The Abel summation of the Kontorovich-Lebedev integral representation. (English) Zbl 1096.44002
The authors propose a new method of the Abel summation of the Kontorovich-Lebedev integral representation. The function in this representation may be the inverse Mellin transform of special function from \(L_1\)-space.
Reviewer: Alexandr L. Brodskij (Severodonetsk)
MSC:
| 44A20 | Integral transforms of special functions |
| 44A15 | Special integral transforms (Legendre, Hilbert, etc.) |
| 40G10 | Abel, Borel and power series methods |
