Results 51 to 60 of about 1,668,226 (212)
On Generalizations of the Pell Sequence
, 2017 In this paper, we investigate the generalized Pell sequence, the generalized complex Pell sequence and the generalized dual Pell sequence using the Pell numbers. We obtain special cases of these sequences. Furthermore, we give recurrence relations, vectors, the silver ratio and Binet's formula for the above-investigated sequences.
KÖKLÜ, KEVSER +1 more
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The Generating Functions for Special Pringsheim Continued Fractions
Communications in Advanced Mathematical Sciences, 2020 In previous works, some relations between Pringsheim continued fractions and vertices of the paths of minimal length on the suborbital graphs $\mathrm{\mathbf{F}}_{u,N}$ were investigated.
Ali Hikmet Değer, Ümmügülsün Akbaba
doaj +1 more source
Sustainable Development, EarlyView.ABSTRACT Over recent decades, action‐oriented research has gained prominence in co‐producing actionable knowledge to drive transformative change toward sustainability. However, further methodological developments are needed to support the transition to the application phase of such knowledge.
María D. López‐Rodríguez +7 more
wiley +1 more source
The Properties of the Altered Pell and Pell Lucas Sequences
Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 The altered Pell and Pell Lucas sequences are defined by altering the Pell and Pell Lucas numbers, it is seen that they have similar properties to usual the Pell and Pell Lucas sequences. Thus, we study some recursive properties of the altered sequences. Further, the greatest common divisors (i.e.
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Markov Triples with Generalized Pell Numbers
Mathematics, 2023 For an integer k≥2, let (Pn(k))n be the k-generalized Pell sequence which starts with 0,…,0,1 (k terms), and each term afterwards is given by Pn(k)=2Pn−1(k)+Pn−2(k)+⋯+Pn−k(k). In this paper, we determine all solutions of the Markov equation x2+y2+z2=3xyz,
Julieth F. Ruiz +2 more
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Sustainable Development, EarlyView.ABSTRACT Climate change is frequently framed as a technical problem of emissions, risk, finance, adaptation planning, and institutional coordination. This critical integrative review, supported by scoping‐informed searching and transparent eligibility and synthesis procedures, examines how selected Indigenous relational literatures can deepen climate ...
Jacob Kwakye, Basin Nawai Sumaila
wiley +1 more source
Integrating multimodal data and machine learning for entrepreneurship research
Strategic Entrepreneurship Journal, EarlyView.Abstract Research Summary Extant research in neuroscience suggests that human perception is multimodal in nature—we model the world integrating diverse data sources such as sound, images, taste, and smell. Working in a dynamic environment, entrepreneurs are expected to draw on multimodal inputs in their decision making.
Yash Raj Shrestha, Vivianna Fang He
wiley +1 more source
AN INTEGRAL REPRESENTATION OF THE PELL NUMBERS AND THE PELL-LUCAS NUMBERS [PDF]
We report on an integral representation for the Pell sequence, Pell-Lucas sequence, Balancing sequence and Lucas-Balancing sequence. This integral representation is based on the generating function and the Binet-like formulas of the aforementioned ...
Nguyen Duc Sang, Luu Ba Thang
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Gaussian Pell-Lucas polynomials [PDF]
, 2019 Yağmur, Tülay ( Aksaray, Yazar )In this paper, we first define the Gaussian Pell-Lucas polynomial sequence. We then obtain Binet formula, generating function and determinantal representation of this sequence.
Yağmur, Tülay
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Aperiodic Diffractive Lenses Based on Lucas and Pell–Lucas Sequences for Controlled Multifocal Optical Fields [PDF]
EPJ Web of Conferences. In this work, two families of sequence-based diffractive lenses are presented and comparatively analyzed: Lucas diffractive lenses and Pell– Lucas diffractive lenses.
Furlan Walter D. +4 more
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