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In the Maple® procedure L2S below: p=-1(1) for lk). d:= proc(n, a) option remember; seq((a+i0)/n, i0 =0.n-1); end; L2S:= proc(l, k, r, p, x) option remember; local m, M, c; m:= min(l, k); M:= max(l, k); c:= (2*Pi) (r-(l+k)/2)* M (1/2-j)* m (1/2+j* m/M)* product(sin(Pi* (i1/r-j/M))/Pi, i1=0.r-1)* product(GAMMA((i2-j-1)/M) , i2=1.j)* product(GAMMA((i3-j-1)/M), i3=j+2.M)* product(GAMMA(j/M+(i4+1)/m), i4=0.m-1); sum(c* x (-1+ p* j* l/M)* hypergeom([1, d(m, 1+j* m/M)], [d(M, j+1)], (-1) (r-M)* m m/M M* x (p* l)), j=1.M-1); end;.
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