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On entire functions with gap power series
Published online by Cambridge University Press: 18 May 2009
Extract
In this note we consider transcendental entire functions
whose 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 by
respectively.
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- Copyright © Glasgow Mathematical Journal Trust 1971
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