Extended Jacobi Functions via Riemann-Liouville Fractional Derivative | Zendy

Bayram Çekіm | Zendy; Esra Erkuş-Duman | Zendy

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Extended Jacobi Functions via Riemann-Liouville Fractional Derivative

Author(s) -

Bayram Çekіm,

Esra Erkuş-Duman

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/350182

Subject(s) - mathematics , fractional calculus , jacobi polynomials , jacobi method , derivative (finance) , jacobi operator , riemann hypothesis , pure mathematics , mathematical analysis , orthogonal polynomials , financial economics , economics

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

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