Some results on the growth properties of Wronskians

Sanjib Kumar Datta; Arindam Jha

Archivum Mathematicum (2009)

  • Volume: 045, Issue: 1, page 59-69
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Datta, Sanjib Kumar, and Jha, Arindam. "Some results on the growth properties of Wronskians." Archivum Mathematicum 045.1 (2009): 59-69. <http://eudml.org/doc/250681>.

@article{Datta2009,
abstract = {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.},
author = {Datta, Sanjib Kumar, Jha, Arindam},
journal = {Archivum Mathematicum},
keywords = {transcendental entire and meromorphic function; Wronskian; proximate lower order; composition; growth; transcendental entire function; meromorphic function; Wronskian; proximate lower order; composition},
language = {eng},
number = {1},
pages = {59-69},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Some results on the growth properties of Wronskians},
url = {http://eudml.org/doc/250681},
volume = {045},
year = {2009},
}

TY - JOUR
AU - Datta, Sanjib Kumar
AU - Jha, Arindam
TI - Some results on the growth properties of Wronskians
JO - Archivum Mathematicum
PY - 2009
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 045
IS - 1
SP - 59
EP - 69
AB - 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.
LA - eng
KW - transcendental entire and meromorphic function; Wronskian; proximate lower order; composition; growth; transcendental entire function; meromorphic function; Wronskian; proximate lower order; composition
UR - http://eudml.org/doc/250681
ER -

References

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  3. Hayman, W. K., Meromorphic Functions, The Clarendon Press, Oxford, 1964. (1964) Zbl0115.06203MR0164038
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  5. Lahiri, I., Banerjee, A., Value distribution of a Wronskian, Port. Math. (N.S.) 61 (2) (2004), 161–175. (2004) Zbl1063.30030MR2066672
  6. Lin, Q., Dai, C., On a conjecture of Shah concerning small functions, Kexue Tongbao (Chinese) 31 (4) (1986), 220–224, (English ed.). (1986) MR0853493
  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. (1982) Zbl0495.30023MR0666713
  8. Shah, S. M., 10.1090/S0002-9904-1946-08572-9, Bull. Amer. Math. Soc. 52 (1946), 326–328. (1946) MR0015169DOI10.1090/S0002-9904-1946-08572-9
  9. Shah, S. M., A note on lower proximate orders, J. Indian Math. Soc. (N.S.) 12 (1948), 31–32. (1948) Zbl0031.02202MR0028406

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