Dear members, I have got a summation formula which I would like to be able to reduce or find some useful equivalent expression for that with certain sense. The summation is:
S = Sum( ((k+1). S_k) / (k - m + 1)! ) when the sum starts from k=m-1 to Infinite. Where ! is the factorial operator. Being S_k the Stieltjes constants.
Thanks in advance!
The Sk is every Stieltles constant, for each k=m-1:.... so on. I mean, from tables, we have Stieltles like S0: S0=0.5772156649015328606065120900824024310421593359A0016201
S1=−0.0728158454836767248605863758749013191377363383
..
...
Sk
I am studying this summation for understanding some connection with Gamma(s), pi at s/2 and other expressions or functions realted to each other to this. I have some identities, but this summation might have another steps.
Thanks!
Carlos
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