Abstract and Applied Analysis

Extended Jacobi Functions via Riemann-Liouville Fractional Derivative

Bayram Çekim and Esra Erkuş-Duman

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Abstract

By means of the Riemann-Liouville fractional calculus, extended Jacobi functions are defined and some of their properties are obtained. Then, we compare some properties of the extended Jacobi functions extended Jacobi polynomials. Also, we derive fractional differential equation of generalized extended Jacobi functions.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 350182, 6 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511876

Digital Object Identifier
doi:10.1155/2013/350182

Mathematical Reviews number (MathSciNet)
MR3049418

Zentralblatt MATH identifier
1276.26012

Citation

Çekim, Bayram; Erkuş-Duman, Esra. Extended Jacobi Functions via Riemann-Liouville Fractional Derivative. Abstr. Appl. Anal. 2013 (2013), Article ID 350182, 6 pages. doi:10.1155/2013/350182. https://projecteuclid.org/euclid.aaa/1393511876


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References

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