@article{dunster:1990:bfp, author = {Dunster, T. M.}, title = {{B}essel functions of purely imaginary order, with an application to second-order linear differential equations having a large parameter}, journal = {SIAM J. Math. Anal.}, fjournal = {SIAM Journal on Mathematical Analysis}, volume = {21}, year = {1990}, number = {4}, pages = {995–1018}, note = {Errata: In eq. (2.8) replace $(x^2/4)^2$ by $(x^2/4)^s$. In eq. (4.2) $\phi(\zeta)$ should be replaced by $\psi(\zeta)$. In the second line of eq. (4.7) insert an external factor $e^{-2\pi ij/3}$ and change the upper limit of the sum to $n-1$. In eq. (4.15) the factor $\zeta$ is missing from the arguments of the functions Bi$_\nu$ and Bi'$_\nu$.}, issn = {0036-1410}, coden = {SJMAAH}, mrclass = {33C10 (34E05)}, mrnumber = {MR1052883 (91f:33002)}, mrreviewer = {A. de Castro Brzezicki}, doi = {10.1137/0521055}, zblno = {0703.33002}}