Results 41 to 50 of about 619 (209)

Bispectrality of the Complementary Bannai-Ito Polynomials

Symmetry, Integrability and Geometry: Methods and Applications, 2013
A one-parameter family of operators that have the complementary Bannai-Ito (CBI) polynomials as eigenfunctions is obtained. The CBI polynomials are the kernel partners of the Bannai-Ito polynomials and also correspond to a q→−1 limit of the Askey-Wilson ...
Vincent X. Genest, Luc Vinet, Alexei Zhedanov   +2 more
doaj   +1 more source

A Hahn-Banach theorem for integral polynomials [PDF]

Proceedings of the American Mathematical Society, 1999
Fil: Carando, Daniel. Universidad de San Andres. Departamento de Matematica y Ciencias; Argentina.
Ignacio Zalduendo, Daniel Carando
openaire   +2 more sources

New Karhunen-Loève expansions based on Hahn polynomials with application to a Sobolev test for uniformity on Johnson graphs

Comptes Rendus. Mathématique
We 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

Markov Moment Problem and Sandwich Conditions on Bounded Linear Operators in Terms of Quadratic Forms

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

Paramagnetic Probing of Humic Acid Supramolecular Structure: Iron (III)–Induced Rearrangements Revealed by Solid‐State 13C NMR Spectroscopy

Magnetic Resonance in Chemistry, EarlyView.
Fe (III) complexation induces conformational compaction of humic acid by selectively rigidifying carboxyl and aromatic domains. Solid‐state 13C NMR relaxation (TCH and T₁ρ[H]) reveals domain‐specific dynamics, supporting a supramolecular model, where Fe (III) acts as a molecular cross‐linker in natural organic matter.
Pellegrino Conte, Calogero Librici
wiley   +1 more source

On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials

Symmetry, Integrability and Geometry: Methods and Applications, 2011
A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials.
Tom H. Koornwinder
doaj   +1 more source

Spectral Transformations and Associated Linear Functionals of the First Kind

Axioms, 2021
Given a quasi-definite linear functional u in the linear space of polynomials with complex coefficients, let us consider the corresponding sequence of monic orthogonal polynomials (SMOP in short) (Pn)n≥0.
Juan Carlos García-Ardila, Francisco Marcellán   +1 more
doaj   +1 more source

Exact analytical solutions of the Bloch equation for the hyperbolic‐secant and chirp pulses

Magnetic Resonance in Medicine, EarlyView.
Abstract Purpose To improve the accuracy and generality of analytical solutions of the Bloch equation for the hyperbolic‐secant (HS1) and chirp pulses in order to facilitate application to truncated and composite pulses and use in quantitative methods.
Ryan H. B. Smith, Donald Garwood, Michael Garwood   +2 more
wiley   +1 more source

Efficient algorithms for construction of recurrence relations for the expansion and connection coefficients in series of quantum classical orthogonal polynomials

Journal of Advanced Research, 2010
Formulae expressing explicitly the q-difference derivatives and the moments of the polynomials Pn(x ; q) ∈ T (T ={Pn(x ; q) ∈ Askey–Wilson polynomials: Al-Salam-Carlitz I, Discrete q-Hermite I, Little (Big) q-Laguerre, Little (Big) q-Jacobi, q-Hahn ...
Eid H. Doha, Hany M. Ahmed
doaj   +1 more source

How Can Inflation Contracts Discipline Central Bankers When Agents Are Learning?

Bulletin of Economic Research, EarlyView.
ABSTRACT This paper studies, in a new Keynesian model with a positive optimal output gap, how to design linear inflation contracts to shape the central bank's incentive structure when private expectations are based on adaptive learning. In this model, under rational expectations, inflation contracts could only partially deal with the time‐inconsistency
Marine Charlotte André, Meixing Dai
wiley   +1 more source