Results 71 to 80 of about 248,402 (331)

On a unified approach to homogeneous second-order linear difference equations with constant coefficients and some applications

Special Matrices
In this article, we establish a new closed formula for the solution of homogeneous second-order linear difference equations with constant coefficients by using matrix theory.
Kaddoura Issam, Mourad Bassam
doaj   +1 more source

On the Hyperbolic Leonardo and Hyperbolic Francois Quaternions

Journal of New Theory, 2023
In this paper, we present a new definition, referred to as the Francois sequence, related to the Lucas-like form of the Leonardo sequence. We also introduce the hyperbolic Leonardo and hyperbolic Francois quaternions.
Paula Maria Machado Cruz Catarino, Orhan Dışkaya, Hamza Menken   +2 more
doaj   +1 more source

Primitive Divisors of Lucas and Lehmer Sequences [PDF]

Mathematics of Computation, 1995
In this paper we prove that if n>30 030, then the nth element of any Lucas or Lehmer sequence has a primitive divisor.
openaire   +11 more sources

From the Discovery of the Giant Magnetocaloric Effect to the Development of High‐Power‐Density Systems

Advanced Materials Technologies, EarlyView.
The article overviews past and current efforts on caloric materials and systems, highlighting the contributions of Ames National Laboratory to the field. Solid‐state caloric heat pumping is an innovative method that can be implemented in a wide range of cooling and heating applications.
Agata Czernuszewicz, Yaroslav Mudryk, Jun Cui, Lucas Griffith, Duane D. Johnson, Julie Slaughter   +5 more
wiley   +1 more source

Unlocking Spin Dynamics: Spin‐Orbit Coupling Driven Spin State Interconversion in Carbazole‐Containing TADF Emitters

Advanced Optical Materials, EarlyView.
This study explores overlapping charge transport mechanisms in TADF materials and identifies spin‐orbit coupling as the dominant mechanism for triplet‐to‐singlet transition in carbazole‐based cyanoarene emitters. Computational investigations reveal a second spin‐orbit‐coupling‐mediated reverse intersystem crossing pathway, significantly enhancing the ...
Annika Morgenstern, Jonas Weiser, Lucas Schreier, Konstantin Gabel, Tom Gabler, Alexander Ehm, Daniel Beer, Nadine Schwierz, Ulrich T. Schwarz, Kirsten Zeitler, Carsten Deibel, Dietrich R. T. Zahn, Christian Wiebeler, Georgeta Salvan   +13 more
wiley   +1 more source

On the emergence of the Quanta Prime sequence

Arab Journal of Basic and Applied Sciences
This paper presents the Quanta Prime Sequence (QPS) and its foundational theorem, showcasing a unique class of polynomials with substantial implications.
Moustafa Ibrahim
doaj   +1 more source

On Hyperbolic Jacobsthal-Lucas Sequence

Fundamental Journal of Mathematics and Applications, 2022
In this study, we define the hyperbolic Jacobsthal-Lucas numbers and we obtain recurrence relations, Binet’s formula, generating function and the summation formulas for these numbers.
openaire   +4 more sources

Biochar‐Iron Oxide Composites for Adsorption of Chlorophenoxy Herbicides: Impact of Chlorine Substituents on Bath and Continuous Adsorption Performance

Advanced Sustainable Systems, EarlyView.
Iron oxide‐impregnated biochar from sugarcane bagasse exhibits remarkable efficiency in removing 2,4‐dichlorophenoxyacetic acid and chlorophenoxyacetic acid, offering a sustainable option for water purification. The material retains high performance under real conditions while meeting safety criteria for irrigation use. Distinct structural features and
Thamiris Ferreira Souza, Raphael Longuinhos Monteiro Lobato, Luisa Cardoso Maia, Lavínia Nunes Louzada, Maria Elisa Avila Faria, Lucas Ferreira Fernandes, Leandro Vinícius Alves Gurgel, Gabriel Max Dias Ferreira, Jenaina Ribeiro‐Soares, Guilherme Max Dias Ferreira   +9 more
wiley   +1 more source

Quaternion-Type Catalan Transforms of the ρ-Fibonacci and ρ-Lucas Numbers

Journal of Mathematics, 2023
In this paper, we define a new sequence called the quaternion-type Catalan sequence and give generating function, exponential representation, quaternionic Catalan matrix and its some properties.
Kübra Gül
doaj   +1 more source

Lucas congruences for the Ap\'ery numbers modulo $p^2$

, 2020
The sequence $A(n)_{n \geq 0}$ of Ap\'ery numbers can be interpolated to $\mathbb{C}$ by an entire function. We give a formula for the Taylor coefficients of this function, centered at the origin, as a $\mathbb{Z}$-linear combination of multiple zeta ...
Krattenthaler, Christian, Rowland, Eric, Yassawi, Reem   +2 more
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