Harmonic number identities and Hermite-Padé approximations to the logarithm function

26Citations
Citations of this article
7Readers
Mendeley users who have this article in their library.

Abstract

By decomposing rational functions into partial fractions, we will establish several striking harmonic number identities including the hardest challenges discovered recently by Driver et al. [Padé approximations to the logarithm II: identities, recurrences and symbolic computation, Ramanujan J., 2003, to appear]. As application, we construct explicitly the generalized Hermite-Padé approximants to the logarithm and therefore resolve completely this open problem in the general case. © 2005 Elsevier Inc. All rights reserved.

Cite

CITATION STYLE

APA

Chu, W. (2005). Harmonic number identities and Hermite-Padé approximations to the logarithm function. Journal of Approximation Theory, 137(1), 42–56. https://doi.org/10.1016/j.jat.2005.07.008

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free