On a Certain Span Classsearchtermclassspan of Functions Analogous to the

Abraham Cohen

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. , Rp, which, in turn, can be expressed linearly in terms of C. V = 0, 1, .... P — 1.
Thus, taking the system n^R^ = Oo, o[.^, 0, o] + Co, [;. , o, i]+ .... 4-(7o.^_i[;. , o, p-i] f:jR, =a, iA, 0, o]-hc, [;, 0, i]+.... +ci, ^_, [;, 0, p-i] r:^ii, = q. _a. O[^ 0, o]+G, _, . , [/(, 0, 1]+ ... . +c;-i. , >-i[^ o, p-i] Ji^^=Q, _, o[;, 0, 0], Q, _i, i[/, 0, l]+.... +C^_, ^_, [/, 0, _p-l] ) and remembering that the minor of Q^ ^. In D is ^-J^^^ Jf~^, we have And finally, from (11) P=l j=o /l=:l, 2, ....... , p-1 v = 0, 1, 2, .... , p— 1.
In exactly the same way we get j[o, /. , v]= V ' k r^rfi. -x. IZi (15) /^=1, 2, , p — 1 v = 0, 1, 2, ,;> — 1 9 or j[o, ^, v] = 2rrr;q. -i. O[o, o, 0]+ 2 rrr;q, -i. I[o, 0, 1]+.... + .... +2r^V;q, -i.. [o, 0, ^]+ .... +2r?r^c;_, ^_, [o, 0, p-i].
. -. . )[;, ;. , v]=Vr^V;c;_, o[/i, 0, o] + 2r:V;q. _i. I[^, 0, i]+ .... ' p=i H- .... +2r^;r;q. _i.. [^, 0, ^] + .... + 2r^;^^c;_^^_, [/, 0, ^. -1].
Whence, from (14) we have p=:l P' = l i = + 2r^V^

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