Table of Contents
Chinese Journal of Mathematics
Volume 2014, Article ID 716718, 5 pages
http://dx.doi.org/10.1155/2014/716718
Research Article

Translation, Creation and Annihilation of Poles and Zeros with the Biernacki and Ruscheweyh Operators, Acting on Meijer's -Functions

1Nuclear Science Research School, NSTRI, P.O. Box, Tehran 14395-836, Iran
2School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia

Received 17 November 2013; Accepted 2 January 2014; Published 12 February 2014

Academic Editors: S. Deng and N. Igbida

Copyright © 2014 Amir Pishkoo and Maslina Darus. 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. G. Arfken and H. Weber, Mathematical Methods for Physicists, Elsevier, Oxford, UK, 2001.
  2. V. Kiryakova, Generalized Fractional Calculus and Applications, Longman, Harlow, UK, 1994.
  3. L. C. Andrews, Special Functions for Engineers and Applied Mathematicians, MacMillan, New York, NY, USA, 1985.
  4. Y. L. Luke, The Special Functions and Their Approximations, vol. 1 of Complex Variables, Academic Press, New York, NY, USA, 1969.
  5. A. U. Klimyik, “Meijer G-function,” in Encyclopaedia of Mathematics, Springer, Berlin, Germany, 2010. View at Google Scholar
  6. R. A. Askey, “Meijer G-function,” in NIST Handbook of Mathematical Functions, Cambridge University Press, New York, NY, USA, 2010. View at Google Scholar
  7. S. Lang, Complex Analysis, Springer, Berlin, Germany, 1985.
  8. A. Pishkoo and M. Darus, “Fractional differintegral transformation of univalent Meijer's G-functions,” Journal of Inequalities and Applications, vol. 2012, article 36, 2012. View at Publisher · View at Google Scholar
  9. V. Kiryakova, M. Saigo, and H. M. Srivastava, “Some criteria for univalence of analytic functions involving generalized fractional calculus operators,” Fractional Calculus and Applied Analysis, vol. 1, pp. 79–104, 1998. View at Google Scholar
  10. A. Pishkoo and M. Darus, “Meijer's G-functions (MGFs) in Micro- and Nano-structures,” Journal of Computational and Theoretical Nanoscience, vol. 10, no. 10, pp. 2478–2483, 2013. View at Publisher · View at Google Scholar
  11. A. Pishkoo and M. Darus, “Some applications of Meijer G-functions as solutions of differential equations in physical models,” Journal of Mathematical Physcis, Analysis, Geometry, vol. 3, no. 9, pp. 379–391, 2013. View at Google Scholar