| Title:
|
Some results on the growth properties of Wronskians (English) |
| Author:
|
Datta, Sanjib Kumar |
| Author:
|
Jha, Arindam |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
45 |
| Issue:
|
1 |
| Year:
|
2009 |
| Pages:
|
59-69 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of this paper paper is to study the comparative growth properties of the composition of entire and meromorphic functions and wronskians generated by them improving some earlier results. (English) |
| Keyword:
|
transcendental entire and meromorphic function |
| Keyword:
|
Wronskian |
| Keyword:
|
proximate lower order |
| Keyword:
|
composition |
| Keyword:
|
growth |
| MSC:
|
30D30 |
| MSC:
|
30D35 |
| idZBL:
|
Zbl 1212.30115 |
| idMR:
|
MR2591661 |
| . |
| Date available:
|
2009-06-25T13:47:06Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128287 |
| . |
| Reference:
|
[1] Bergweiler, W.: On the Nevanlinna characteristic of a composite function.Complex Variables 10 (1988), 225–236. Zbl 0628.30035, MR 0998234, 10.1080/17476938808814301 |
| Reference:
|
[2] Bergweiler, W.: On the growth rate of composite meromorphic functions.Complex Variables 14 (1990), 187–196. Zbl 0648.30022, MR 1048718, 10.1080/17476939008814417 |
| Reference:
|
[3] Hayman, W. K.: Meromorphic Functions.The Clarendon Press, Oxford, 1964. Zbl 0115.06203, MR 0164038 |
| Reference:
|
[4] Lahiri, I.: Generalised proximate order of meromorphic functions.Mat. Vesnik 41 (1989), 9–16. Zbl 0698.30028, MR 1027311 |
| Reference:
|
[5] Lahiri, I., Banerjee, A.: Value distribution of a Wronskian.Port. Math. (N.S.) 61 (2) (2004), 161–175. Zbl 1063.30030, MR 2066672 |
| Reference:
|
[6] Lin, Q., Dai, C.: On a conjecture of Shah concerning small functions.Kexue Tongbao (Chinese) 31 (4) (1986), 220–224, (English ed.). MR 0853493 |
| Reference:
|
[7] Niino, K., Yang, C. C.: Some growth relationships on factors of two composite entire functions.Factorization theory of meromorphic functions and related topics, Marcel Dekker, Inc. (New York and Basel), 1982, pp. 95–99. Zbl 0495.30023, MR 0666713 |
| Reference:
|
[8] Shah, S. M.: In proximate orders of integral functions.Bull. Amer. Math. Soc. 52 (1946), 326–328. MR 0015169, 10.1090/S0002-9904-1946-08572-9 |
| Reference:
|
[9] Shah, S. M.: A note on lower proximate orders.J. Indian Math. Soc. (N.S.) 12 (1948), 31–32. Zbl 0031.02202, MR 0028406 |
| . |
