Entire Functions with Preassigned Zero Proximate Order

Verfasser / Beitragende:
[A. Grishin, Nguen Van Quynh]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 209/5(2015-09-01), 753-760
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10958-015-2523-1  |2 doi 
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245 0 0 |a Entire Functions with Preassigned Zero Proximate Order  |h [Elektronische Daten]  |c [A. Grishin, Nguen Van Quynh] 
520 3 |a It is known that if a proximate order ρ(r) is such that lim ρ(r) = ρ > 0, r→∞, then there exists an entire function f(z) of proximate order ρ(r). In the case where ρ = 0, the question about the existence of such an entire function remained open until now. This question is studied in the paper. Bibliography 6 titles. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Grishin  |D A.  |u Kharkov V. N. Karazin National University, Kharkov, Ukraine  |4 aut 
700 1 |a Van Quynh  |D Nguen  |u Kharkov V. N. Karazin National University, Kharkov, Ukraine  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 209/5(2015-09-01), 753-760  |x 1072-3374  |q 209:5<753  |1 2015  |2 209  |o 10958 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Grishin  |D A.  |u Kharkov V. N. Karazin National University, Kharkov, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Van Quynh  |D Nguen  |u Kharkov V. N. Karazin National University, Kharkov, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 209/5(2015-09-01), 753-760  |x 1072-3374  |q 209:5<753  |1 2015  |2 209  |o 10958