On two systems of orthogonal polynomials related to the Pollaczek polynomials
Displaying 181 – 200 of 211
On uniform convergence of Hermite series
Zbigniew Sadlok (1983)
Annales Polonici Mathematici
On univalent and starlike Wright's hypergeometric functions
R. K. Raina (1996)
Rendiconti del Seminario Matematico della Università di Padova
On x³ + y³ + z³ = 3μxyz and Jacobi polynomials
Kaori Ota (1994)
Acta Arithmetica
On zeros of regular orthogonal polynomials on the unit circle
P. García Lázaro, F. Marcellán (1993)
Annales Polonici Mathematici
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
Katy Boussel (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Operational properties of a generalized Hermite transformation.
Hans-Jürgen Glaeske (1987)
Aequationes mathematicae
Operational relations related to a function defined by a generalized Rodrigues' formula.
A. Singh (1978)
Publications de l'Institut Mathématique [Elektronische Ressource]
Operator representation of fermi-Dirac and Bose-Einstein integral functions with applications.
Chaudhry, M.Aslam, Qadir, Asghar (2007)
International Journal of Mathematics and Mathematical Sciences
Operator representations of generalized hypergeometric functions and certain polynomials
Mumtaz Ahmad Khan, Mohd Khalid Rafat Khan (2011)
Matematički Vesnik
Operatormethoden für q-Identitäten II: q-Laguerre Polynome.
J. Cigler (1981)
Monatshefte für Mathematik
Operators preserving orthogonality of polynomials
Francisco Marcellán, Franciszek Szafraniec (1996)
Studia Mathematica
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.
Hongming Ding, Kenneth I. Gross (1993)
Journal für die reine und angewandte Mathematik
Orbit functions.
Klimyk, Anatoliy, Patera, Jiri (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Orthoexponential polynomials and the Legendre polynomials
Otakar Jaroch (1978)
Aplikace matematiky
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.
Cruz-Barroso, Ruymán, González-Vera, Pablo (2005)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Orthogonal least squares solutions for linear operators.
Acosta, Eva (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Orthogonal polynomial ensembles in probability theory.
König, Wolfgang (2005)
Probability Surveys [electronic only]
Orthogonal polynomials.
Totik, Vilmos (2005)
Surveys in Approximation Theory (SAT)[electronic only]
Orthogonal polynomials and enumeration problems in molecular biology. (Polynômes orthogonaux et problèmes d'énumération en biologie moléculaire.)
Vauchassade de Chaumont, M., Viennot, Gérard (1983)
Séminaire Lotharingien de Combinatoire [electronic only]