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Alternating reflection method on conics leading to inverse trigonometric and hyperbolic functions

  • Received: 13 December 2021 Revised: 27 March 2022 Accepted: 07 April 2022 Published: 18 April 2022
  • MSC : Primary: 65D20; Secondary: 68Q25

  • An unusual alternating reflection method on conics is presented to evaluate inverse trigonometric and hyperbolic functions.

    Citation: François Dubeau. Alternating reflection method on conics leading to inverse trigonometric and hyperbolic functions[J]. AIMS Mathematics, 2022, 7(7): 11708-11717. doi: 10.3934/math.2022652

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  • An unusual alternating reflection method on conics is presented to evaluate inverse trigonometric and hyperbolic functions.



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    [2] F. Dubeau, Collisions, or reflections and rotations, leading to the digits of $\pi$, Open Journal of Mathematical Sciences, to appear, 2022.
    [3] F. Dubeau, Hyperbolic reflections leading to the digits of $\ln(2)$, J. Appl. Math. Phys., 10 (2022), 112–131. http://dx.doi.org/10.4236/jamp.2022.101009 doi: 10.4236/jamp.2022.101009
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    [7] D. H. Bailey, P. B. Borwein, S. Plouffe, On the rapid computation of various polylogarithmic constants, Math. Comp., 66 (1997), 903–913. http://dx.doi.org/10.1090/S0025-5718-97-00856-9 doi: 10.1090/S0025-5718-97-00856-9
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