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Date: 27-10-2019
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Date: 3-3-2020
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Date: 3-6-2020
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By analogy with the tanc function, define the tanhc function by
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(1) |
It has derivative
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(2) |
The indefinite integral can apparently not be done in closed form in terms of conventionally defined functions.
It has maximum at , and positive inflection point at the solution to
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(3) |
which is 0.919937667... (OEIS A133919).
It has a unique real fixed point at 0.82242927726... (OEIS A133918).
REFERENCES:
Sloane, N. J. A. Sequences A133918 and A133919 in "The On-Line Encyclopedia of Integer Sequences."
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