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Article Title

Exponential Operators

Document Type

Research

Abstract

Introduction. The non-commutative operational formula Dx = xD + 1, where D = d/dx, is well known. The difficulty of determining the order of the operations x and D in a function f (x, D) retarded the use of operative functions. Bourlet1 was the first to discover a way to express an operative function, f(x, D) such that the operations with D always precede those with x. Thus his operators obey the laws of algebra and their operational meaning is unique.

Publication Date

1940

Journal Title

Proceedings of the Iowa Academy of Science

Volume

47

Issue

1

First Page

277

Last Page

281

Copyright

© Copyright 1940 by the Iowa Academy of Science, Inc.

Language

EN

File Format

application/pdf

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