ON ENTIRE SOLUTIONS OF DIFFERENT VARIANTS OF FERMAT-TYPE PARTIAL DELAY DIFFERENTIAL EQUATIONS IN SEVERAL COMPLEX VARIABLES

We introduce different variants of partial delay differential operators in ℂn which conveniently accommodate all the existing operators in the literature under one umbrella. Manipulating the operators, we extend a number of results related to the various forms of finite order transcendental entire solutions of several Fermat-type partial delay differential equations up to ℂ3. Our results are improvements of some recent results. In addition, some examples relevant to the content of the paper are exhibited.