Valerii K. Beloshapka, “On hypergeometric functions of two variables of complexity one”, J. Sib. Fed. Univ. Math. Phys., 2024, Volume 17, Issue 2,Pages <nobr>175

On hypergeometric functions of two variables of complexity one

Valerii K. Beloshapka

Moscow Center of Fundamental and Applied Mathematics, Lomonosov Moscow State University, Moscow, Russian Federation

Abstract: For a series of examples of Horn systems and the Lauricella system for functions of two variables the description of solution of complexity one is given. Several questions are formulated.

Keywords: analytical complexity,hypergeometric functions, Horn system, Lauricella system, differential ring.

UDC: 517.9

Received: 10.09.2023
Received in revised form: 13.10.2023
Accepted: 20.12.2023

Language: English