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Feb 19, 2020 at 18:17 comment added Iosif Pinelis @Giuseppe : I very much doubt that a closed form in terms of some special function is possible here. Mathematica's commands FunctionExpand and FullSimplify cannot do anything with this inverse function.
Feb 19, 2020 at 16:48 comment added Giuseppe Dear Iosif Pinelis, Thank you a lot for your answer ! I may indeed ressort to a Taylor Expansion untills some order to approximate the solution, however don't you think there could be a way to get a closed form in terms of some special function for example?
Feb 19, 2020 at 15:48 history edited Iosif Pinelis CC BY-SA 4.0
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Feb 19, 2020 at 15:40 history edited Iosif Pinelis CC BY-SA 4.0
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Feb 19, 2020 at 15:07 history edited Iosif Pinelis CC BY-SA 4.0
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Feb 19, 2020 at 14:57 history answered Iosif Pinelis CC BY-SA 4.0