This article is cited in 7 papers

Integral Representations for Linearly Convex Polyhedra and Some Combinatorial Identities

Vyacheslav P. Krivokolesko

Siberian State Technological University, Krasnoyarsk, Russia

Abstract: An integral representation for functions that are holomorphic in a linearly convex polyhedr was considered in detail in the case of an $n$-circular polyhedron.
We obtain some combinatorial identities involving metric parameters of this polyhedron.

Keywords: integral representation, residues, combinatorial identities.

UDC: 517.55+519.1

Received: 18.02.2009
Received in revised form: 11.04.2009
Accepted: 30.04.2009