Bilinear and Bilateral Generating Relations Involving Restricted Jacobi and Laguerre Polynomials
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Keywords:
Restricted Jacobi polynomials, Generating relations, Bilinear and Bilateral Generating function, Restricted Laguerre PolynomialsAbstract
In this paper we obtain a bilinear generating relation for the restricted Jacobi polynomials, using the fractional derivative technique. By the process of confluence, a number of interesting linear, bilinear and bilateral generating relations for the restricted Jacobi and Laguerre polynomials, are derived as special cases. Known generating relations of Khan [7,8] are also deduced.
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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.