Exponential Operators

Citation data:

Proceedings of the Iowa Academy of Science, Vol: 47, Issue: 1, Page: 277-281

Publication Year:
1940
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Repository URL:
https://scholarworks.uni.edu/pias/vol47/iss1/68
Author(s):
Robertson, Fred
artifact description
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.