Rising greatest factorial factorization for Gosper's algorithm
Other Title(s)
التحليل للعامل الأعظم المتصاعد و خوارزمية كوسبر
Joint Authors
Sad, Husam Luti
Abd Allah, Muhammad Khalaf
Source
Issue
Vol. 32, Issue 1A (30 Jun. 2014), pp.1-12, 12 p.
Publisher
University of Basrah College of Science
Publication Date
2014-06-30
Country of Publication
Iraq
No. of Pages
12
Main Subjects
Topics
Abstract AR
ف هزا البحث عًشف التحل لٍ للعاهل الأعظن الوتصاعذ " rising greatest factorialfactorization ( " RGFF (الزي وٌثل ص غٍت توث لٍ ق اٍس لوتعذداث الحذود الزي وٌكي اى عٌطى بشكل هواثل الى التحل لٍ للعاهل الأعظن" greatest factorial factorization (" GFF ( ولكي باستخذام الاعذاد الصح حٍت الووجبت بذلا هي الاعذاد الصح حٍت السالبت كأسس للوؤثش ) E (.
عًطً هأخورة لك فٍ تٍ حساب RGFF لأي هتعذدة حذود .
عًط أسلوبا لخواسصه تٍ گوسبش باستخذام ص غٍت توث لٍ ق اٍس هزه لوتعذداث الحذود والعاهل الوشتشك الأكبش" greatest common deviser ( " gcd ) .
Abstract EN
In this paper we define the "rising greatest factorial factorization" (RGFF) of polynomials.
It is a canonical form representation which can be viewed as an analogue to the greatest factorial factorization (GFF) [V.Z.
Gathen and J.
Gerhard, 1999, P.Paule, 1995], but with a positive integer shifts instead of negative integer shifts.
We give lemma to compute the RGFF for any polynomial.
We use this canonical representation and greatest common devisor (gcd) concept to give an approach for Gosper’s algorithm [R.W, Jr.
Gosper, 1978].
American Psychological Association (APA)
Sad, Husam Luti& Abd Allah, Muhammad Khalaf. 2014. Rising greatest factorial factorization for Gosper's algorithm. Basrah Journal of Science،Vol. 32, no. 1A, pp.1-12.
https://search.emarefa.net/detail/BIM-516596
Modern Language Association (MLA)
Sad, Husam Luti& Abd Allah, Muhammad Khalaf. Rising greatest factorial factorization for Gosper's algorithm. Basrah Journal of Science Vol. 32, no. 1A (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-516596
American Medical Association (AMA)
Sad, Husam Luti& Abd Allah, Muhammad Khalaf. Rising greatest factorial factorization for Gosper's algorithm. Basrah Journal of Science. 2014. Vol. 32, no. 1A, pp.1-12.
https://search.emarefa.net/detail/BIM-516596
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 10-11
Record ID
BIM-516596