Some generating functions of modified Gegenbauer polynomials |
| |
Authors: | Bandana Ghosh |
| |
Institution: | 1. 743 302, Ukilpara, Baruipur, South 24-Parganas, India
|
| |
Abstract: | L Weisner's group theoretic method has been introduced in the study of special function. In this paper we obtain two differential operators, one of which simultaneously raises the index and lowers the parameter of modified Gegenbauer polynomialsC n v+n (x) by unity and the other acts onC n v+n(x) in the reversed way by suitable interpretation to the indexn and the parameterv ofC n v+n(x) . We have also found out the extended form of the groups generated by the operatorsA ij(i,j=1,2). We have also derived some novel generating functions ofC n v+n (x) from which several special generating functions can be easily derived. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|