The phrase "a function of limited" is grammatically correct and can be used in written English.
It is typically used in contexts where you are discussing something that is dependent on or influenced by limited factors or conditions.
Example: "The success of the project is a function of limited resources and time constraints."
Alternatives: "dependent on limited" or "determined by limited".
Partly it is a function of limited resources Sierra Leone is a very poor country.
There is reason to suspect that these deficits manifest as a function of limited cognitive resources.
Whereas high housing prices were once a sign of growth because they indicated strong demand, now they are more a function of limited supply.
The online version of Watson's map is somewhat unwieldy again a function of limited funding, and of the enormous amount of time that both the historical and technical work of mapping requires.
The undeniable underrepresentation of women on op-ed pages has always struck me as more a function of limited supply (women willing to speak out) than inadequate demand (male chauvinist editors).
The varying turn strategy may be a function of limited instructions provided to the child, or ongoing development in the children's COM control.
We have developed a mathematical theory that describes the regulation of signaling pathways as a function of a limited number of key parameters.
It's hard not to view this as a function of the limited role for women in society at the time.
They were victims of circumstance and bad luck; their incapacity to adapt and form a cohesive, evolving culture was a function of their limited and geographically separated population.
Moreover, the low number of CSF samples from natalizumab-treated MS patients that tested positive for HHV-6 sequences, although higher than what was expected from untreated MS patients, may be a function of the limited size of this cohort; or alternatively HHV-6 in the CSF may not be reflective of the levels of HHV-6 in the CNS.
This is probably a function of the limited data available at the time the WHO estimates were developed (prior to 2004), and the on-going development of prevention of blindness activities (in particular a large increase in the numbers of cataract surgeries being performed) that have become established in east and southern Africa.
