-Riemann zeta function.
-Selberg integrals and Macdonald polynomials
q-Angelescu polynomials.
q-difference equations and Ramanujan-Selberg continued fractions
q-fractional differentiation and basic hypergeometric transformations
q-Heat Operator and q-Poisson’s Operator
2000 Mathematics Subject Classification: 33D15, 33D90, 39A13In this paper we study the q-heat and q-Poisson’s operators associated with the q-operator ∆q (see[5]). We begin by summarizing some statements concerning the q-even translation operator Tx,q, defined by Fitouhi and Bouzeffour in [5]. Then, we establish some basic properties of the q-heat semi-group such as boundedness and positivity. In the second part, we introduce the q-Poisson operator P^t, and address its main properties. We show...
Quadratic factors of f(x) -g(y)
Quadrature processes - development and new directions
Quadrature rules for periodic integrands. Bi-orthogonality and para-orthogonality.
Quadrature-free quasi-interpolation on the sphere.
Quantum algebras and associated with certain -Hahn polynomials: a revisited approach.
Quantum Barnes function as the partition function of the resolved conifold.
Quasi-definiteness of generalized Uvarov transforms of moment functionals.
Quelques characteristiques sur les Polynomes de Tchebychef
Quelques formules relatives aux fonctions hyperboliques
Quelques valeurs prises par les polynômes de Macdonald décalés
Nous explicitons la valeur de certains des coefficients binomiaux généralisés associés aux polynômes de Macdonald, c’est-à-dire la valeur en certains points particuliers des polynômes de Macdonald décalés. Ces expressions font intervenir les fonctions hypergéométriques de base .
Questions
Quotient mean series.
Radial solutions to a superlinear Dirichlet problem using Bessel functions.
Radicals and units in Ramanujan's work