A conjecture concerning a completely monotonic function
On the basis of a sequence of numerical computations, a conjecture is presented regarding the class of functions H(x;a)=exp(a)?(1+a/x)x H ( x ; a ) = exp ( a ) ? ( 1 + a / x ) x , and the open problem of determining the values of a a for which the functions are completely monotonic with respect to x x . The critical value of a a is determined here to sufficient accuracy to show that it is not a simple symbolic quantity.
completely monotonic function experimental mathematics