scientific article
From MaRDI portal
Publication:4039835
zbMath0624.33001MaRDI QIDQ4039835
Vasily B. Uvarov, Arnold F. Nikiforov
Publication date: 5 June 1993
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to special functions (33-01) Boundary value problems for ordinary differential equations (34Bxx)
Related Items (only showing first 100 items - show all)
Bulk–edge correspondence for unbounded Dirac–Landau operators ⋮ First-order non-homogeneousq-difference equation for Stieltjes function characterizingq-orthogonal polynomials ⋮ Unnamed Item ⋮ Magnetic trajectories on lightlike surfaces ⋮ Numerical modeling of lattice modes of photonic-crystal lasers by Galerkin method with exact matrix elements ⋮ Uniform complex time heat kernel estimates without Gaussian bounds ⋮ Internal gravity waves from a localized source in stratified medium flow with a model buoyancy frequency distribution ⋮ Topological effects with inverse quadratic Yukawa plus inverse square potential on eigenvalue solutions ⋮ Third‐kind Chebyshev cardinal functions for variable‐order time fractional RLW‐Burgers equation ⋮ Klein–Gordon oscillator with magnetic and quantum flux fields in non-trivial topological space-time ⋮ Copyright protection of multiple CT images using octonion Krawtchouk moments and grey wolf optimizer ⋮ A generic inequality for basic special functions ⋮ Classical orthogonal polynomials revisited ⋮ Exact solutions of the Schrödinger equation with a complex periodic potential ⋮ The \(q\)-analog of the quantum theory of angular momentum: a review from special functions ⋮ Investigation of light baryons in a simple analytical treatment ⋮ Calculation of energy and charge radius for doubly-magic nuclei of \(^{41}\mathrm{Ca}\) and \(^{41}\mathrm{Sc}\) with extra nucleon ⋮ Analytical solutions of the Klein-Gordon equation with a combined potential ⋮ Solutions of noncommutative two-dimensional position-dependent mass Dirac equation in the presence of Rashba spin-orbit interaction by using the Nikiforov-Uvarov method ⋮ Numerical investigation of Fredholm fractional integro-differential equations by least squares method and compact combination of shifted Chebyshev polynomials ⋮ Non-inertial effects on relativistic scalar massive charged bosons in a topologically nontrivial space-time and Aharonov–Bohm effect ⋮ Analytical solutions of the molecular Kratzer-Feus potential by means of the Nikiforov-Uvarov method ⋮ Topological defects with generalized Hulthen–Coulomb-inverse quadratic Yukawa potential on eigenvalue solution under Aharonov–Bohm flux field ⋮ Operational rules for a new family of d -orthogonal polynomials of Laguerre type ⋮ The generalized Fokker-Planck equation in terms of Dunkl-type derivatives ⋮ Quantum dynamics of spin-0 particles in a cosmological space-time ⋮ Bound states of the D-dimensional Schrödinger equation for the generalized Woods–Saxon potential ⋮ The search for fractional order in heavy quarkonia spectra ⋮ Relativistic quantum motion of the scalar bosons in the background space–time around a chiral cosmic string ⋮ Complementary Romanovski-Routh polynomials: From orthogonal polynomials on the unit circle to Coulomb wave functions ⋮ Exact solutions of Schrödinger and Pauli equations for a charged particle on a sphere and interacting with non-central potentials ⋮ Exact solution of the relativistic finite-difference equation for the Coulomb plus a ring-shaped-like potential ⋮ Aharonov–Bohm effect for bound states on spin-0 massive charged particles in a Gödel-type space–time with Coulomb potential ⋮ Some expansions of functions based upon two sequences of hypergeometric polynomials ⋮ Deformed Morse-like potential ⋮ The modified equation for spinless particles and superalgebra ⋮ so(3) algebraic approach to the Morse potential ⋮ Spectral representation of transition density of Fisher–Snedecor diffusion ⋮ Application of polynomial su(1, 1) algebra to Pöschl-Teller potentials ⋮ Mathematical simulation of acoustic wave refraction near a caustic ⋮ Nonlinear transmission eigenvalue problem describing TE wave propagation in two-layered cylindrical dielectric waveguides ⋮ TIME‐CHANGED ORNSTEIN–UHLENBECK PROCESSES AND THEIR APPLICATIONS IN COMMODITY DERIVATIVE MODELS ⋮ A generalization of classical symmetric orthogonal functions using a symmetric generalization of Sturm–Liouville problems ⋮ On difference equations for orthogonal polynomials on nonuniform lattices1 ⋮ Heavy quarkonia properties from a hard-wall confinement potential model with conformal symmetry perturbing effects ⋮ Connection formulas and representations of Laguerre polynomials in terms of the action of linear differential operators ⋮ INTEGRAL REPRESENTATIONS