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On The Summability Of A Certain Class Of Series Of Jacobi Polynomials, A. P. Cowgill
On The Summability Of A Certain Class Of Series Of Jacobi Polynomials, A. P. Cowgill
Department of Mathematics: Faculty Publications
The result obtained in this paper is as follows:
The series Σni[((p + 1)(p +3)…(p +2n -1)) ÷(2nn!) X((p-1)/2)n (x), where Xn(p-1)/2(x) (hereafter indicated simply by Xn) is a symmetric Jacobi polynomial p >-1, and i a positive integer, is summable (C, k),k>i—1/2, for the range -1 <x<1.