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Abstract:
In this paper we give a description of the coefficients of the asymptotic expansion of the logarithmic derivative of a family of hypergeometric series. This family
plays an important role in the computation of the reduced genus one Gromov-Witten invariants of projective hypersurfaces and the confirmation of Bershadsky, Cecotti, Ooguri,
Vafa (BCOV) conjecture for genus one Gromov-Witten invariants of a generic quintic
threefold by Zinger.