FOR THE JACOBI–PINEIRO POLYNOMIALS AND THE FUNCTIONS OF THE SECOND KIND ⋮ The Szegö-Markov-Bernstein inequalities and barycentric representations of the osculatory interpolating operators for classical iterated weights ⋮ Spin-one (1 + 3)-dimensional DKP equation with modified Kratzer potential in the non-commutative space ⋮ Hardy-Type Inequalities for Fractional Powers of the Dunkl–Hermite Operator ⋮ A generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to it ⋮ Entanglement in model-independent cosmological scenario ⋮ Relativistic Coulomb Integrals and Zeilberger’s Holonomic Systems Approach. I ⋮ Approximate solutions of the Dirac equation for the Rosen–Morse potential including the spin-orbit centrifugal term ⋮ Coherent States for the Two-Dimensional Dirac–Moshinsky Oscillator Coupled to an External Magnetic Field ⋮ Landau automorphic functions on Cn of magnitude ν ⋮ Qiang–Dong proper quantization rule and its applications to exactly solvable quantum systems ⋮ Solution of Dirac equation with spin and pseudospin symmetry for an anharmonic oscillator ⋮ On the second-order holonomic equation for Sobolev-type orthogonal polynomials ⋮ Inner product and Gegenbauer polynomials in Sobolev space ⋮ An approximate κ state solutions of the Dirac equation for the generalized Morse potential under spin and pseudospin symmetry ⋮ Pseudospin symmetry for a new oscillatory ring-shaped noncentral potential ⋮ Stability of Fractional SDEs with Markov Switching Perturbed by Transition Rate Matrices ⋮ Bismut formulas and applications for stochastic (functional) differential equations driven by fractional Brownian motions ⋮ Fourth Painlevé and Ermakov equations: quantum invariants and new exactly-solvable time-dependent Hamiltonians ⋮ The electrostatic equilibrium problem for classical discrete orthogonal polynomials ⋮ Coefficients of multiplication formulas for classical orthogonal polynomials ⋮ Asymptotics for Laguerre-Sobolev type orthogonal polynomials modified within their oscillatory regime ⋮ Relativistic symmetries in Yukawa-type interactions with Coulomb-like tensor ⋮ On some problems of Euclidean Ramsey theory ⋮ Bound states of \((1+1)\)-dimensional Dirac equation with kink-like vector potential and delta interaction ⋮ Relativistic spin-zero bosons in a Som-Raychaudhuri space-time ⋮ Adjoint difference equation for the Nikiforov-Uvarov-Suslov difference equation of hypergeometric type on non-uniform lattices ⋮ Semi-exact solutions of sextic potential plus a centrifugal term ⋮ \(d\)-orthogonality and \(q\)-Askey-scheme ⋮ Generalized pseudospectral method and zeros of orthogonal polynomials ⋮ Solutions of the \(D\)-dimensional Schrödinger equation with the hyperbolic Pöschl-Teller potential plus modified ring-shaped term ⋮ Exact bound state solutions of the Schrödinger equation for noncentral potential via the Nikiforov-Uvarov method ⋮ Additive subordination and its applications in finance ⋮ Approximate solutions of the Dirac equation for the hua plus modified Eckart potential ⋮ Solutions of Dirac equation with generalized rotating Deng-Fan potential ⋮ Pure jump models for pricing and hedging VIX derivatives ⋮ Harnack inequality and derivative formula for SDE driven by fractional Brownian motion ⋮ Information-theoretic-based spreading measures of orthogonal polynomials ⋮ Factorization method and special orthogonal functions ⋮ Raising and lowering of generalized Hulthén potential from supersymmetry approaches ⋮ On moments of hypergeometric bivariate weight functions ⋮ A class of symmetric \(q\)-orthogonal polynomials with four free parameters ⋮ Application of zero eigenvalue for solving the potential, heat, and wave equations using a sequence of special functions ⋮ Characterization of the Dunkl-classical symmetric orthogonal polynomials ⋮ Schrödinger and Dirac equations for the hydrogen atom, and Laguerre polynomials ⋮ Asymptotic behaviors and numerical computations of the eigenfunctions and eigenvalues associated with the classical and circular prolate spheroidal wave functions ⋮ Bound-state solutions of the Klein-Gordon equation for the generalized \(PT\)-symmetric hulthén potential ⋮ Thermodynamic properties of radiation near the black-hole horizon ⋮ The effect of tensor interaction in splitting the energy levels of relativistic systems ⋮ A characterization of the Chebyshev and Fibonacci polynomials ⋮ A basic class of symmetric orthogonal polynomials of a discrete variable ⋮ Estimates of the hyperbolization effect on the heat equation ⋮ Discretely monitored first passage problems and barrier options: an eigenfunction expansion approach ⋮ Hypergeometric type functions and their symmetries
This page was built for publication: