New Laplace transforms of Kummers confluent hypergeometric functions
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In this paper we aim to show how one can obtain so far unknown Laplace transforms of three rather general cases of Kummers confluent hypergeometric function F-1(1)(a; b; x) by employing generalizations of Gausss second summation theorem, Baileys summation theorem and Kummers summation theorem obtained earlier by Lavoie, Grondin and Rathie. The results established may be useful in theoretical physics, engineering and mathematics. (C) 2011 Elsevier Ltd. All rights reserved.