Abstract: This is a joint work with D. van Straten. I will discuss computation of the Picard-Fuchs operators for certain one-parameter families of double octic Calabi-Yau threefolds. Our method is based on conifold expansion and works for approximately one third of the one parameter families listed in C. Meyer's book. I will present explicit examples of one parameter families of double octics with special properties of the Picard-Fuchs operator: one without a point of maximal unipotent monodromy (MUM) and
one with three MUM points.