Skew doubled shifted plane partitions: Calculus and asymptotics

<p style='text-indent:20px;'>In this paper, we establish a new summation formula for Schur processes, called the <i>complete formula</i>. As an application, obtain generating function and asymptotic number of <i>doubled shifted plane partitions</i>, which can be viewed as partitions "shifted at two sides". We prove that order depends only on diagonal width doubled partition, not profile (the skew zone) itself. By using similar methods, <i>symmetric cylindric partitions</i> are also derived.</p>