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

Opuscula Mathematica

# 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