-analogue of Wright function.
-analogues of the sums of consecutive integers, squares, cubes, quarts and quints.
-Bernstein polynomials associated with -Stirling numbers and Carlitz's -Bernoulli numbers.
-classical orthogonal polynomials: A very classical approach.
-Genocchi numbers and polynomials associated with -Genocchi-type -functions.
-orthogonal polynomials related to the quantum group .
-Riemann zeta function.
-Selberg integrals and Macdonald polynomials
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...
Quantum algebras and associated with certain -Hahn polynomials: a revisited approach.
Quantum Barnes function as the partition function of the resolved conifold.
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 .