Results 51 to 60 of about 1,201 (100)

Difference Sturm--Liouville problems in the imaginary direction

, 2011
We consider difference operators in $L^2$ on $\R$ of the form $$ L f(s)=p(s)f(s+i)+q(s) f(s)+r(s) f(s-i) ,$$ where $i$ is the imaginary unit. The domain of definiteness are functions holomorphic in a strip with some conditions of decreasing at infinity ...
Neretin, Yury
core   +1 more source

What is $\ldots\ $ a multiple orthogonal polynomial?

, 2016
This is an extended version of our note in the Notices of the American Mathematical Society 63 (2016), no. 9, in which we explain what multiple orthogonal polynomials are and where they appear in various applications.Comment: 5 pages, 2 ...
Martínez-Finkelshtein, Andrei, Van Assche, Walter   +1 more
core   +1 more source

New Challenges for Classical and Quantum Probability. [PDF]

Entropy (Basel), 2022
Accardi L.
europepmc   +1 more source

The Relativistic Linear Singular Oscillator

, 2003
Exactly-solvable model of the linear singular oscillator in the relativistic configurational space is considered. We have found wavefunctions and energy spectrum for the model under study.
Amirkhanov I V, Atakishiyev N M, Atakishiyev N M, Atakishiyev N M, Calogero F, Calogero F, Camiz P, Chumakov S M, Dodonov V V, Elchin I Jafarov, Frahm H, Hartmann A, Kadyshevsky V G, Kadyshevsky V G, Kadyshevsky V G, Kadyshevsky V G, Kagramanov E D, Klein A, Koekoek R, Landau L D, Leinaas J M, Nagiyev Sh M, Nagiyev Sh M, Polychronakos A P, Rizvan M Imanov, Shakir M Nagiyev, Shapiro I S   +26 more
core   +4 more sources

Generalized Bernoulli numbers and a formula of Lucas

, 2014
An overlooked formula of E. Lucas for the generalized Bernoulli numbers is proved using generating functions. This is then used to provide a new proof and a new form of a sum involving classical Bernoulli numbers studied by K. Dilcher.
Moll, V. H., Vignat, C.
core   +1 more source

Expansion of Dirichlet L-function on the critical line in Meixner-Pollaczek polynomials

, 2014
14 ...
openaire   +2 more sources

Open problem in orthogonal polynomials

, 2018
Using an algebraic method for solving the wave equation in quantum mechanics, we encountered a new class of orthogonal polynomials on the real line. It consists of a four-parameter polynomial with continuous spectrum on the whole real line and two of its
Alhaidari, A. D.
core  

Orthogonal Stochastic Duality Functions from Lie Algebra Representations. [PDF]

J Stat Phys, 2019
Groenevelt W.
europepmc   +1 more source

THE POWER COLLECTION METHOD FOR CONNECTION RELATIONS: MEIXNER POLYNOMIALS. [PDF]

J Class Anal, 2017
Baeder MA, Cohl HS, Costas-Santos RS, Xu W.   +3 more
europepmc   +1 more source

Report from the Open Problems Session at OPSFA13. [PDF]

Symmetry Integrability Geom Methods Appl, 2016
Cohl HS.
europepmc   +1 more source