Results 51 to 60 of about 1,548,336 (157)

Sequential Properties over Negative Pauli Pascal Table

International Journal of Mathematics and Mathematical Sciences, 2020
For polynomials x+yi and x+y−i satisfying the noncommutative multiplication yx=−xy, let C−1 and N−1 be the arithmetic tables, respectively. We investigate sequential properties of various diagonal sums over the tables C−1 and N−1 and prove that they are ...
Eunmi Choi, Jiin Jo
doaj   +1 more source

Padovan and Perrin numbers of the form 7ᵗ-5ᶻ-3ʸ-2ˣ [PDF]

Notes on Number Theory and Discrete Mathematics
Consider the Padovan sequence (pₙ)ₙ≥₀ given by pₙ₊₃=pₙ₊₁+pₙ with p₀=p₁=p₂=1. Its companion sequence, the Perrin sequence (℘ₙ)ₙ≥₀, follows the same recursive formula as the Padovan numbers, but with different initial values: p₀=3, p₁=0 and p₂=2.
Djamel Bellaouar, Özen Özer, Noureddine Azzouza   +2 more
doaj   +1 more source

The Hybrid Numbers of Padovan and Some Identities

Annales Mathematicae Silesianae, 2020
In this article, we will define Padovan’s hybrid numbers, based on the new noncommutative numbering system studied by Özdemir ([7]). Such a system that is a set involving complex, hyperbolic and dual numbers.
Mangueira Milena Carolina dos Santos, Vieira Renata Passos Machado, Alves Francisco Régis Vieira, Catarino Paula Maria Machado Cruz   +3 more
doaj   +1 more source

On the Padovan sequence [PDF]

, 2013
U članku se najprije geometrijski definira prvih nekoliko članova Padovanova niza. Na temelju geometrijske motivacije niz se definira uobičajenom rekurzivnom relacijom te se izvodi zatvorena formula za opći član niza pomoću tzv.
Kovačić, Bojan, Marohnić, Luka, Opačić, Renata   +2 more
core   +1 more source

sequence of the hyperbolic k-Padovan quaternions

Malaya Journal of Matematik, 2023
This work introduces the hyperbolic k-Padovan quaternion sequence, performing the process of complexification of linear and recurrent sequences, more specifically of the generalized Padovan sequence. In this sense, there is the study of some properties around this sequence, deepening the investigative mathematical study of these numbers.
Renata Passos Machado Vieira, Francisco Regis Vieira Alves, Paula Maria Machado Cruz Catarino   +2 more
openaire   +1 more source

De Moivre-Type Identities for the Padovan Numbers [PDF]

, 2021
At this work, we give a method for constructing the Perrin and Padovan sequences and obtain the De Moivre-type identity for Padovan numbers. Also, we define a Padovan sequence with new initial conditions and find some identities between all of these ...
Akbıyık, Mücahit, Akbıyık, Seda Yamaç, Alo, Jeta   +2 more
core   +1 more source

Binomial Transforms of the Padovan and Perrin Matrix Sequences [PDF]

Abstract and Applied Analysis, 2013
We apply the binomial transforms to Padovan and Perrin matrix sequences. Also, the Binet formulas, summations, and generating functions of these transforms are found by recurrence relations. Finally, we illustrate the relations between these transforms by deriving new formulas.
Yilmaz, Nazmiye, Taskara, Necati
openaire   +3 more sources

Some infinite series summations involving linear recurrence relations of order 2 and 3 [PDF]

Notes on Number Theory and Discrete Mathematics
This paper extends known results of second and third order recursive sequences through extensive formulations of properties of the roots of their characteristic equations, some are old but most are new. They are applied to novel studies of Σₙ₌ₒ^∞ aₘₙ/10ⁿ⁺
Anthony G. Shannon, Peter J.-S. Shiue, Shen C. Huang, Ali Balooch, Yu-Chung Liu   +4 more
doaj   +1 more source

Widespread Lateral Transmission in Fergusonina Galling Flies (Diptera: Fergusoninidae) and Their Obligate Nematode Mutualists Does Not Preclude an Overall Pattern of Cospeciation

Ecology and Evolution, Volume 16, Issue 6, June 2026.
The biology of gall‐forming fergusoninid flies and their obligate nematode mutualists suggests strict vertical transmission of nematodes between fly generations. Using mitochondrial sequence data to associate fly and nematode haplotypes, we found widespread intraspecific horizontal transfer in multiple species.
Sonja J. Scheffer, Matthew L. Lewis, Kerrie A. Davies, Robin M. Giblin‐Davis, Gary S. Taylor, Leigh A. Nelson, Matthew F. Purcell, Jeff R. Makinson, Weimin Ye, Kevin E. Omland, David K. Yeates   +10 more
wiley   +1 more source

Novel Models to Estimate In‐Plane Solar Radiation and Optimize Multi‐Row Solar Panels Deployment Under Shading Conditions

IET Renewable Power Generation, Volume 20, Issue 1, January/December 2026.
Methods to evaluate global radiation on the front side of the second row, accounting for direct shading and view factor masking effects, are developed. Moreover, the relationship between annual incident radiation on the second row and installation parameters such as tilt angle and space factor, is also discussed to maximize the regionally effective ...
Fen Li, Gaiping Sun, Jie Wu, Minhui Tan, Yang Cui, Xingwu Yang, Aifang Qu   +6 more
wiley   +1 more source