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Some representation formulae for entire functions of exponential type
Published online by Cambridge University Press: 17 April 2009
Abstract
We obtain some explicit formulae for series of the type
where f is an entire function of exponential type τ, bounded on the real exis (and satisfying in the first case). These series are expressed in terms of the derivatives of f and Bernoulli numbers. We examine the case where f is a trigonometric polynomial which lead us, in particular, to a new representation of the associated Fejér mean.
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- Copyright © Australian Mathematical Society 1988
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