Is there a power serie such that the result of the Abel's angular convergence theorem is false if we suppress the angular convergence condition?

I have such an example where the result is false for one point of the circle of convergence (cf. http://robert.rolland.acrypta.com/telechargements/exercices/OnAbelAngularTheorem.pdf). I search an...

28 October 2018 7,485 4 View