@

author = {Manuel Kauers and Veronika Pillwein},}

title = {{When can we detect that a P-finite sequence is positive?}},

booktitle = {{Proceedings of ISSAC'10}},

language = {english},

abstract = {We consider two algorithms which can be used for proving positivity of sequences that are defined by a linear recurrence equation with polynomial coefficients (P-finite sequences). Both algorithms have in common that while they do succeed on a great many examples, there is no guarantee for them to terminate, and they do in fact not terminate for every input. For some restricted classes of P-finite recurrence equations of order up to three we provide a priori criteria that assert the termination of the algorithms.},

pages = {195--202},

isbn_issn = {978-1-4503-0150-3},

year = {2010},

editor = {Stephen Watt},

refereed = {yes},

length = {7}