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

Basrah Journal of Science

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

Mathematics

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