Genetic analysis of milk production traits of Tunisian Holsteins using random regression test-day model with Legendre polynomials. [PDF]
Ben Zaabza H, Ben Gara A, Rekik B.
europepmc +3 more sources
Adaptive back-stepping cancer control using Legendre polynomials. [PDF]
Khorashadizadeh S, Akbarzadeh Kalat A.
europepmc +3 more sources
Coordinating representation registers: linear algebra students' understanding of orthogonal Legendre polynomials in the inner product space ℙn in a technology-assisted learning environment [PDF]
The purpose of this research study was to understand how linear algebra students in a university in the United States make sense of the orthogonal Legendre polynomials as vectors of the inner product space ℙn in a DGS (Dynamic Geometry Software)-MATLAB ...
Günhan Caglayan
doaj +2 more sources
On the Expansion of Legendre Polynomials in Bicomplex Space and Coupling with Fractional Operators
In this paper, we introduce a novel version of the Legendre polynomials in the bicomplex system. We investigate the essential properties of the Legendre polynomial, focusing on its bicomplex structure, generating functions, orthogonality, and recurrence ...
Ahmed Bakhet +3 more
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Legendre polynomial transformation and energy-weighted random forests for sequential data classification. [PDF]
Olaniran OR +5 more
europepmc +2 more sources
In this paper, using the Mittag-Leffler-type Borel distribution, the authors introduce a new class of bi-Bazilevic functions de-fined in the open unit disc associated with Legendre polynomials, we find estimates for the general Taylor-Maclaurin coefficients ...
S. El-Deeb +2 more
semanticscholar +1 more source
On the Elementary Symmetric Polynomials and the Zeros of Legendre Polynomials
In this paper, we seek to present some new identities for the elementary symmetric polynomials and use these identities to construct new explicit formulas for the Legendre polynomials.
Maryam Salem Alatawi
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Associated Conformable Fractional Legendre Polynomials
Along with the work of Abul-Ez et al. [37], we introduce the associated conformable fractional Legendre polynomials (ACFLPs), from which the fractional differential equation of ACFLPs is established.
Haifa Shihab, Thair Younis Al-khayat
semanticscholar +1 more source
In this paper, block pulse functions and hybrid Legendre polynomials are introduced. The estimators of a function $f$ having first and second derivative belonging to $Lip_\alpha[a,b]$ class, $0 < \alpha \leq 1$, and $a$, $b$ are finite real numbers, by ...
S. Lal, V.K. Sharma
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Meshless local Petrov-Galerkin method for rotating Rayleigh beam using Chebyshev and Legendre polynomials [PDF]
The numerical solutions are obtained for rotating beams; the inclusion of centrifugal force term makes it difficult to get the analytical solutions. In this paper, we solve the free vibration problem of rotating Rayleigh beam using Chebyshev and Legendre
Vijay Panchore
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