Lindelöf Representations and (Non-)Holonomic Sequences

Details Lindelöf Representations and (Non-)Holonomic Sequences Lindelöf Representations and (Non-)Holonomic Sequences

2009-06-10

arxiv.org/abs/0906.1957v2

Mathematics

Combinatorics

24 pages

Scientific paper

Various sequences that possess explicit analytic expressions can be analysed asymptotically through integral representations due to Lindel\"of, which belong to an attractive but somewhat neglected chapter of complex analysis. One of the outcomes of such analyses concerns the non-existence of linear recurrences with polynomial coefficients annihilating these sequences, and, accordingly, the non-existence of linear differential equations with polynomial coefficients annihilating their generating functions. In particular, the corresponding generating functions are transcendental. Asymptotic estimates of certain finite difference sequences come out as a byproduct of the Lindel\"of approach.

Affiliated with

Also associated with

No associations

Rating

Lindelöf Representations and (Non-)Holonomic Sequences does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lindelöf Representations and (Non-)Holonomic Sequences, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lindelöf Representations and (Non-)Holonomic Sequences will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-207462