Hospitals and insurers are continuing to pressure the state to shelve a publicly financed study that aims to bring transparency to health care costs. And though the study, which would look at contracts between hospitals and private insurance companies, is moving forward, at least one member of Governor Andrew Cuomo's inner circle is leaning toward postponing its release. Courtney Burke, the governor's deputy secretary for health, has told hospital representatives the study was not a priority and that it was on hold, though officials from the Department of Financial Services said it is moving forward, a source with knowledge of the discussions said.