  We extend Norton-Borcherds-Koike's replication formulae to super-replicable
ones by working with the congruence groups $\Gamma_1(N)$ and find the product
identities which characterize super-replicable functions. These will provide a
clue for constructing certain new infinite dimensional Lie superalgebras whose
denominator identities coincide with the above product identities. Therefore it
could be one way to find a connection between modular functions and infinite
dimensional Lie algebras.
