On the Existence of Telescopers for P-recursive Sequences

2023/11/10 by Du, Lixin · 1 citation
#12H10 #33F10 #39A06 #68W30 #68W40 #FOS: Computer and information sciences #Symbolic Computation (cs.SC)

paper · doi:10.48550/arxiv.2311.06065

Abstract

We extend the criterion on the existence of telescopers for hypergeometric terms to the case of P-recursive sequences. This criterion is based on the concept of integral bases and the generalized Abramov-Petkovsek reduction for P-recursive sequences.

Cited by

• Order Bounds for Hypergeometric and q-Hypergeometric Creative Telescoping

Related

• Definite Sums of Hypergeometric Terms and Limits of P-Recursive Sequences
• Reduction on the congruences of partial sums of P-recursive sequences
• On the Existence of Telescopers for Mixed Hypergeometric Terms
• On the integrality of some P-recursive sequences
• On the growth of hypergeometric sequences