Geodesic
A method for the solution of an equation of infinite order
Izvestiya. Mathematics , Tome 2 (1968) no. 3, pp. 639-663.

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A new method is presented for the solution of the equation $\sum\limits_0^\infty c_nD^nF=0$ where $DF$ is an operator of a well-defined class. This method is compared with a known method, and applications of the new method are described. 
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A. F. Leont'ev. A method for the solution of an equation of infinite order. Izvestiya. Mathematics , Tome 2 (1968) no. 3, pp. 639-663. http://geodesic.mathdoc.fr/item/IM2_1968_2_3_a7/

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