On entire functions with gap power series
Glasgow mathematical journal, Tome 12 (1971) no. 2, pp. 89-97

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In this note we consider transcendental entire functionswhose power series contain gaps, i.e.where Λ = {λk} is a suitable set of positive integers. We denote the set of all such functions f(z) by E(Λ). As usual M(r) = M(r, f) denotes the maximummodulus of f(z) on the circle |z| = r. The order p and the lower order λ of f(z) are defined byrespectively.
Anderson, J. M.; Binmore, K. G. On entire functions with gap power series. Glasgow mathematical journal, Tome 12 (1971) no. 2, pp. 89-97. doi: 10.1017/S0017089500001191
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