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Gosper's algorithm and rational solutions of first order recurrences Husam L. Sad.
Author
Source
Maisan Journal of Academic Studies
Issue
Vol. 7, Issue 13 (31 Dec. 2008), pp.9-21, 13 p.
Publisher
University of Misan Faculty of Basic Education
Publication Date
2008-12-31
Country of Publication
Iraq
No. of Pages
13
Main Subjects
Topics
Abstract AR
في هذا البحث نعطي أسلوبين لخوارزمية جوسبر.
كذلك نعطي تحليل لدرجة نوع محدد من الدوال النسبية لمعادلة تكرارية من الرتبة الأولى.
علاوة على ذلك نقدم أسلوب لإيجاد الحلول النسبية لمعادلة تكرارية من الرتبة الأولى.
Abstract EN
In this paper we give two approaches for Gosper's algorithm.
Also we give analysis to the degree of rational solutions of certain first order difference equation.
Furthermore, we present an approach to find rational solutions of first order recurrences.
: Gosper's algorithm, hypergeometric solution, rational solution.
1.
Notations Let be the set of natural numbers, be the field of characteristic zero, be the field of rational functions over , be the ring of polynomials over , deg( ) denotes the polynomial degree (in ) of any , .
We define .
We assume the result of any gcd (greatest common divisor) computation in as being normalized to a monic polynomial , i.e., the leading coefficient of being 1.
Recall that a non-zero term is called a hypergeometric term over if there exists a rational function such that
American Psychological Association (APA)
Sad, Husam Luti. 2008. Gosper's algorithm and rational solutions of first order recurrences Husam L. Sad.. Maisan Journal of Academic Studies،Vol. 7, no. 13, pp.9-21.
https://search.emarefa.net/detail/BIM-262351
Modern Language Association (MLA)
Sad, Husam Luti. Gosper's algorithm and rational solutions of first order recurrences Husam L. Sad.. Maisan Journal of Academic Studies Vol. 7, no. 13 (Dec. 2008), pp.9-21.
https://search.emarefa.net/detail/BIM-262351
American Medical Association (AMA)
Sad, Husam Luti. Gosper's algorithm and rational solutions of first order recurrences Husam L. Sad.. Maisan Journal of Academic Studies. 2008. Vol. 7, no. 13, pp.9-21.
https://search.emarefa.net/detail/BIM-262351
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 19-20
Record ID
BIM-262351