Geodesic
On a method of solution of an operator equation of infinite order
Sbornik. Mathematics, Tome 18 (1972) no. 3, pp. 473-485 Cet article a éte moissonné depuis la source Math-Net.Ru

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This work is devoted to the problem of approximating a solution of a homogeneous equation of infinite order with respect to a linear differential operator with analytic coefficients by means of elementary solutions of the equation. Bibliography: 8 titles. 
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Yu. N. Frolov. On a method of solution of an operator equation of infinite order. Sbornik. Mathematics, Tome 18 (1972) no. 3, pp. 473-485. http://geodesic.mathdoc.fr/item/SM_1972_18_3_a5/

[1] A. F. Leontev, “Otsenka rosta resheniya odnogo differentsialnogo uravneniya pri bolshikh po modulyu znacheniyakh parametra i ee primeneniya k nekotorym voprosam teorii funktsii”, Sib. matem. zh. I, 1960, no. 3, 456–487 | MR

[2] Yu. N. Frolov, “O svoistvakh reshenii odnogo funktsionalnogo uravneniya”, Matem. sb., 69(111) (1966), 605–615 | MR | Zbl

[3] A. F. Leontev, “Ob odnom sposobe resheniya uravneniya beskonechnogo poryadka”, Izv. AN SSSR, seriya matem., 32 (1968), 687–708 | MR | Zbl

[4] Yu. N. Frolov, “O reshenii uravneniya beskonechnogo poryadka v obobschennykh proizvodnykh”, Trudy Matem. in-ta im. V. A. Steklova, LXIV (1961), 294–315

[5] Yu. N. Frolov, “Ob odnom obobschenii ryada Lorana”, Matem. zametki, 9:5 (1971), 521–531 | MR | Zbl

[6] V. X. Musoyan, O predstavlenii funktsii ryadami $\sum c_nf(\lambda_nz)$, Dissertatsiya, Moskva, 1966

[7] M. K. Fage, “Operatorno-analiticheskie funktsii odnoi nezavisimoi peremennoi”, Trudy Mosk. matem. ob-va, VII (1958), 227–268 | MR

[8] M. K. Fage, “Ob ekvivalentnosti dvukh obyknovennykh lineinykh differentsialnykh operatorov s analiticheskimi koeffitsientami”, Issledovaniya po sovremennym problemam teorii funktsii kompleksnogo peremennogo, Fizmatgiz, Moskva, 1961, 468–476