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Note on the paper, of Dr Bevan B. Baker, An Extension of Heaviside's Operational Method of Solving Differential Equations*

Published online by Cambridge University Press:  20 January 2009

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Let f(x) and F(x) be polynomials which are supposed to be decomposed into a series of n terms as

Further let θ be a distributive operation and φ(x) be a given function. Then the functional equation

has a solution of the form

where yν (x) (ν = 1, 2, … n) is the solution of the equation

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1924

Footnotes

*

Proc. Edinburgh Math. Soc., XLII (1924), 95–103.

References

* The demonstration of the equation (2), with certain results belonging to the calculus of differences are given by the author in the paper, “O redukol , Casopis, 54, Praha (in the press).