Summation formulae on trigonometric functions |
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Authors: | Xin Wang De-Yin Zheng |
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Institution: | a Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, PR China b Dalian Naval Academy, Dalian 116018, PR China |
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Abstract: | Trigonometric sums over the angles equally distributed on the upper half plane are investigated systematically. Their generating functions and explicit formulae are established through the combination of the formal power series method and partial fraction decompositions. |
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Keywords: | Generating function Finite difference Trigonometric sum |
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