Monotonicity Results of Ratios between Normalized Tails of Maclaurin Power Series Expansions of Sine and Cosine

Da-Wei Niu and Feng Qi ()
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Da-Wei Niu: Department of Science, Henan University of Animal Husbandry and Economy, Zhengzhou 450046, China
Feng Qi: School of Mathematics and Physics, Hulunbuir University, Hulunbuir 021008, China

Mathematics, 2024, vol. 12, issue 12, 1-20

Abstract: In the paper, the authors establish the monotonicity results of the ratios between normalized tails of the Maclaurin power series expansions of the sine and cosine functions and restate them in terms of the generalized hypergeometric functions.

Keywords: monotonicity; ratio; Maclaurin power series expansion; normalized tail; sine; cosine; integral representation; generalized hypergeometric function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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