(CNN) New York is the epicenter of the coronavirus pandemic in the US.

federal funding to help health care facilities combat the outbreak, sparking complaints from But while the state's hospitals were overflowing with coronavirus patients , they didn't get special priority in an initial round offederal funding to help health care facilities combat the outbreak, sparking complaints from Gov. Andrew Cuomo , state lawmakers and hospital officials.

The Trump administration last week began distributing a $100 billion fund set up by Congress to compensate hospitals for higher expenses and lost revenue battling the virus. However, the first $30 billion was doled out based on prior Medicare reimbursements, not the share of coronavirus patients -- which means New York and other hard-hit areas didn't get an extra boost when they needed it most.

New York hospitals' allotment is estimated at about $970 million, according to Ken Raske, president of the Greater New York Hospital Association. It should have been "at least six times that amount," said Raske. He complained to the White House, but received no promises for future funding.

"New York hospitals have turned themselves upside down and inside out to battle Covid-19," said Raske, noting that each of the five major New York City metro area hospital systems are spending up to $450 million a month to treat coronavirus patients. "We're losing our shirts."

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