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May 8, 2015 at 20:31 comment added Suvrit But looking back, since Sergei's idea resolved the original question, it should be accepted, no? (so that the question attains "answered" status)
May 8, 2015 at 18:27 comment added GH from MO OK, fair enough. I admit I did not read your post carefully.
May 8, 2015 at 18:07 history edited Iosif Pinelis CC BY-SA 3.0
deleted 36 characters in body
May 8, 2015 at 18:07 comment added Iosif Pinelis GH: Thank you for the comment. My latest post details Sergei's answer (by providing a proof of the identity he cited) and complements it (by the remark about completely monotone functions). So, I don't see why that post belongs with the question rather than with the answers.
May 8, 2015 at 16:39 comment added GH from MO I think your question was not a silly one. On the other hand, your post above is not an answer to your own question (rather, it is a comment), so it should be included in your original post, as part of the question or as a remark following the question. Only answers (or partial answers) should go in the answer fields.
May 8, 2015 at 16:26 comment added Iosif Pinelis Added a comment concerning an arbitrary completely monotone function in place of $1/(\cdot+c)^{p+1}$.
May 8, 2015 at 16:25 history edited Iosif Pinelis CC BY-SA 3.0
added comment concerning any completely monotone function in place of $1/(\cdot+c)^{p+1}}$.
May 8, 2015 at 14:06 history answered Iosif Pinelis CC BY-SA 3.0