ON THE CALCULATION OF MATHEMATICAL TABLES. 
Neumann Cylinder Functions—continued. 
Y,(x) | - Y;, (x) | x 
—0-270328 +0-254665 | 12-12 
—0-275362 +0-248748 | 12-14 
—0-280277 +0-242743 | 12-16 
—0-285071 +0-236653 | 12-18 
—0-289743 -+-0-230480 | 12-20 
—0-294290 +-0-224228 | 12.22 
—0-298711 +0-217898 12-24 
—0-303005 +0-211492 12-26 
—0-307170 +0-205014 12-28 
—0-311205 +-0-198467 12-30 
—0-315109 +0-191853 12-32 
—0-318879 +0-185175 | 12-34 
—0-322515 +0-178435 | 12-36 
—0-326016 +0-171637 | 12-38 
—0-329380 +0-164783 | 12-40 
—0-332607 +0-157875 | 12-42 
—0-335695 +0-:150917 | 12-44 
—0-338643 +0:143912 | 12-46 
—0-341451 +0-136862 | 12-48 
—0-344118 +0:129771 | 12-50 
—0-346642 +0-122640 | 12-52 
—0-349023 +0-115473 | 12-54 
—0-351261 --0:108274 | 12-56 
—0-353354 +-0-101044 | 12-58 
—0-355302 +0-093786 | 12-60 
—0-357105 +0-086504 | 12-62 
—0-358762 +0-079200 | 12-64 
—0-360273 +0-071878 | 12-66 
—0-361637 +0-064540 | 12-68 
—0-362854 +-0-057189 | 12-70 
—0-363924 +-0-049828 | 12-72 
—0-364847 +0-042460 12-74 
—0-365623 +0-035088 12-76 
—0-366251 +0-027715 | 12-78 
—0-366731 +-0-020344 | 12-80 
—0-367065 +0-012977 | 12-82 
—0-367251 +0-005617 | 12-84 
—0-367289 —0-001732 | 12-86 
—0-367181 —0-009068 12-88 
—0-366927 —0-016387 12-90 
—0-366526 —0-023688 12-92 
—0-365979 —0-030967 12-94 
—0-365288 —0-038221 12-96 
—0-364451 —0-045447 = 12-98 
—0-363470 —0-052643 13-00 
—0-362345 —0-059807 13-02 
—0-361078 —0-066935 13-04 
—0-359668 —0-074024 13-06 
—0-358117 —0-081071 | 13-08 
—0-356426 —0-088075 | 13-10 
—0-354595 —0-095032 13-12 
—0-352625 —0-101939 | 13-14 
—0-350517 —0-108795 | 13-16 
—0-348273 —0-115596 13-18 
—0-345894 —0-122340 | 13-20 
—0-343380 —0-129024 | 13-22 
—0-340733 —0-135645 | 13-24 
—0-337955 —0-142202 | 13-26 
—0-335046 —0-148692 | 13-28 
! 
Yo(a) 
—0-332007 
—0-328841 
—0-325550 
—0-322133 
—0-318593 
—0-314932 
—0-311150 
—0-307251 
—0-303235 
—0-299104 
—0-294861 
—0-290507 
—0-286043 
~-0-281473 
—0-276797 
—0-272018 
—0-267139 
—0-262160 
—0-257084 
—0-251914 
—0-246652 
—0-241299 
—0-235859 
—0-230333 
—0-224723 
—0-219032 
—0-213263 
—0-207418 
—0-201500 
—0-195510 
—0-189451 
—0-183326 
—0-177138 
—0-170888 
—0-164580 
—0-158216 
—0-151799 
—0-145331 
—0-138815 
—0-132253 
—0-125649 
—0-119005 
—0-112323 
—0-105607 
—0-098859 
—0-092082 
—0-085279 
—0-:078452 
—0-071604 
—0-064738 
—0-057856 
—0-050962 
—0-044058 
—0-037147 
—0-030231 
—0-023314 
—0-:016398 
—0-:009485 
—0-002580 
Y,(z) 
—0-155112 
—0-161460 
—0-167733 
—0-173929 
—0-180046 
—0-186082 
—0-192034 
—0-197899 
—0-203676 
—0-209364 
—0-214959 
—0-220460 
—0-225864 
—0-231170 
—0-236376 
—0-241479 
—0-246478 
—0-251372 
—0-256158 
—0-260834 
—0-265399 
—0-269851 
—0-274189 
—0-278412 
—0-282517 
—0-286503 
—0-290369 
—0-294114 
—0-297737 
—0-301235 
—0-304608 
—0-307855 
—0-310974 
—0-313965 
—0-316827 
—0-319558 
—0-322158 
—0-324626 
—0-326961 
—0-329163 
—0-331231 
—0-333163 
—0-334960 
—0:336622 
—0-338147 
—0:339536 
—0-340787 
—0-341901 
—0-342878 
—0-343717 
—0-344418 
—0-344981 
—0-345406 
—0-345694 
—0:345843 
—0-345855 
—0-345729 
—0-345466 
—0-345067 
G 
