A problem in the theory of entire functions of bounded index |
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| Author |
Faculty of Mechanics and Mathematics, Lviv National University
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| Abstract |
A problem on the relation between the $l$-index boundedness of an entire
function and the growth of its index in the sense of G.Frank is stated.
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| Keywords |
l-index boundedness, entire function, growth of its index, sense of G. Frank
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| DOI |
doi:10.30970/ms.15.1.105-108
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Reference |
1. Kuzyk A. D., Sheremeta M. M. Entire functions of bounded value $l$-distribution, Matem. Zametki. 39 (1986), no.~1, 3--13 (in Russian).
2. Lepson B. Differential equations of infinite order, hyperdirichlet series and entire functions of bounded index, Proc. Sympos. Pure Math. V.2. Amer. Math. Soc., Providence, Phode Island, 1968, 298–307. 3. Abuarabi Sh., Sheremeta M. M. Entire functions of bounded $l$-$M$-index, Dopovidi AN URSR, ser.A.(1989), 3--5 (in Ukrainian). 4. Fricke G. H., Shah S. M., Sisarcik W. S. A characterization of entire functions of exponential type and $M$-bounded index, Indiana Univ. Math. J. 23 (1973), 405--412. 5. Frank G. Uber den Index einer ganzen Funktionen, Ark. der Math. 22 (1971), 175–180. 6. Frank G., Mues E. Uber das Wachstum des Index ganzer Funktionen, Math. Ann. 195 (1972), 114–120. 7. Hayman W. K. Differential inequalities and local valency, Pacific J. Math. (1973), 117–137. 8. Shah S. M. Entire functions of bounded index, Lect. Notes in Math. 589 (1977), 117–145. 9. Sheremeta M. M. Analytic functions of bounded index, Lviv: VNTL Publishers., 1999, 141 pp. 10. Bratishchev A. V. On the converse of L'Hospital's rule, Meh. sploshnoj sredy, Rostov-na-Donu: Izd. RSU, 1985, 28–42 (in Russian). |
| Pages |
105-108
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| Volume |
15
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| Issue |
1
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| Year |
2001
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| Journal |
Matematychni Studii
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| Full text of paper | |
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