All Questions
2
questions
13
votes
1
answer
461
views
A logarithmic integral, generalization of a result of Shalev
As many of you are already aware, I and Marco Cantarini are currently working on the applications of fractional operators to hypergeometric series, extending the class of $\phantom{}_{p+1} F_p$s whose ...
- 355k
10
votes
1
answer
600
views
Indefinite integral $\int \arcsin \left(k\sin x\right) dx$
It would take too long to explain the context reasonably well - but in short, this integral, or rather its equivalent
$$\int\frac{x\cos x\,dx}{\sqrt{1-k^2\sin^2x}},\qquad 0<k<1$$
is related to ...
- 53.4k