Opuscula Mathematica
Opuscula Math. 25, no. 1 (2005), 101-107

The Abel summation of the Kontorovich-Lebedev integral representation

Petru A. Cojuhari
Alexander M. Gomilko
Abstract. A new result on the summation of the Kontorovich–Lebedev integral representation in the sense of Abel mean is given.
Keywords: integral transforms, transforms of special functions, special functions, operational calculus.
Mathematics Subject Classification: 44A20, 44A05, 44A15.
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Petru A. Cojuhari
AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Cracow, Poland
Alexander M. Gomilko
National University of Trade and Economics, Department of Higher and Applied Mathematics, Kiev, Ukraine
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Received: 2004-05-15.
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Petru A. Cojuhari, Alexander M. Gomilko, The Abel summation of the Kontorovich-Lebedev integral representation, Opuscula Math. 25, no. 1 (2005), 101-107, http://dx.doi.org/10.7494/OpMath.2005.25.1.101.
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