\textit{A. K. Chongdar} [J. Orissa Math. Soc. 2, No.2, 71-85 (1983; Zbl 0571.33007)] studied Gegenbauer polynomials \(C_ n^{\gamma}(x)\) to obtain generating functions by following Weisner's group-theoretic method by means of suitable interpretations to both the index and the parameter of the polynomials. Subsequently \textit{T. I. Sultan} [J. Pure Math. 4, 79- 101 (1984; Zbl 0614.33012)] made a critical survey of the group-theoretic method applied to Gegenbauer polynomials and remarked that double interpretation in the work of Chongdar is not necessary on account of the fact that a single interpretation to a suitable modified Gegenbauer polynomial gave rise to the same generating functions. The reviewer feels that the same remark can be made in connection with the present work. Furthermore subcases of case 1 and case 2 reveal that the results of the present paper are not original in nature.