Results 51 to 60 of about 603,533 (300)

Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
A new method for constructing Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space is presented. In earlier research, we only dealt with scalar-valued weight functions.
Fred Brackx   +2 more
doaj   +1 more source

Next-to-next-to-leading order QCD analysis of spin-dependent parton distribution functions and their uncertainties: Jacobi polynomials approach [PDF]

open access: yes, 2016
We present a first QCD analysis of next-to-next-leading-order (NNLO) contributions of the spin-dependent parton distribution functions (PPDFs) in the nucleon and their uncertainties using the Jacobi polynomial approach.
F. T. Shahri   +3 more
semanticscholar   +1 more source

Chained-Function Filter Synthesis Based on the Modified Jacobi Polynomials [PDF]

open access: yesRadioengineering, 2018
A new class of filter functions with pass-band ripple which derives its origin from a method of determining the chained function lowpass filters described by Guglielmi and Connor is introduced.
G. Perenic   +3 more
doaj  

Onsager's algebra and partially orthogonal polynomials [PDF]

open access: yes, 2002
The energy eigenvalues of the superintegrable chiral Potts model are determined by the zeros of special polynomials which define finite representations of Onsager's algebra. The polynomials determining the low-sector eigenvalues have been given by Baxter
Albertini G., Dolan L., G. VON GEHLEN
core   +2 more sources

Mehler-Heine asymptotics for multiple orthogonal polynomials

open access: yes, 2016
Mehler-Heine asymptotics describe the behavior of orthogonal polynomials near the edges of the interval where the orthogonality measure is supported. For Jacobi polynomials and Laguerre polynomials this asymptotic behavior near the hard edge involves ...
Van Assche, Walter
core   +1 more source

Monotonicity of zeros of Jacobi polynomials

open access: yesJournal of Approximation Theory, 2007
AbstractDenote by xnk(α,β), k=1,…,n, the zeros of the Jacobi polynomial Pn(α,β)(x). It is well known that xnk(α,β) are increasing functions of β and decreasing functions of α. In this paper we investigate the question of how fast the functions 1-xnk(α,β) decrease as β increases.
Dimitrov, Dimitar K.   +1 more
openaire   +3 more sources

On the Integral Representation of Jacobi Polynomials

open access: yesMathematics
In this paper, we present a new integral representation for the Jacobi polynomials that follows from Koornwinder’s representation by introducing a suitable new form of Euler’s formula.
Enrico De Micheli
doaj   +1 more source

Extended Jacobi Functions via Riemann-Liouville Fractional Derivative

open access: yesAbstract and Applied Analysis, 2013
By means of the Riemann-Liouville fractional calculus, extended Jacobi functions are de…fined and some of their properties are obtained. Then, we compare some properties of the extended Jacobi functions extended Jacobi polynomials.
Bayram Çekim, Esra Erkuş-Duman
doaj   +1 more source

Non-symmetric Jacobi polynomials of type $BC_{1}$ as vector-valued polynomials Part 1: spherical functions [PDF]

open access: yesarXiv, 2023
We study non-symmetric Jacobi polynomials of type $BC_{1}$ by means of vector-valued and matrix-valued orthogonal polynomials. The interpretation as matrix-valued orthogonal polynomials yields a new expression of the non-symmetric Jacobi polynomials of type $BC_1$ in terms of the symmetric Jacobi polynomials of type $BC_{1}$.
arxiv  

Jacobi Polynomial Expansions

open access: yesJournal of Mathematical Analysis and Applications, 1994
AbstractThe differential operator generated by the Jacobi differential equation (1 − x2) y″ + [β − α − (α + β + 2)x]y′ + n(α + β + n + l) y = 0, x ∈ [− 1, 1]is considered for all α and β in both the right and left definite spaces. Shifted Jacobi operators when α < 1, β > − 1, when α > − 1, β < 1, and when α < 1, β − 1, β > − 1 are introduced.
openaire   +2 more sources

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