Extended Jacobi Functions via Riemann-Liouville Fractional Derivative
By means of the Riemann-Liouville fractional calculus, extended Jacobi functions are de fined 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 exte...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/350182 |
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| _version_ | 1850174095810887680 |
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| author | Bayram Çekim Esra Erkuş-Duman |
| author_facet | Bayram Çekim Esra Erkuş-Duman |
| author_sort | Bayram Çekim |
| collection | DOAJ |
| description | By means of the Riemann-Liouville fractional calculus, extended Jacobi functions are de
fined 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. |
| format | Article |
| id | doaj-art-d1e516f7339242ae877882ccb9801b7c |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d1e516f7339242ae877882ccb9801b7c2025-08-20T02:19:43ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/350182350182Extended Jacobi Functions via Riemann-Liouville Fractional DerivativeBayram Çekim0Esra Erkuş-Duman1Gazi University, Faculty of Science, Department of Mathematics, Teknikokullar, 06500 Ankara, TurkeyGazi University, Faculty of Science, Department of Mathematics, Teknikokullar, 06500 Ankara, TurkeyBy means of the Riemann-Liouville fractional calculus, extended Jacobi functions are de
fined 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.http://dx.doi.org/10.1155/2013/350182 |
| spellingShingle | Bayram Çekim Esra Erkuş-Duman Extended Jacobi Functions via Riemann-Liouville Fractional Derivative Abstract and Applied Analysis |
| title | Extended Jacobi Functions via Riemann-Liouville Fractional Derivative |
| title_full | Extended Jacobi Functions via Riemann-Liouville Fractional Derivative |
| title_fullStr | Extended Jacobi Functions via Riemann-Liouville Fractional Derivative |
| title_full_unstemmed | Extended Jacobi Functions via Riemann-Liouville Fractional Derivative |
| title_short | Extended Jacobi Functions via Riemann-Liouville Fractional Derivative |
| title_sort | extended jacobi functions via riemann liouville fractional derivative |
| url | http://dx.doi.org/10.1155/2013/350182 |
| work_keys_str_mv | AT bayramcekim extendedjacobifunctionsviariemannliouvillefractionalderivative AT esraerkusduman extendedjacobifunctionsviariemannliouvillefractionalderivative |