On the factorization of the function $B_\alpha$
Matematičeskie zametki, Tome 4 (1968) no. 1, pp. 3-10.

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In this note a more precise definition is given for one of the representations of the function $B_\alpha$ with the help of a well known theorem about non-negative trigonometric series and by a direct evaluation.
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M. M. Dzhrbashyan; V. S. Zakharyan. On the factorization of the function $B_\alpha$. Matematičeskie zametki, Tome 4 (1968) no. 1, pp. 3-10. http://geodesic.mathdoc.fr/item/MZM_1968_4_1_a0/