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.
- 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
- Received: 2004-05-15.
