On two systems of orthogonal polynomials related to the Pollaczek polynomials
On uniform convergence of Hermite series
On univalent and starlike Wright's hypergeometric functions
On x³ + y³ + z³ = 3μxyz and Jacobi polynomials
On zeros of regular orthogonal polynomials on the unit circle
A new approach to the study of zeros of orthogonal polynomials with respect to an Hermitian and regular linear functional is presented. Some results concerning zeros of kernels are given.
Opérateurs hypergéométriques réductibles : décompositions et groupes de Galois différentiels
Operational properties of a generalized Hermite transformation.
Operational relations related to a function defined by a generalized Rodrigues' formula.
Operator representation of fermi-Dirac and Bose-Einstein integral functions with applications.
Operator representations of generalized hypergeometric functions and certain polynomials
Operatormethoden für q-Identitäten II: q-Laguerre Polynome.
Operators preserving orthogonality of polynomials
Let S be a degree preserving linear operator of ℝ[X] into itself. The question is if, preserving orthogonality of some orthogonal polynomial sequences, S must necessarily be an operator of composition with some affine function of ℝ. In [2] this problem was considered for S mapping sequences of Laguerre polynomials onto sequences of orthogonal polynomials. Here we improve substantially the theorems of [2] as well as disprove the conjecture proposed there. We also consider the same questions for polynomials...
Operator-valued Bessel functions on Jordan algebras.
Orbit functions.
Orthoexponential polynomials and the Legendre polynomials
Orthoexponential polynomials can be expressed in terms of the Legendre polynomials. The formulae proved in this paper are useful for the computation of the values of orthoexponential polynomials. It is also possible to re-state, for orthoexponential polynomials, some theorems from the theory of classical orthogonal polynomials.
Orthogonal Laurent polynomials and quadratures on the unit circle and the real half-line.
Orthogonal least squares solutions for linear operators.
Orthogonal polynomial ensembles in probability theory.
Orthogonal polynomials.
Orthogonal polynomials and enumeration problems in molecular biology. (Polynômes orthogonaux et problèmes d'énumération en biologie moléculaire.)