The continuous Jacobi transform
type: Item
instance of: scholarly article
title: The continuous Jacobi transform
zbMATH Open document ID: 0533.44002
DOI: 10.1155/S0161171283000137
author: E. L. Koh
author: Elias Y. Deeba
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1983-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/45281
review text: Based on the works of \textit{L. Debnath} [Bull. Calcutta math. Soc. 55, 113-120 (1963; Zbl 0129.078) and ibid 59, 155-158 (1967; Zbl 0193.381)] on the discrete Jacobi transform and its applications to physical problems described by partial differential equations, especially, the problems of heat conduction in a finite domain with variable thermal conductivity, the present authors define the continuous Jacobi transform, which seems general in nature. As usual, they have discussed its basic properties and some special cases. Later, an inversion theorem is proved.
Mathematics Subject Classification ID: 44A15
Mathematics Subject Classification ID: 44A20
Mathematics Subject Classification ID: 33C05
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 3846193
zbMATH Keywords: 129, 78
zbMATH Keywords: 193, 381
zbMATH Keywords: discrete Jacobi transform
zbMATH Keywords: continuous Jacobi transform
zbMATH Keywords: inversion theorem
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3846193