Basic trigonometric power sums with applications

详细信息    查看全文

• 作者：Carlos M. da Fonseca ; M. Lawrence Glasser ; Victor Kowalenko
• 关键词：Basic trigonometric power sum ; Binomial coefficient ; Closed walk ; Cosine ; Cycle ; Generating function ; Graph ; Path ; Sine
• 刊名：The Ramanujan Journal
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：42
• 期：2
• 页码：401-428
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Number Theory; Field Theory and Polynomials; Combinatorics; Fourier Analysis; Functions of a Complex Variable;
• 出版者：Springer US
• ISSN：1572-9303
• 卷排序：42

文摘

We present the transformation of several sums of positive integer powers of the sine and cosine into non-trigonometric combinatorial forms. The results are applied to the derivation of generating functions and to the number of the closed walks on a path and in a cycle.