On the Summability and Generalized Sum of a Series of Legendre Polynomials

Authors

W. C. Brenke, University of Nebraska - Lincoln

Date of this Version

1933

Comments

Published in Bull. Amer. Math. Soc. 39 (1933) 821-824.

Abstract

The results obtained in this paper are as follows. (A) The series of Legendre polynomials Σn^pX_n(x), where p is a positive integer, is summable (H, p) for -1< x < 1, and summable (H, p +1) for - 1 ≤ x < 1 .