Results 11 to 20 of about 523 (200)
Lifespan Pancreas Morphology for Control Versus Type 2 Diabetes Using AI on Largescale Clinical Imaging. [PDF]
ABSTRACT Understanding how pancreas size and shape change with normal aging is critical for establishing a baseline to detect deviations in type 2 diabetes and other pancreatic disease. We measure pancreas size and shape using morphological measurements from early development through aging (ages 0–90).
Remedios LW +13 more
europepmc +2 more sources
This study employs Shifted Vieta-Lucas Polynomials using the variational iteration approach to numerically resolve sixth and seventh order Boundary Value Problems (BVPs), The proposed method in the study is used, with the trial functions for the ...
Ikechukwu Jackson Otaide +4 more
doaj +1 more source
In this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the ...
Boughaba Souhila +2 more
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On New Polynomial Sequences Constructed to Each Vertex in an n-Gon
In this work, we bring to light the properties of newly formed polynomial sequences at each vertex of Pell polynomial sequences placed clockwise at each vertex in the n-gon. We compute the relation among the polynomials with such vertices.
Abdul Hamid Ganie +3 more
doaj +1 more source
Cube Polynomial of Fibonacci and Lucas Cubes [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Klavžar, Sandi, Mollard, Michel
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Symmetric and generating functions of generalized (p,q)-numbers
In this paper, we first define new generalization for (p,q)-numbers. Considering these sequence, we give Binet's formulas and generating functions of (p,q)-Fibonacci numbers, (p,q)-Lucas numbers, (p,q)-Pell numbers, (p,q)-Pell Lucas numbers, (p,q ...
Nabiha Saba +2 more
doaj +1 more source
Melham's sums for some Lucas polynomial sequences [PDF]
A Lucas polynomial sequence is a pair of generalized polynomial sequences that satisfy the Lucas recurrence relation. Special cases include Fibonacci polynomials, Lucas polynomials, and Balancing polynomials.
Chan-Liang Chung, Chunmei Zhong
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A generalization of Lucas polynomial sequence
The authors consider the problem of a generalization of Lucas polynomial sequence. They obtain a generalized Lucas polynomial sequence from the lattice paths for the Delannoy numbers by allowing weights on the steps \((1,0),(0,1)\) and \((1,1)\).
Gi-Sang Cheon +2 more
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On generalized Lucas polynomials and Euler numbers [PDF]
In this paper we study the relationship between the generalized Lucas polynomials and the Euler numbers and give several interesting identities involving them.
Nalli, Ayse, Zhang, Tianping
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BıGaussian Pell and Pell-Lucas polynomials
In this paper, we define biGaussian Pell and Pell-Lucas Polynomials. We give Binet‘s formulas, generating functions, Catalan’s identities, Cassini’s identities for these polynomials. Matrix presentations of biGaussian Pell and Pell-Lucas polynomials are found. Also, NegabiGaussian Pell and Pell-Lucas Polynomials are defined.
Özkan, E., Alp, T.
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