Evaluation of some reciprocal trigonometric sums via partial fraction decomposition
Other Title(s)
تقييم بعض عمليات الجمع المثلثية التبادلية من خلال تحلل الكسر الجزئي
Joint Authors
Arıkan, Talha
Prodinger, Helmut
Source
Issue
Vol. 47, Issue 1 (31 Jan. 2020), pp.14-21, 8 p.
Publisher
Kuwait University Academic Publication Council
Publication Date
2020-01-31
Country of Publication
Kuwait
No. of Pages
8
Main Subjects
Abstract AR
في الآونة الأخيرة، قام ملهام بحساب بعض عمليات الجمع المنتهية التي يتضمن فيها المقام ناتج "جيب الزاوية" أو "جيب التمام“.
في هذا البحث، تم تقديم تعاميم لعمليات الجمع التي درسها في عام 2016، من خلال السماح بعوامل عشوائية في المقام.
و نهجنا الحالي يستخدم التقنية الأولية لتحلل الكسر الجزئي.
علاوة على ذلك، تم التعامل مع بعض العمليات التي درسها في عام 2017 بنفس الأسلوب.
Abstract EN
Recently, Melham computed some finite sums in which the denominator of the summand includes products of ‘sine’ or ‘cosine’.
In this paper, generalizations of the sums, which he studied in 2016, are presented, by allowing arbitrary factors in the denominator of the summand.
Our approach uses the elementary technique of partial fraction decomposition.
Furthermore, some of the sums, which he studied in 2017, are treated in the same style.
American Psychological Association (APA)
Arıkan, Talha& Prodinger, Helmut. 2020. Evaluation of some reciprocal trigonometric sums via partial fraction decomposition. Kuwait Journal of Science،Vol. 47, no. 1, pp.14-21.
https://search.emarefa.net/detail/BIM-1500243
Modern Language Association (MLA)
Arıkan, Talha& Prodinger, Helmut. Evaluation of some reciprocal trigonometric sums via partial fraction decomposition. Kuwait Journal of Science Vol. 47, no. 1 (Jan. 2020), pp.14-21.
https://search.emarefa.net/detail/BIM-1500243
American Medical Association (AMA)
Arıkan, Talha& Prodinger, Helmut. Evaluation of some reciprocal trigonometric sums via partial fraction decomposition. Kuwait Journal of Science. 2020. Vol. 47, no. 1, pp.14-21.
https://search.emarefa.net/detail/BIM-1500243
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 20
Record ID
BIM-1500243
