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On Kryachko's formula for the leaky aquifer function
Author(s) -
Harris Frank E.
Publication year - 2001
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/1097-461x(2001)81:5<332::aid-qua1002>3.0.co;2-w
Subject(s) - bessel function , legendre polynomials , function (biology) , aquifer , key (lock) , degree (music) , mathematics , mathematical analysis , geology , physics , computer science , geotechnical engineering , groundwater , computer security , evolutionary biology , acoustics , biology
Kryachko recently published 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. © 2001 John Wiley & Sons, Inc. Int J Quant Chem 81: 332–334, 2001