Kyrychenko, A. M.; Lenyuk, M. P. Calculation of improper integrals on polar axis \(r\geq R_0>0\) by means of Kontorovich-Lebedev-Legendre integral transforms. (Ukrainian. English summary) Zbl 0953.44002 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 1999, No. 3, 21-25 (1999). Summary: A family of improper multiparametric integrals on adjoint Legendre functions and modified Bessel functions is calculated by means of Kantorovich-Lebedev-Legendre integral transforms. MSC: 44A20 Integral transforms of special functions 44A15 Special integral transforms (Legendre, Hilbert, etc.) 33C10 Bessel and Airy functions, cylinder functions, \({}_0F_1\) 33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) Keywords:Bessel function; adjoint Legendre function; improper multiparametric integral; Kontorovich-Lebedev-Legendre integral transform PDFBibTeX XMLCite \textit{A. M. Kyrychenko} and \textit{M. P. Lenyuk}, Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 1999, No. 3, 21--25 (1999; Zbl 0953.44002)