# zbMATH — the first resource for mathematics

The Euler beta-function, the Vandermonde determinant, the Legendre equation and critical values of linear functions on a configuration of hyperplanes. II. (Russian) Zbl 0699.33004
This is a continuation of the part I by the same author [see ibid. 53, No.6, 1206-1235 (1989; Zbl 0695.33004)] concerning the construction of generalized Beta function associated with a configuration of hyperplanes in an affine space. This part contains proofs of the main theorems and also a conjecture on a formula for the case of singular configuration.
Reviewer: A.Kaneko

##### MSC:
 33C60 Hypergeometric integrals and functions defined by them ($$E$$, $$G$$, $$H$$ and $$I$$ functions) 33B15 Gamma, beta and polygamma functions