Results 51 to 60 of about 603,533 (300)
Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space
International 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
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Next-to-next-to-leading order QCD analysis of spin-dependent parton distribution functions and their uncertainties: Jacobi polynomials approach [PDF]
, 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]
Radioengineering, 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]
, 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
, 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
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Monotonicity of zeros of Jacobi polynomials
Journal 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
MathematicsIn 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
Abstract 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
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Non-symmetric Jacobi polynomials of type $BC_{1}$ as vector-valued polynomials Part 1: spherical functions [PDF]
arXiv, 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
Journal 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