Series of hypergeometric type and discriminants

Quang Khanh Phan

Siberian Federal University, Krasnoyarsk, Russian Federation

Abstract: The monomial of solutions of a reduced system of algebraic equations are series of hypergeometric type. The Horn–Karpranov result for hypergeometric series is extended to the case of series of hypergeometric type.

Keywords: series of hypergeometric type, logarithmic Gauss map, discriminant locus, reduced system, conjugative radii of convergence.

UDC: 517.55

Received: 10.03.2023
Received in revised form: 15.04.2023
Accepted: 04.06.2023

Language: English