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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 350182, 6 pages
http://dx.doi.org/10.1155/2013/350182
Research Article

Extended Jacobi Functions via Riemann-Liouville Fractional Derivative

Gazi University, Faculty of Science, Department of Mathematics, Teknikokullar, 06500 Ankara, Turkey

Received 19 January 2013; Accepted 3 April 2013

Academic Editor: Mohamed Kamal Aouf

Copyright © 2013 Bayram Çekim and Esra Erkuş-Duman. 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. K. S. Miller and B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, John Wiley & Sons, New York, NY, USA, 1993. View at MathSciNet
  2. K. B. Oldham and J. Spanier, The Fractional Calculus; Theory and Applications of Differentiation and Integration to Arbitrary Order, Mathematics in Science and Engineering, Academic Press, New York, NY, USA, 1974. View at MathSciNet
  3. I. Podlubny, Fractional Differential Equations, Mathematics in Science and Engineering, Academic Press, San Diego, Calif, USA, 1999. View at MathSciNet
  4. G. Jumarie, “Fractional Euler'sintegral of first and second kinds. Application to fractional Hermite's polynomials and to probability density of fractional orders,” Journal of Applied Mathematics & Informatics, vol. 28, no. 1-2, pp. 257–273, 2010.
  5. I. Fujiwara, “A unified presentation of classical orthogonal polynomials,” Mathematica Japonica, vol. 11, pp. 133–148, 1966. View at Zentralblatt MATH · View at MathSciNet
  6. S. P. Mirevski, L. Boyadjiev, and R. Scherer, “On the Riemann-Liouville fractional calculus, g-Jacobi functions and F-Gauss functions,” Applied Mathematics and Computation, vol. 187, no. 1, pp. 315–325, 2007. View at Publisher · View at Google Scholar · View at MathSciNet