Inversion formulas for the Dunkl intertwining operator and its dual on spaces of functions and distributions.
-Bessel functions associated to a 3-rank Jordan algebra.
-Bessel functions in two variables.
Kloosterman sums and monodromy of a -adic hypergeometric equation
Lie Derivatives, Killing΄s Equations GegenBauer Polynomials: A Combined Use for the Evaluation of some Useful Integrals
Lie Theoretic Generating Functions
Lie theory and certain identities satisfied by
Monodromy of hypergeometric functions and non-lattice integral monodromy
Monodromy of the hypergeometric differential equation of type (3,6) II. The unitary reflection group of order
On the determinant of Gauss-Manin connections and hypergeometric functions of hypersurfaces.
Opérateurs hypergéométriques réductibles : décompositions et groupes de Galois différentiels
Operator-valued Bessel functions on Jordan algebras.
Orbit functions.
Orthogonal polynomials associated with root systems.
Partial Quasi-Bilateral Generating Function Involving some Special Functions
A group-theoretic method of obtaining more general class of generating functions from a given class of partial quasi-bilateral generating functions involving Hermite, Laguerre and Gegenbaur polynomials are discussed.
Periodic integrals and tautological systems
We study period integrals of CY hypersurfaces in a partial flag variety. We construct a regular holonomic system of differential equations which govern the period integrals. By means of representation theory, a set of generators of the system can be described explicitly. The results are also generalized to CY complete intersections. The construction of these new systems of differential equations has lead us to the notion of a tautological system.
Polynomials associated with dihedral groups.
-Selberg integrals and Macdonald polynomials
Recurrence Formulas for Zonal Polynomials.
Some generating functions of modified Bessel polynomials from the view point of Lie group.