Salvy's conjecture on the asymptotic order of the coefficients of the exponential integral
Let f1(z)=exE1(x)f_1(z)=e^xE_1(x)f1(z)=exE1(x), where x=1/(1−z)x=1/(1-z)x=1/(1−z) and … Write f1(z)=∑n≥0bnznf_1(z)=\sum_{n\geq 0}b_nz^nf1(z)=∑n≥0bnzn in the open unit disk. Salvy's conjecture. The coefficients bnb_nbn are of order…