Bounds for complete elliptic integrals of the first kind |
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| Authors: | Szil rd Andr s, rp d Baricz |
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| Affiliation: | a Department of Applied Mathematics, Babeş-Bolyai University, Cluj-Napoca 400084, Romania;b Department of Economics, Babeş-Bolyai University, Cluj-Napoca 400591, Romania |
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| Abstract: | In this note by using some elementary computations we present some new sharp lower and upper bounds for the complete elliptic integrals of the first kind. These results improve some known bounds in the literature and are deduced from the well-known Wallis inequality, which has been studied extensively in the last 10 years. |
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| Keywords: | Hypergeometric function Elliptic integrals Wallis’ inequality Bounds |
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