[2] S. Kleene: 
Recursive functionals and quantifiers of finite types I. Trans. Amer. Math. Soc. 91 (1959), 1-52. 
MR 0102480 | 
Zbl 0088.01301[3] J. Fenstad: 
General recursion theory. Perspectives in mathematical logic, Springer-Verlag (1980). 
MR 0584262 | 
Zbl 0439.03030[4] H. Friedman: 
Axiomatic recursive function theory. Logic colloquium '69, North-Holland (1971), 113-137. 
MR 0276082 | 
Zbl 0221.02019[5] A. Kechris, Y. Moschovakis: 
Recursion in higher types. Handbook of mathematical logic, North-Holland (1977), 681 -737. 
MR 0457132[6] R.  Mijoule: 
L'universalité des semi-fonctions récursives universelles. Diagrammes Vol. 12 (1984). 
MR 0800499 | 
Zbl 0564.18002[7] R. Paré, D. Schumacher: 
Abstract families and the adjoint functor theorems. Lectures notes in mathematics 661 (1978). 
MR 0514193[8] H. Rogers, Jr.: 
Theory of recursive functions  and effective  computability. New York, MacGraw-Hill (1967). 
MR 0224462 | 
Zbl 0183.01401[9] R. Rosebrugh: 
On defining objects by recursion in a topos. Journal of pure and applied algebra 20 (1981), 325-335. 
MR 0604324 | 
Zbl 0459.18002