On pseudo-primality of the \(2n\)-th power of prime entire functions
The author proves a number of results on prime entire functions. The most interesting is his Theorem 2: Let \(F(z)\) be a right prime entire function and \(F^{2n}(z)\) is not pseudo-prime for some natural number \(n\). Then there must exist a transcendental entire function \(h(\omega)\) such that \(F(z)=\cos(az+b)h(\sin(az+b))\), \(a\) and \(b\) are constants.
scientific article; zbMATH DE number 4067309