$q$--Hypergeometric Functions in the Formalism of Free Fields

$q$-Analog Singular Homology of Convex Spaces

$q$-Analogs for Steiner Systems and Covering Designs

$q$-analogue of modified KP hierarchy and its quasi-classical limit

$q$-Analogue of the Dunkl transform on the real line

$q$-Breathers in finite lattices: nonlinearity and weak disorder

$q$-Chaos

$q$-Classical orthogonal polynomials: A general difference calculus approach

$q$-deformation of Witt-Burnside rings

$q$-Deformed Chern Characters for Quantum Groups $SU_{q}(N)$

$q$-Deformed Classical Lie Algebras and their Anyonic Realization

$Q$-deformed description of excitons and associated physical results

$q$-Difference raising operators for Macdonald polynomials and the integrality of transition coefficients

$q$-Discrete Painlevé equations for recurrence coefficients of modified $q$-Freud orthogonal polynomials

$q$-Eulerian polynomials and polynomials with only real zeros

$q$-exchangeability via quasi-invariance

$q$-Gaussian processes: non-commutative and classical aspects

$q$-graded Heisenberg algebras and deformed supersymmetries

$q$-identities and affinized projective varieties, I. Quadratic monomial ideals

$q$-Identities related to overpartitions and divisor functions