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Pandey, B. N.: On the summability of Jacobi series by (N,pn) method, Indian J. Pure Appl. math., 12 (12), 1438 -1447. 1981.

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Article

Summability of a Jacobi Series by Lower Triangular Matrix Method

1Tribhuvan University, Nepal


American Journal of Mathematical Analysis. 2013, Vol. 1 No. 3, 42-47
DOI: 10.12691/ajma-1-3-4
Copyright © 2013 Science and Education Publishing

Cite this paper:
Binod Prasad Dhakal. Summability of a Jacobi Series by Lower Triangular Matrix Method. American Journal of Mathematical Analysis. 2013; 1(3):42-47. doi: 10.12691/ajma-1-3-4.

Correspondence to: Binod  Prasad Dhakal, Tribhuvan University, Nepal. Email: binod_dhakal2004@yahoo.com

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.

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