|
|
|
|
References
|
|
| |
| 1. |
G. Pólya, “On the minimum modulus of integral functions of order less than unity”, J. London Math. Soc., 1 (1926), 78–86 |
| 2. |
G. Pólya, “Untersuchungen über Lücken und Singularitäten von Potenzreihen”, Math. Z., 29:1 (1929), 549–640 |
| 3. |
W. H. J. Fuchs, “Proof of a conjecture of G. Pólya concerning gap series”, Illinois J. Math., 7 (1963), 661–667 |
| 4. |
W. K. Hayman, “Angular value distribution of power series with gaps”, Proc. London Math. Soc. (3), 24 (1972), 590–624 |
| 5. |
O. B. Skaskiv, “On the Pólya conjecture concerning the maximum and minimum of the modulus of an entire function of finite order given by a lacunary power series”, Anal. Math., 16:2 (1990), 143–157 |
| 6. |
A. M. Gaǐsin, “On a conjecture of Pólya”, Russian Acad. Sci. Izv. Math., 44:2 (1995), 281–299 |
| 7. |
A. M. Gaisin, “Estimates of the growth and decrease on curves of an entire function of infinite order on curves”, Sb. Math., 194:8 (2003), 1167–1194 |
| 8. |
T. Kövari, “A gap-theorem for entire functions of infinite order”, Michigan Math. J., 12:2 (1965), 133–140 |
| 9. |
O. B. Skaskiv, “Pripuscheniya Makintaira pro vidsutnist skinchennikh asimptotichnikh znachen u tsiloï funktsiïżlakunami Feiera”, Vestn. Lvivskogo universitetu. Ser. mekh.-matem., 28 (1987), 80–81 |
| 10. |
A. M. Gaǐsin, “On a theorem of Hayman”, Siberian Math. J., 39:3 (1998), 431–445 |
| 11. |
A. J. Macintyre, “Asymptotic paths of integral functions with gap power series”, Proc. London Math. Soc. (3), 2 (1952), 286–296 |
| 12. |
N. N. Yusupova, Asimptotika ryadov Dirikhle zadannogo rosta, Diss. … kand. fiz.-mat. nauk, Bashkirskii gos. un-t, Ufa, 2009 |
| 13. |
M. A. Evgrafov, “Ob odnoi teoreme edinstvennosti dlya ryadov Dirikhle”, UMN, 17:3 (1962), 169–175 |
| 14. |
W. K. Hayman, Meromorphic functions, Oxford Math. Monogr., Clarendon Press, Oxford, 1964 |
| 15. |
A. F. Leontev, Ryady eksponent, Nauka, M., 1976 |
| 16. |
I. Ciorǎnescu, L. Zsidó, “A minimum modulus theorem and applications to ultradifferential operators”, Ark. Mat., 17:1–2 (1979), 153–166 |
| 17. |
A. A. Goldberg, I. V. Ostrovskii, Raspredelenie znachenii meromorfnykh funktsii, Nauka, M., 1970 |
| 18. |
Sh. I. Strelits, Asimptoticheskie svoistva analiticheskikh reshenii differentsialnykh uravnenii, Mintis, Vilnyus, 1972 |
| 19. |
T. Murai, “The deficiency of entire functions with Fejér gaps”, Ann. Inst. Fourier (Grenoble), 33:3 (1983), 39–58 |
| 20. |
A. M. Gaisin, Asimptoticheskie svoistva funktsii, zadannykh ryadami eksponent, Diss. … dokt. fiz.-mat. nauk, In-t matem. s VTs UNTs RAN, Ufa, 1994 |
| 21. |
A. M. Gaisin, “An estimate for a Dirichlet series whose exponents are zeros of an entire function with irregular behavior”, Russian Acad. Sci. Sb. Math., 81:1 (1995), 163–183 |
| 22. |
E. Seneta, Regularly varying functions, Lecture Notes in Math., 508, Springer-Verlag, Berlin–Heidelberg–New York, 1976 |
| 23. |
V. S. Boichuk, “Some properties of a refined order”, Siberian Math. J., 20:2 (1979), 162–167 |
| 24. |
M. N. Sheremeta, Asimptoticheskie svoistva tselykh funktsii, zadannykh stepennymi ryadami i ryadami Dirikhle, Diss. … dokt. fiz.-mat. nauk, Lvovskii gos. un-t im. Iv. Franko, Lvov, 1985 |
| 25. |
M. N. Šeremeta, “Analogues of Wiman's theorem for Dirichlet series”, Math. USSR-Sb., 38:1 (1981), 95–107 |
| 26. |
T. I. Seidman, M. S. Gowda, “Norm dependence of the coefficient map on the window size”, Math. Scand., 73:2 (1993), 177–189 |
| 27. |
K. G. Binmore, “A density theorem with an application to gap power series”, Trans. Amer. Math. Soc., 148:2 (1970), 367–384 |
| 28. |
R. M. Redheffer, “Completeness of sets of complex exponentials”, Advances in Math., 24:1 (1977), 1–62 |
| 29. |
I. F. Krasichkov-Ternovskiǐ, “An interpretation of the Beurling–Malliavin theorem on the radius of completeness”, Math. USSR-Sb., 66:2 (1990), 405–429 |
| 30. |
P. Turán, Eine neue Methode in der Analysis und deren Anwendungen, Akadémiai Kiadó, Budapest, 1953 |
| 31. |
A. F. Leontev, Posledovatelnosti polinomov iz eksponent, Nauka, M., 1980 |
| 32. |
N. V. Govorov, “Ob otsenke snizu funktsii, subgarmonicheskoi v kruge”, Teoriya funktsii. funkts. anal. i ikh pril., 1968, no. 6, 130–150 |
| 33. |
N. S. Landkof, Foundations of modern potential theory, Grundlehren Math. Wiss., 180, Springer-Verlag, Berlin–Heidelberg–New York, 1972 |