Construction of generating functions of the products of Vieta polynomials with Gaussian numbers and polynomials | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 50، دوره 12، شماره 1، مرداد 2021، صفحه 649-668 اصل مقاله (426.12 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4868 | ||
| نویسندگان | ||
| Souhila Boughaba1؛ Nabiha Saba2؛ Ali Boussayoud* 3 | ||
| 1LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria | ||
| 2LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria | ||
| 3LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria. | ||
| چکیده | ||
| In the present paper, we introduce the recurrence relations of Vieta Fibonacci, Vieta Lucas, Vieta Pell and Vieta Pell Lucas polynomials. We obtain the generating functions of these polynomials, then we give the new generating functions of the products of these polynomials and the products of these polynomials with Gaussian numbers and polynomials. These results are based on the relation between Vieta polynomials and Chebyshev polynomials of first and second kinds. | ||
| کلیدواژهها | ||
| Generating functions؛ Vieta Fibonacci polynomials؛ Vieta Lucas polynomials؛ Vieta Pell polynomials؛ Gaussian numbers | ||
| مراجع | ||
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