Displaying 1601 – 1620 of 2026

Showing per page

Stokes matrices of hypergeometric integrals

Alexey Glutsyuk, Christophe Sabot (2010)

Annales de l’institut Fourier

In this work we compute the Stokes matrices of the ordinary differential equation satisfied by the hypergeometric integrals associated to an arrangement of hyperplanes in generic position. This generalizes the computation done by J.-P. Ramis for confluent hypergeometric functions, which correspond to the arrangement of two points on the line. The proof is based on an explicit description of a base of canonical solutions as integrals on the cones of the arrangement, and combinatorial relations between...

Successive derivatives and finite expansions involving the H-function of one and more variables

C. M. Joshi, N. L. Joshi (1997)

Annales Polonici Mathematici

Certain results including the successive derivatives of the H-function of one and more variables are established. These remove the limitations of Ławrynowicz's (1969) formulas and as a result extend the results of Skibiński [13] and various other authors. As an application some finite expansion formulas are also established, which reduce to hypergeometric functions of one and more variables that are of common interest.

Currently displaying 1601 – 1620 of 2026