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An Operational Method for Determining the Series Solution of a Linear Differential Equation of Rank Two

Published online by Cambridge University Press:  03 November 2016

K. Sarginson
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Extract

The equation considered is of the type

and f(δ) and g(δ) are polynomials in δ.

There are three cases to consider These are:

(I) The roots off f(z) = 0 are distinct and no two differ by an integer.

(II) Some of the roots of f(z) = 0 are co-incident.

(III) There exists an integral difference between some of the roots of f(z) = 0.

Type
Research Article
Information
The Mathematical Gazette , Volume 34 , Issue 307 , February 1950 , pp. 8 - 10
Copyright
Copyright © The Mathematical Association 1950

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