Results 81 to 90 of about 516,382 (294)

On the Generalized Class of Multivariable Humbert-Type Polynomials

International Journal of Mathematics and Mathematical Sciences
The present paper deals with the class of multivariable Humbert polynomials having generalization of some well-known polynomials like Gegenbauer, Legendre, Chebyshev, Gould, Sinha, Milovanović-Djordjević, Horadam, Horadam-Pethe, Pathan and Khan, a class ...
B. B. Jaimini, null Meenu, S. D. Purohit, D. L. Suthar   +3 more
doaj   +1 more source

Lie-algebraic discretization of differential equations

, 1995
A certain representation for the Heisenberg algebra in finite-difference operators is established. The Lie-algebraic procedure of discretization of differential equations with isospectral property is proposed. Using $sl_2$-algebra based approach, (quasi)-
Smirnov, Yuri, Turbiner, Alexander
core   +1 more source

Approximate solutions of a sum-type fractional integro-differential equation by using Chebyshev and Legendre polynomials

, 2017
We investigate the existence of solutions for a sum-type fractional integro-differential problem via the Caputo differentiation. By using the shifted Legendre and Chebyshev polynomials, we provide a numerical method for finding solutions for the problem.
Eisa Akbari Kojabad, S. Rezapour
semanticscholar   +1 more source

Genomic Prediction and Genome‐Wide Association Analysis of Heat Tolerance for Milk Yield in Buffaloes Using a Reaction Norm Model

Journal of Animal Breeding and Genetics, EarlyView.
ABSTRACT The aim of this study was to evaluate the impact of incorporating genomic information on the estimation of genetic (co)variance components and the accuracy of breeding values for milk yield under varying thermal environments, and to identify SNPs associated with genes that play significant roles in heat tolerance.
Gabriela Stefani, Mário Luiz Santana, Lenira El Faro, Humberto Tonhati   +3 more
wiley   +1 more source

Collocation Method via Jacobi Polynomials for Solving Nonlinear Ordinary Differential Equations

International Journal of Mathematics and Mathematical Sciences, 2011
We extend a collocation method for solving a nonlinear ordinary differential equation (ODE) via Jacobi polynomials. To date, researchers usually use Chebyshev or Legendre collocation method for solving problems in
Ahmad Imani, Azim Aminataei, Ali Imani
doaj   +1 more source

Legendre Polynomials Roots and the $F$-Pure Threshold of bivariate Forms

, 2020
We provide a direct computation of the $F$-pure threshold of degree four homogeneous polynomial in two variables and, more generally, of certain homogeneous polynomials with four distinct roots.
Pagi, Gilad
core  

Computer program ETC improves computation of elastic transfer matrices of Legendre polynomials P/0/ and P/1/ [PDF]

, 1967
Computer program ETC improves computation of elastic transfer matrices of Legendre polynomials P/0/ and P/1/. Rather than carrying out a double integration numerically, one of the integrations is accomplished analytically and the numerical integration ...
Gibson, G., Miller, M.
core   +1 more source

Generalized q-Legendre polynomials

Journal of Computational and Applied Mathematics, 1993
The author finds the polynomials \(u_ n\) satisfying the 3-term recursion: \[ (1-q^{n+1}) (1+q^ n) u_{n+1} - f_ nu_ n + q^{2n- 1} (1-q^ n) (1+q^{N+1}) u_{n-1} = 0, \] where \[ f_ n = (1- q^{2n+1}) \left( 2q^ n-(1+q^ n) (1+q^{n+1}) \sum_{j=0}^ nq^{-jn} \left[ {n \over j} \right]_ q \left[ {n+j \over j} \right]_ qx_ j \right). \] For \(x_ 0=x\), \(x_ j=0\
openaire   +2 more sources

Application of Genomic Random Regression Models for Genetic Parameter Estimations of Female Fertility Traits in Different Parities in German Holsteins

Journal of Animal Breeding and Genetics, EarlyView.
ABSTRACT The aim of the present study was to infer genetic (co) variance components and to estimate parity‐specific breeding values for the female fertility traits non‐return rate after 56 days, the interval from calving to first service and days open by applying random regression models on a time‐dependent parity scale. In this regard, we considered a
Sina Sakhaei‐far, Tong Yin, Sven König   +2 more
wiley   +1 more source

A Mixture Transition Distribution Modeling for Higher‐Order Circular Markov Processes

Journal of Time Series Analysis, EarlyView.
ABSTRACT This study considers the stationary higher‐order Markov process for circular data by employing the mixture transition distribution modeling. The underlying circular transition distribution is based on Wehrly and Johnson's bivariate joint circular models.
Hiroaki Ogata, Takayuki Shiohama
wiley   +1 more source