Generalized cosecant numbers and trigonometric inverse power sums
نویسندگان
چکیده
منابع مشابه
On Some Trigonometric Power Sums
In contrast to Fourier series, these finite power sums are over the angles equally dividing the upper-half plane. Moreover, these beautiful and somewhat surprising sums often arise in analysis. In this note, we extend the above results to the power sums as shown in identities (17), (19), (25), (26), (32), (33), (34), (35), and (36) and in the appendix. The method is based on the generating func...
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− 2 , where m is a positive integer and subject to m < n + 1 [28]. In this equation ⌊n/2⌋ denotes the floor function of n/2 or the greatest integer less than or equal to n/2. A solution to the above problem was presented shortly after by Greening et al. in [18]. Soon afterwards, there appeared a problem involving powers of the secant proposed by Gardner [15], which was solved partially by Fishe...
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ژورنال
عنوان ژورنال: Applicable Analysis and Discrete Mathematics
سال: 2018
ISSN: 1452-8630,2406-100X
DOI: 10.2298/aadm1801070f