@article{oai:ir.kagoshima-u.ac.jp:00012753,
author = {MURASHIMA, Sadayuki and 村島, 定行 and KIYONO, Takeshi and 清野, 武},
journal = {鹿児島大学工学部研究報告, The Research Reports of the Faculty of Engineering, Kagoshima University},
month = {Sep},
note = {The solutions of the Bessel equation･･･[omitted] are discussed in detail. The modified Bessel Functions K_ν(x) and I_ν(x) are the two independent solutions of above equation when the order is purely imaginary, i.e., ν=is. The value of the function K_{is}(x) is real while the value of the function I_{is}(x) is complex for real s and x. Hence a new real function M_{is}(x) is introduced in place of the complex function I_{is}(x). Some series expansions for K_{is}(x) and M_{is}(x) are given. The possibility to compute the value of these functions and their derivatives by the use of their series expansions are discussed and a practical procedure with the accuracy of the eight decimal places is presented. Short tables for K_{is}(x) and M_{is}(x) and their related functions are given. Some related formulas with K_{is}(x) are also collected.},
pages = {91--131},
title = {Modified Bessel Functions of Purely Imaginary Order K_{is}(x), I_{is}(x) and their Related Functions},
volume = {15},
year = {1973}
}