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{SECT 0 {EXCHG {PARA 219 "" 0 "" {TEXT 220 70 "\2476.3 Reducing the Co
mplexity by Increasing the Level of Sophistication" }}{PARA 220 "" 0 "
" {TEXT 221 33 "\2476.3.2 Using Symbolic Computation" }}}{EXCHG {PARA 
221 "> " 0 "" {MPLTEXT 1 222 15 "with(sumtools):" }{MPLTEXT 1 222 66 "
\nsumrecursion(binomial(2*k,k)*binomial(k,j)^2*w^j*z^(k-j),j,p(k));" }
}{PARA 222 "" 1 "" {XPPMATH 20 "6#,(**,&I\"kG6\"\"\"#!\"\"\"\"\"F*,&F&
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.F*F/F*F*-F16#,&F&F*F)F*F*F4*&-F16#F&F*F&F(F*" }{TEXT 223 1 " " }
{TEXT 223 1 " " }}}{EXCHG {PARA 219 "" 0 "" {TEXT 220 33 "\2476.4 The \+
Joy of Special Functions" }}}{EXCHG {PARA 221 "> " 0 "" {MPLTEXT 1 
222 65 "simplify(sum(binomial(2*k,k)*binomial(k,j)^2*z^j*w^(k-j),j=0..
k))" }{MPLTEXT 1 222 22 "\n assuming k::integer;" }}{PARA 222 "" 1 "" 
{XPPMATH 20 "6#*(-I)binomialG6$I*protectedGF'I(_syslibG6\"6$,$I\"kGF)
\"\"#F,\"\"\"-I*LegendrePGF&6$F,*&,&I\"wGF)F.I\"zGF)F.F.,&F4F.F5!\"\"F
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