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International Journal of Mathematics and Mathematical Sciences
Volume 2011, Article ID 838924, 22 pages
http://dx.doi.org/10.1155/2011/838924
Research Article

Exact Solutions of Nonlinear Equation of Rod Deflections Involving the Lauricella Hypergeometric Functions

1Via Negroli, 6, 20136 Milan, Italy
2Dipartimento di Matematica per le Scienze Economiche e Sociali, Viale Filopanti, 5, 40126 Bologna, Italy

Received 4 December 2010; Revised 29 March 2011; Accepted 16 June 2011

Academic Editor: Kenneth Berenhaut

Copyright © 2011 Giovanni Mingari Scarpello and Daniele Ritelli. 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.

Citations to this Article [4 citations]

The following is the list of published articles that have cited the current article.

  • Giovanni Mingari Scarpello, and Daniele Ritelli, “Legendre hyperelliptic integrals, π new formulae and Lauricella functions through the elliptic singular moduli,” Journal of Number Theory, vol. 135, pp. 334–352, 2014. View at Publisher · View at Google Scholar
  • Giovanni Mingari Scarpello, and Daniele Ritelli, “Motions about a fixed point by hypergeometric functions: new non-complex analytical solutions and integration of the herpolhode,” Celestial Mechanics and Dynamical Astronomy, vol. 130, no. 6, 2018. View at Publisher · View at Google Scholar
  • Alessio Bocci, Giovanni Mingari Scarpello, and Daniele Ritelli, “Hypergeometric solutions to a three dimensional dissipative oscillator driven by aperiodic forces,” Applied Mathematical Modelling, vol. 53, pp. 71–82, 2018. View at Publisher · View at Google Scholar
  • Mohammed Adnan, Robert A Pinnick, Zhao Tang, Lauren W Taylor, Sushma Sri Pamulapati, Gianni Royer Carfagni, and Matteo Pasquali, “Bending behavior of CNT fibers and their scaling laws,” Soft Matter, 2018. View at Publisher · View at Google Scholar