Böhmer integral

There are two versions, given by

\displaystyle C(x,\alpha) = \int_x^\infty t^{\alpha-1}\cos(t) \, dt

\displaystyle S(x,\alpha) = \int_x^\infty t^{\alpha-1}\sin(t) \, dt

References

Böhmer, Paul Eugen (1939), Differenzengleichungen und bestimmte Integrale. (in German), Leipzig, K. F. Koehler Verlag

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