The phrase "a special task for" is correct and usable in written English.
It can be used when referring to a specific assignment or duty that is unique or designated for someone or something.
Example: "The manager assigned a special task for the new intern to help with the upcoming project."
Alternatives: "a unique assignment for" or "a specific duty for".
We've got a special task for you this afternoon, it'll probably keep you really busy".
Lisbeth Salander, a brilliant but troubled investigator and hacker, compiles an extensive background check on Blomkvist for business magnate Henrik Vanger, who has a special task for him.
Then the teachers had a special task for all their charges: They asked the children to bring their families' bednets to school.
After informing them about malaria, the teachers had a special task for all their students: They asked them to bring their bed nets to school on Sunday morning.
The Justice Department has created a special task force for the job.
Barbara Crossette (NYT) THE AMERICAS BRAZIL: MORE BORDER TROOPS Brazil announced deployment of a special task force for the Bolivian border in an effort to shut routes to drug trafficking and contraband smuggling.
6) Call on President Obama to anoint a special task force for solving America's tennis talent shortage (foreigners living the US such as Lendel may serve).
Mr. DiFrancesco, who is also president of the State Senate, convened a special task force a year ago for just such an investigation after the revamped inspection stations opened to widespread breakdowns and long lines.
What the president should have done tonight, in addition to calling for tough financial reform, was to call for a special task force armed with thousands of investigators to look into crimes committed by the big banks.
Furthermore a special task might be to motivate parents for participation who themselves suffer less, although their children showed externalizing problems as reported by their teacher.
If Florida refuses to move its primary date into compliance with RNC rules, I am respectfully requesting that the Committee convene a special task force to select a new site for the 2012 Convention outside the state of Florida.
