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. 
@article{IM2_1968_2_3_a7,
     author = {A. F. Leont'ev},
     title = {A method for the solution of an equation of infinite order},
     journal = {Izvestiya. Mathematics },
     pages = {639--663},
     publisher = {mathdoc},
     volume = {2},
     number = {3},
     year = {1968},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1968_2_3_a7/}
}
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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/