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On the Structure of Solutions to the Key Gosper Equation in Problems of Symbolic Summation
- Authors: Zima E.V.1
-
Affiliations:
- Wilfrid Laurier University
- Issue: Vol 63, No 1 (2023)
- Pages: 43-50
- Section: General numerical methods
- URL: https://journals.rcsi.science/0044-4669/article/view/134286
- DOI: https://doi.org/10.31857/S0044466923010155
- EDN: https://elibrary.ru/LEDEOY
- ID: 134286
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Abstract
The structure of polynomial solutions to the Gosper’s key equation is analyzed. A method for rapid “extraction” of simple high-degree factors of the solution is given. It is shown that in cases when equation corresponds to a summable non-rational hypergeometric term the Gosper’s algorithm can be accelerated by removing non-essential dependency of its running time on the value of dispersion of its rational certificate.
About the authors
E. V. Zima
Wilfrid Laurier University
Author for correspondence.
Email: ezima@wlu.ca
Waterloo, Canada
References
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