Results 21 to 30 of about 136,517 (223)

Asymptotics for Stieltjes polynomials, Padé-type approximants, and Gauss-Kronrod quadrature [PDF]

open access: yes, 2002
23 pages, 1 figure.-- MSC1991 codes: Primary: 41A21, 42C05; Secondary: 30E10.MR#: MR1894475 (2002m:41021)Zbl#: Zbl 1020.41019We study the asymptotic properties of Stieltjes polynomials outside the support of the measure as well as the asymptotic ...
López Lagomasino, Guillermo   +11 more
core   +1 more source

Thermal Thresholds and Genetic Sensitivity in Barrel Racing Performance of Quarter Horses Across Temperature-Humidity Indices. [PDF]

open access: yesJ Anim Breed Genet
ABSTRACT Heat stress is an increasingly important challenge for the performance and welfare of equine athletes, particularly in competitions conducted across diverse climatic conditions. Understanding the genetic basis of performance responses to increasing thermal load is therefore essential to support robust genetic evaluation and sustainable ...
Santana ML, Bignardi AB.
europepmc   +2 more sources

Orthogonal Polynomials and Related Special Functions Applied in Geosciences and Engineering Computations

open access: yesCommunications, 2010
In applications of mathematics involving either the Laplace or the Helmholtz equation in spherical coordinates the associated Legendre equation occurs. Its solutions are called associated Legendre functions. They have some relations to classical Legendre
Vladimir Guldan, Mariana Marcokova
doaj   +1 more source

Some applications of Legendre numbers

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1988
The associated Legendre functions are defined using the Legendre numbers. From these the associated Legendre polynomials are obtained and the derivatives of these polynomials at x=0 are derived by using properties of the Legendre numbers.
Paul W. Haggard
doaj   +1 more source

Superiority of legendre polynomials to Chebyshev polynomial in solving ordinary differential equation

open access: yesJournal of Applied Sciences and Environmental Management, 2006
In this paper, we proved the superiority of Legendre polynomial to Chebyshev polynomial in solving first order ordinary differential equation with rational coefficient.
FO Akinpelu, LA Adetunde, EO Omidiora
doaj   +1 more source

Certain integrals involving generalized Mittag-Leffler type functions

open access: yesVojnotehnički Glasnik, 2022
Introduction/purpose: Certain integrals involving the generalized MittagLeffler function with different types of polynomials are established. Methods: The properties of the generalized Mittag-Leffler function are used in conjunction with different ...
Sirazul Haq   +3 more
doaj   +1 more source

Integrals of Legendre polynomials and approximations

open access: yesCoRR
We derive some identities and relations and extremal problems and minimization and Fourier development involving of integral Legendre polynomials.
Rehouma, Abdelhamid
openaire   +3 more sources

Some results for sums of products of Chebyshev and Legendre polynomials

open access: yesAdvances in Difference Equations, 2019
In this paper, we perform a further investigation of the Gegenbauer polynomials, the Chebyshev polynomials of the first and second kinds and the Legendre polynomials.
Yuan He
doaj   +1 more source

q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers [PDF]

open access: yes, 2016
We introduce, characterise and provide a combinatorial interpretation for the so-called q-Jacobi–Stirling numbers. This study is motivated by their key role in the (reciprocal) expansion of any power of a second order q-differential operator having the
Zeng, Jiang   +5 more
core   +1 more source

Numerical Solution via Operational Matrix for Solving Prabhakar Fractional Differential Equations

open access: yesJournal of Mathematics, 2022
In this work, we apply the operational matrix based on shifted Legendre polynomials for solving Prabhakar fractional differential equations. The Prabhakar derivative is defined in three-parameter Mittag-Leffler function. We achieve this by first deriving
Farah Suraya Md Nasrudin, Chang Phang
doaj   +1 more source

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