Results 41 to 50 of about 14,680 (235)
New Bounds for Hahn and Krawtchouk Polynomials [PDF]
SIAM Journal on Mathematical Analysis, 1995 For the Hahn and Krawtchouk polynomials orthogonal on the set $\{0, \ldots,N\}$ new identities for the sum of squares are derived which generalize the trigonometric identity for the Chebyshev polynomials of the first and second kind. These results are applied in order to obtain conditions (on the degree of the polynomials) such that the polynomials are
openaire +2 more sources
پژوهشهای ریاضی, 2020 Introduction Despite wide applications of constant order fractional derivatives, some systems require the use of derivatives whose order changes with respect to other parameters.
Farideh Salehi +2 more
doaj
Some New Generating Functions for q-Hahn Polynomials
Journal of Applied Mathematics, 2014 We obtain some new generating functions for q-Hahn polynomials and give their proofs based on the homogeneous q-difference operator.
Yun Zhou, Qiu-Ming Luo
doaj +1 more source
On Perfectness of Systems of Weights Satisfying Pearson’s Equation with Nonstandard Parameters
Axioms, 2023 Measures generating classical orthogonal polynomials are determined by Pearson’s equation, whose parameters usually provide the positivity of the measures.
Alexander Aptekarev +2 more
doaj +1 more source
The multivariate Hahn polynomials and the singular oscillator [PDF]
, 2015 Karlin and McGregor's d-variable Hahn polynomials are shown to arise in the (d+1)-dimensional singular oscillator model as the overlap coefficients between bases associated to the separation of variables in Cartesian and hyperspherical coordinates. These
Genest, Vincent X., Vinet, Luc
core +1 more source
Comptes Rendus. MathématiqueWe give a new family of Karhunen-Loève expansions involving Hahn polynomials. This enables us to introduce discrete analogues of Watson statistics, and a test for uniformity on Johnson’s graphs. We use the fact that the zonal spherical functions on these
Pycke, Jean-Renaud
doaj +1 more source
The orthogonal Shmaliy polynomials are Hahn polynomials
, 2021 Morales-Mendoza et al. present in 2013 a new class of discrete orthogonal polynomials. They use these polynomials to design an unbiased FIR filter. In their paper they make the statement that a representation of the polynomials via hypergeometric functions is unknown. However Shakibaei Asli et al.
openaire +2 more sources
Multivariable q-Hahn polynomials as coupling coefficients for quantum algebra representations
International Journal of Mathematics and Mathematical Sciences, 2001 We study coupling coefficients for a multiple tensor product of highest weight representations of the SU(1,1) quantum group. These are multivariable generalizations of the q-Hahn polynomials.
Hjalmar Rosengren
doaj +1 more source
A [3]Rotaxane Containing {Ti7Ga} Rings Linking CuII: Synthesis, Structure, and Spectroscopic Studies
Chemistry – A European Journal, EarlyView.Extended hybrid inorganic‐organic [2]‐ and [3]‐rotaxanes are reported based on heterometallic rings with threads that link CuII complexes; the crystal structures are reported, and the solution behavior is investigated by double electron electron resonance spectroscopy methods.
Selena J. Lockyer +7 more
wiley +1 more source
Mathematics, 2022 As is well-known, unlike the one-dimensional case, there exist nonnegative polynomials in several real variables that are not sums of squares. First, we briefly review a method of approximating any real-valued nonnegative continuous compactly supported ...
Octav Olteanu
doaj +1 more source