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.)
Orthogonal polynomials and quadrature.
Orthogonal polynomials and Ramanujan's -continued fractions.
Orthogonal polynomials and recurrence equations, operator equations and factorization.
Orthogonal polynomials associated with root systems.
Orthogonal Polynomials for the Oscillatory-gegenbauer Weight
Orthogonal polynomials on the radial rays and an electrostatic interpretation of zeros.
Orthogonal polynomials on the semicircle
Orthogonal polynomials related to the oscillatory-chebyshev weight function