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Nov
22
awarded  Teacher
Nov
22
answered NIntegrate inside NSum
Nov
7
comment NIntegrate inside NSum
The problem was in the invalid testing series, that did not converge. Another sample series NSum[Exp[-Pi n] BDMAF[n, 1, 1, 1], {n, 0, Infinity}] which is closer to the original expression that I actually need converges perfectly, and works well with NIntegrate inside NSum. Case closed. Thank you for your attention.
Nov
4
comment NIntegrate inside NSum
Thanks. I rechecked the derivations and figured out that instead of Sin^2 there should be Cos^2. In this case the sum converges faster and everything works. It is strange that Mathematica did not show the message about the sum convergence.
Nov
4
awarded  Student
Nov
4
asked NIntegrate inside NSum