Acta Mathematica Vietnamica
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ON A LINEAR DIFFERENTIAL EQUATION OF THE THIRD ORDER WITH TWO SINGULARITIES, BOTH IRREGULAR
HAROLD EXTON
Abstract
The Euler transform is applied to a type of confluent hypergeometric linear differential equation of the third order so as to obtain convergent series solutions associated with irregular singularities. These results are expressed in the form of two different confluent hypergeometric functions of two variables.