Comparative growth analysis of Wronskians in the light of their relative orders

Datta, Sanjib Kumar; Biswas, Tanmay; Hoque, Ahsanul

doi:10.1515/aupcsm-2015-0010

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Comparative growth analysis of Wronskians in the light of their relative orders

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Volume 14 (2015): Issue 1 (December 2015)

By: Sanjib Kumar Datta, Tanmay Biswas and Ahsanul Hoque

Open Access

|Dec 2015

Abstract

In this paper we study the comparative growth properties of a composition of entire and meromorphic functions on the basis of the relative order (relative lower order) of Wronskians generated by entire and meromorphic functions.

References

[1] L. Bernal, Crecimiento Relativo de Funciones Enteras. Aportaciones al estudio de las funciones enteras con índice exponencial finito, Doctoral Dissertation, University of Seville, Seville 1984. Cited on 137.
Search in Google Scholar
[2] L. Bernal, Relative growth order of entire functions, (Spanish) Collect. Math. 39 (1988), no. 3, 209-229. Cited on 136 and 137.
Search in Google Scholar
[3] W. Bergweiler, On the Nevanlinna characteristic of a composite function, Complex Variables Theory Appl. 10 (1988), no. 2-3, 225-236. Cited on 138.
Search in Google Scholar
[4] W. Bergweiler, On the growth rate of composite meromorphic functions, Complex Variables Theory Appl. 14 (1990), no. 1-4, 187-196. Cited on 138.
Search in Google Scholar
[5] S.K. Datta, T. Biswas, S. Ali, Some growth properties of Wronskians using their relative order, J. Class. Anal. 3 (2013), no. 1, 91-99. Cited on 139.
Search in Google Scholar
[6] S.K. Datta, T. Biswas, C. Biswas, Measure of growth ratios of composite entire and meromorphic functions with a focus on relative order, International J. of Math. Sci. & Engg. Appls. (IJMSEA), 8 (2014), no. 4, 207-218. Cited on 139.
Search in Google Scholar
[7] W.K. Hayman, Meromorphic Functions, Oxford Mathematical Monographs, Clarendon Press, Oxford 1964. Cited on 138 and 139.
Search in Google Scholar
[8] I. Lahiri, D.K. Sharma, Growth of composite entire and meromorphic functions, Indian J. Pure Appl. Math. 26 (1995), no. 5, 451-458. Cited on 138.
Search in Google Scholar
[9] B.K. Lahiri, D. Banerjee, Relative order of entire and meromorphic functions, Proc. Nat. Acad. Sci. India Ser. A. 69(A) (1999), no. 3, 339-354. Cited on 137.
Search in Google Scholar
[10] E.C. Titchmarsh, The Theory of Functions, 2nd edition, Oxford University Press, Oxford 1939. Cited on 137.
Search in Google Scholar
[11] G. Valiron, Lectures on the General Theory of Integral Functions, Chelsea Publishing Company, New York 1949. Cited on 138.
Search in Google Scholar

DOI: https://doi.org/10.1515/aupcsm-2015-0010 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X

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Language: English

Page range: 135 - 148

Submitted on: Jun 14, 2015

Published on: Dec 30, 2015

Published by: Pedagogical University of Cracow

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Related subjects:

Mathematics,

General mathematics

© 2015 Sanjib Kumar Datta, Tanmay Biswas, Ahsanul Hoque, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

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