Table of Contents
International Scholarly Research Notices
Volume 2014, Article ID 538327, 6 pages
Research Article

Growth Analysis of Composite Entire and Meromorphic Functions in the Light of Their Relative Orders

1Department of Mathematics, University of Kalyani, Kalyani, Nadia District, West Bengal 741235, India
2Rajbari, Rabindra Pally, R. N. Tagore Road, Krishnagar, Nadia District, West Bengal 741101, India
3Taraknagar Jamuna Sundari High School, Taraknagar, Hanskhali, Nadia District, West Bengal 741502, India

Received 29 June 2014; Accepted 20 August 2014; Published 29 October 2014

Academic Editor: George L. Karakostas

Copyright © 2014 Sanjib Kumar Datta et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. L. Bernal, “Orden relative de crecimiento de funciones enteras,” Collectanea Mathematica, vol. 39, no. 3, pp. 209–229, 1988. View at Google Scholar
  2. L. Bernal, Crecimiento relativo de funciones enteras. Contribucion al estudio de lasfunciones enteras con ndice exponencial finito [Doctoral, thesis], University of Seville, Sevilla, Spain, 1984.
  3. E. C. Titchmarsh, The Theory of Functions, Oxford University Press, Oxford, UK, 2nd edition, 1939. View at MathSciNet
  4. B. K. Lahiri and D. Banerjee, “Relative order of entire and meromorphic functions,” Proceedings of the National Academy of Sciences, India A, vol. 69, no. 3, pp. 339–354, 1999. View at Google Scholar
  5. S. K. Datta, T. Biswas, and S. Bhattacharyya, “Growth rates of meromorphic functions focusing relative order,” Chinese Journal of Mathematics, vol. 2014, Article ID 582082, 7 pages, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  6. W. K. Hayman, Meromorphic Functions, Oxford Mathematical Monographs, The Clarendon Press, Oxford, UK, 1964. View at MathSciNet
  7. G. Valiron, Lectures on the General Theory of Integral Functions, Chelsea, New York, NY, USA, 1949.
  8. W. Bergweiler, “On the Nevanlinna characteristic of a composite function,” Complex Variables, vol. 10, no. 2-3, pp. 225–236, 1988. View at Google Scholar · View at MathSciNet
  9. W. Bergweiler, “On the growth rate of composite meromorphic functions,” Complex Variables, vol. 14, no. 1–4, pp. 187–196, 1990. View at Google Scholar · View at MathSciNet
  10. I. Lahiri and D. K. Sharma, “Growth of composite entire and meromorphic functions,” Indian Journal of Pure and Applied Mathematics, vol. 26, no. 5, pp. 451–458, 1995. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  11. S. K. Datta, T. Biswas, and C. Biswas, “Measure of growth ratios of composite entire and meromorphic functions with a focus on relative order,” International Journal of Mathematical Sciences and Engineering Applications, vol. 8, no. 4, pp. 207–218, 2014. View at Google Scholar