Results 271 to 280 of about 71,161 (303)

Estimates of Genetic Parameters, Growth Curve, and Environmental Effects for Nellore Cattle in the Pantanal. [PDF]

open access: yesVet Sci
Vaz KM   +9 more
europepmc   +1 more source

Multiplication theorems for orthogonal polynomials [PDF]

open access: possibleInternational Journal of Quantum Chemistry, 1993
AbstractIn this paper, a general method is presented that allows the derivation of the expansion coefficients of the product of two orthogonal functions provided the generating function is known. For the three classical orthogonal polynomials, the Laguerre, the Hermite, and the Legendre polynomials, the coefficients blmn with ϕmϕn = ∑lblmnϕl are ...
Heinz Kleindienst, Arne Lüchow
openaire   +1 more source

Orthogonal Polynomials and Approximate Multiple Integration

SIAM Journal on Numerical Analysis, 1971
Let \(R_n\) denote an \(n\)-dimensional region and \(w\) a weight function defined on \(R_n\). This paper is concerned with the existence and construction of approximations of the type \(\int_{R_n} wf\cong \sum_{k=1}^N A_kf(\mu_k)\), where the approximation is precise for polynomials up to a certain degree.
openaire   +2 more sources

Multiplication of Generalized Polynomials, with Applications to Classical Orthogonal Polynomials

SIAM Journal on Algebraic Discrete Methods, 1984
The author considers the problem of writing the product of two polynomials as the sum of other polynomials. The polynomials are given as the sum of orthogonal polynomials, and he uses the comrade matrix to encode some of the calculations. The calculations are done directly using the three term recurrence relation rather than using powers of x as an ...
openaire   +2 more sources

Multiple input orthogonal polynomial parameter estimation

Mechanical Systems and Signal Processing, 1987
The object of this paper is the development of a so-called global modal parameter estimation technique capable of analyzing frequency response functions (FRFs) between several input and response stations simultaneously. The technique analyses the FRFs in their natural domain, the frequency domain.
H. Van der Auweraer, J Leuridan
openaire   +3 more sources

Multiple orthogonal polynomials on the semicircle and applications

Applied Mathematics and Computation, 2014
In this paper two types of multiple orthogonal polynomials on the semicircle with respect to a set of r different weight functions are defined. Such polynomials are generalizations of polynomials orthogonal on the semicircle with respect to a complex-valued inner product [f,g][email protected]!"0^@pfe^i^@qge^i^@qwe^i^@[email protected] The existence ...
openaire   +2 more sources

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