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On a multivariable extension for the extended Jacobi polynomials |
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| Authors: | Abdullah Alt?n |
| Institution: | a Eastern Mediterranean University, Faculty of Arts and Sciences, Department of Mathematics, Gazi Magusa, Mersin 10, Turkey b Ankara University, Faculty of Science, Department of Mathematics, Tando?an TR-06100, Ankara, Turkey c Gazi University, Faculty of Sciences and Arts, Department of Mathematics, Teknikokullar TR-06500, Ankara, Turkey |
| Abstract: | The main object of this paper is to construct a systematic investigation of a multivariable extension of the extended Jacobi polynomials and give some relations for these polynomials. We derive various families of multilinear and multilateral generating functions. We also obtain relations between the polynomials extended Jacobi polynomials and some other well-known polynomials. Other miscellaneous properties of these general families of multivariable polynomials are also discussed. Furthermore, some special cases of the results are presented in this study. |
| Keywords: | Extended Jacobi polynomials Lagrange polynomials Chan-Chyan-Srivastava multivariable polynomials Hypergeometric function Multilinear and multilateral generating functions Integral representation |
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