arXiv Open Access 2014

A Generalized Apagodu-Zeilberger Algorithm

Shaoshi Chen Manuel Kauers Christoph Koutschan

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Abstrak

The Apagodu-Zeilberger algorithm can be used for computing annihilating operators for definite sums over hypergeometric terms, or for definite integrals over hyperexponential functions. In this paper, we propose a generalization of this algorithm which is applicable to arbitrary $\partial$-finite functions. In analogy to the hypergeometric case, we introduce the notion of proper $\partial$-finite functions. We show that the algorithm always succeeds for these functions, and we give a tight a priori bound for the order of the output operator.

Topik & Kata Kunci

cs.SC

Penulis (3)

Shaoshi Chen

Manuel Kauers

Christoph Koutschan

Format Sitasi

APA MLA BibTeX

Chen, S., Kauers, M., Koutschan, C. (2014). A Generalized Apagodu-Zeilberger Algorithm. https://arxiv.org/abs/1402.2409

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Informasi Jurnal

Tahun Terbit: 2014
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