© Science and Education Publishing DOI:10.12691/ajma-1-3-4 Summability of a Jacobi Series by Lower Triangular Matrix Method

Abstract The Jacobi polynomial Pn(α,β)(x) which is obtained from Jacobi differential equation is an orthogonal polynomial over the interval [-1, 1] with respect to weight function (1-x)α(1+x)β, α>-1, β>-1. Here Jacobi series has been taken and established a theorem on lower triangular matrix summability of a Jacobi series