectively. In this paper we determine all Fibonacci numbers which are mixed concatenations of a Fibonacci and a Lucas numbers. By mixed concatenations of $ a $ and $ b $, we mean the both concatenations $\overline{ab}$ and $\overline{ba}$ together, where $ a $ and $ b $
Altassan, Alaa, Alan, Murat
openaire   +2 more sources

Some new identities for the sum of generalized Fibonacci numbers and generalized Lucas numbers [PDF]

Mathematica Moravica
Let UN and Vn denote the n-th generalized Fibonacci and generalized Lucas numbers, respectively. In this paper, we calculate the n-th powers of some square matrices by diagonalizing them with their eigenvalues and eigenvectors.
Lıman Gülsüm, Keskın Refık, Güney Merve   +2 more
doaj   +1 more source

Narayana Numbers With Zeckendorf Partition in Two Terms

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The Narayan’s cow sequence starts with the terms 1, 1, and 1. Each subsequent term is obtained as the sum of the previous term and the term three places before. A term of this sequence is called a Narayana number. The mathematician Zeckendorf proved that every positive integer has a unique decomposition into a sum of distinct and nonconsecutive ...
Japhet Odjoumani, Salifou Nikiema, Shikha Binwal   +2 more
wiley   +1 more source

Three new classes of binomial Fibonacci sums [PDF]

Transactions on Combinatorics
In this paper, we introduce three new classes of binomial sums involving Fibonacci (Lucas) numbers and weighted binomial coefficients. One particular result is linked to a problem proposal recently published in the journal The Fibonacci Quarterly.
Robert Frontczak
doaj   +1 more source