The basic and extended identities for certain q-polynomials
Author
Source
Issue
Vol. 2, Issue 2 (30 Apr. 2012), pp.11-23, 13 p.
Publisher
University of Thi-Qar College of Education
Publication Date
2012-04-30
Country of Publication
Iraq
No. of Pages
13
Main Subjects
Topics
Abstract AR
سنقدم في هذا البحث الدالة المولدة و صيغة ملر و صيغة روجر و الصيغة الخطية و معكوس الصيغة الخطية لمتعددات الحدود (x ; q) Gn (المعرفة في المصدر [3]).
كذلك سنقدم توسيعا للدالة المولدة و توسيعا لصيغة روجر لمتعددات الحدود (x ; q)Gn ، حيث سيحتوي توسيع الدالة المولدة على المجموع 2 ▫ 1، أما توسيع صيغة روجر فسيحتوي المجموع 3 ▫ 2.
كل المتطابقات المقدمة في هذا البحث ستشتق بالاعتماد على قوانين المؤثر الأسي (θ) E بعد استخدام هذا المؤثر في تمثيل متعددات الحدود (x ; q) Gn.
Abstract EN
In this paper, we introduce the generating function, Mahler's formula, Roger’s formula, the linearization formula and the inverse relation of the linearization formula of the polynomials, which is defined by L.
Carlitz [3].
Also we introduce an extension of the generating function and extension of the Roger’s formula, the extended generating function of involves a 2 □ 1 sum and the extended Rogers formula involves a 3 □ 2 sum. All identities will be derived depending on the roles of the exponential operator E (Ɵ) after representing the polynomials Gn (xiq) by this operator.
American Psychological Association (APA)
Abd al-Husayn, Muhammad A.. 2012. The basic and extended identities for certain q-polynomials. College of Education Journal،Vol. 2, no. 2, pp.11-23.
https://search.emarefa.net/detail/BIM-312107
Modern Language Association (MLA)
Abd al-Husayn, Muhammad A.. The basic and extended identities for certain q-polynomials. College of Education Journal Vol. 2, no. 2 (Apr. 2012), pp.11-23.
https://search.emarefa.net/detail/BIM-312107
American Medical Association (AMA)
Abd al-Husayn, Muhammad A.. The basic and extended identities for certain q-polynomials. College of Education Journal. 2012. Vol. 2, no. 2, pp.11-23.
https://search.emarefa.net/detail/BIM-312107
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 22-23
Record ID
BIM-312107