Geodesic
On the completeness of sparse subsequences of systems of functions of the form $f^{(n)}(\lambda_nz)$
Izvestiya. Mathematics , Tome 68 (2004) no. 5, pp. 1025-1049.

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We obtain some new results on the completeness of systems of functions $f^{(n)}(\lambda_nz)$ in the space of entire functions with the topology of uniform convergence on an arbitrary compact set in $\mathbb C$. In the presence of lacunae in the Taylor expansion of the function $f(z)$, we prove the existence of bases consisting of subsystems of this form. 
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A. Yu. Popov. On the completeness of sparse subsequences of systems of functions of the form $f^{(n)}(\lambda_nz)$. Izvestiya. Mathematics , Tome 68 (2004) no. 5, pp. 1025-1049. http://geodesic.mathdoc.fr/item/IM2_2004_68_5_a6/

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