Geodesic
On $R$-Universal Functions
Matematičeskie zametki, Tome 78 (2005) no. 2, pp. 259-264.

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We prove that the $\rho$-resemblance type of an $R$-universal function ($R\ne\varnothing,\mathbb N$) ) consists of one isomorphism type, but of more than one $\rho$-recursive isomorphism type. 
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E. A. Polyakov. On $R$-Universal Functions. Matematičeskie zametki, Tome 78 (2005) no. 2, pp. 259-264. http://geodesic.mathdoc.fr/item/MZM_2005_78_2_a10/

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[2] Polyakov E. A., Perov A. E., “$F_\rho$-funktsii”, Matem. zametki, 74:4 (2003), 559–563 | MR | Zbl

[3] Rodzhers Kh., Teoriya rekursivnykh funktsii i effektivnaya vychislimost, Mir, M., 1972 | MR