On Kryachko's Formula for the Leaky Aquifer Function

Frank E. Harris

Department of Physics, University of Utah
Quantum Theory Project, University of Florida

Int. J. Quantum Chem. 81, 332-334 (2001)

    Kryachko recently publish ed in this journal a formula in which the incomplete Bessel function known as the Leaky Aquifer Function is expanded in Legendre functions of the second kind.  While Kryachko's analysis is ingenious, creative, and sound, it unfortunately contains errors that make its key result incorrect.  The present contribution corrects and to some degree generalizes Kryachko's formula.