On hypergeometric type partial differential equations
type: Item
instance of: scholarly article
title: On hypergeometric type partial differential equations
zbMATH Open document ID: 0842.35016
DOI: 10.1007/BF02337755
published in: Lithuanian Mathematical Journal
publication date: 1996-02-25T00:00:00Z
review text: The author investigates the equation \[ \sum^n_{i = 1} a_i x_i (1 - x_i) {\partial^2 u \over \partial x_i^2} - \sum^n_{{i,j = 1 \atop i \neq j}} b_{ij} x_i x_j {\partial^2u \over \partial x_i \partial x_j} + \sum^n_{i = 1} (\alpha_i x_i + \beta_i) {\partial u \over \partial x_i} + \gamma u = 0 \] that is analogous to the hypergeometric equation. He gives a certain integral representation of the solutions for \(n = 2\).
reviewed by: V.V.Kovrizhkin
Mathematics Subject Classification ID: 35C15
zbMATH DE Number: 846595
zbMATH Keywords: hypergeometric equation
author: A. I. Yanushauskas
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf02337755
OpenAlex ID: W2051793099
description: scientific article; zbMATH DE number 846595