We say that an entire function is structurally finite if it is constructed from a finite number of quadratic polynomials and exponential functions by Maskit surgeries. In this note, we show that every structurally finite entire function has an explicit representation.
Masahiko Taniguchi. "Explicit representation of structurally finite entire functions." Proc. Japan Acad. Ser. A Math. Sci. 77 (4) 68 - 70, April 2001. https://doi.org/10.3792/pjaa.77.68