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}{\cs20\b\f2\insrsid4875346 Pi*(lambda-delta)}{\cs20\b\f2\insrsid4875346 f}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 (}{\cs20\b\f2\insrsid4875346 z}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 )/((}{\cs20\b\f2\insrsid4875346 z}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 -}{\cs20\b\f2\insrsid4875346 z}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 0)^(}{\cs20\b\f2\insrsid4875346 n}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 +1)):}{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 \par \'c7\'e0\'e4\'e0\'e4\'e8\'ec \'ec\'e0\'f1\'f1\'e8\'e2 }{\insrsid4875346 q}{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 =}{\insrsid4875346 array}{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 (0..}{\insrsid4875346 J}{ \lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 ), \'e2 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\'dd\'f2\'ee \'e2\'fb\'ff\'f1\'ed\'e8\'f2\'f1\'ff \'ed\'e8\'e6\'e5 \'ef\'f0\'e8 \'ee\'ef\'f0\'e5\'e4\'e5\'eb\'e5\'ed\'e8\'e8 \'ef\'ee\'f0\'ff\'e4\'ea\'e0 \'ef\'ee\'eb\'fe\'f1\'ee\'e2. \'cf \'ee\'f0\'ff\'e4\'ee\'ea \'ef\'ee\'eb\'fe\'f1\'e0 \'ed\'ee\'eb\'fc \'e1\'f3\'e4\'e5\'f2 \'f3\'ea\'e0\'e7\'fb\'e2\'e0\'f2\'fc \'ed\'e0 \'f2\'ee, \'f7\'f2\'ee \'e4\'e0\'ed\'ed\'ee\'e5 \'e7\'ed\'e0\'f7\'e5\'ed\'e8\'e5 }{\insrsid4875346 z}{ \lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 \'ed\'e5 \'ff\'e2\'eb\'ff\'e5\'f2\'f1\'ff \'ef\'ee\'eb\'fe\'f1\'ee\'ec \'e4\'eb\'ff \'f4\'f3\'ed\'ea\'f6\'e8\'e8 }{\insrsid4875346 f}{ \lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 (}{\insrsid4875346 z}{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 ) \'e8\'eb\'e8 }{\insrsid4875346 phi}{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 (}{ \insrsid4875346 z}{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 ).}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 }{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 \par }{\cs20\b\f2\insrsid4875346 p[0]:=z0: h:=0:}{\insrsid4875346 \par }{\cs20\b\f2\insrsid4875346 if Lr=1 or Delta=delta then }{\insrsid4875346 \par }{\cs20\b\f2\insrsid4875346 for k from 1 to J1 do if pLr1[k]<>z0 then }{\insrsid4875346 \par }{\cs20\b\f2\insrsid4875346 p[k-h]:=pLr1[k] else h:=h+1 fi: od: J1:=J1-h: else}{\insrsid4875346 \par }{\cs20\b\f2\insrsid4875346 for k from 1 to J2 do if pLr2[k]<>z0 then}{\insrsid4875346 \par }{\cs20\b\f2\insrsid4875346 p[k-h]:=pLr2[k] else h:=h+1 fi :od: J2:=J2-h: fi:}{\insrsid4875346 \par }{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 \'c2 \'f1\'e2\'ff\'e7\'e8 \'f1 \'e2\'ee\'e7\'ec\'ee\'e6\'ed\'fb\'ec \'e8\'e7\'ec\'e5\'ed\'e5\'ed\'e8\'e5\'ec \'e7\'ed\'e0\'f7\'e5\'ed\'e8\'e9 }{\insrsid4875346 J}{ \lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 1 \'e8 }{\insrsid4875346 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P}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 [}{\cs20\b\f2\insrsid4875346 k}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 ]:=}{\cs20\b\f2\insrsid4875346 p}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 [}{\cs20\b\f2\insrsid4875346 k}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 ] }{\cs20\b\f2\insrsid4875346 od}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 :}{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 \par \'d7\'f2\'ee\'e1\'fb \'e2\'ee\'f1\'ef\'ee\'eb\'fc\'e7\'ee\'e2\'e0\'f2\'fc\'f1\'ff \'e8\'ed\'f2\'e5\'e3\'f0\'e0\'eb\'fc\'ed\'ee\'e9 \'f4\'ee\'f0\'ec\'f3\'eb\'ee\'e9 \'ca\'ee\'f8\'e8, \'f1\'e8\'ed\'f2\'e5\'e7\'e8\'f0\'f3\'e5\'ec \'e2\'f1\'ef\'ee\'ec\'ee\'e3 \'e0\'f2\'e5\'eb\'fc\'ed\'f3\'fe \'f4\'f3\'ed\'ea\'f6\'e8\'fe }{\insrsid4875346 psi}{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 (}{\insrsid4875346 z}{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 0)<>0 \'e8 \'ee\'e4 \'ed\'ee\'e2\'f0\'e5\'ec\'e5\'ed\'ed\'ee \'ee\'ef\'f0\'e5\'e4\'e5\'eb\'ff\'e5\'ec \'ef\'ee\'f0\'ff\'e4\'ee\'ea "\'ef\'ee\'eb\'fe\'f1\'e0" }{\insrsid4875346 z}{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 0 \'e4\'eb\'ff \'f4\'f3\'ed\'ea \'f6\'e8\'e8 }{\insrsid4875346 f}{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 (}{\insrsid4875346 z}{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 ) (\'e5\'f1\'eb\'e8 }{\insrsid4875346 q}{ \lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 [0]=0, \'f2\'ee }{\insrsid4875346 z}{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 0 \'ed\'e5 \'ff\'e2\'eb\'ff\'e5\'f2\'f1\'ff \'ef\'ee\'eb\'fe\'f1\'ee\'ec \'e4\'eb\'ff \'f4 \'f3\'ed\'ea\'f6\'e8\'e8 }{\insrsid4875346 f}{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 (}{\insrsid4875346 z}{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 )):}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 }{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 \par }{\cs20\b\f2\insrsid4875346 q:=array(0..J):}{\insrsid4875346 \par }{\cs20\b\f2\insrsid4875346 B0:=limit(f(z),z=z0): q[0]:=0: psi:=(z)->f(z):}{\insrsid4875346 \par }{\cs20\b\f2\insrsid4875346 for n from 1 to NN do }{\insrsid4875346 \par }{\cs20\b\f2\insrsid4875346 if B0=undefined or B0=infinity or B0=-infinity then psi(z):=f(z)*(z-z0)^n: q[0]:=n: B0:=limit(psi(z),z=z0):else break fi od: }{\insrsid4875346 \par }{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 \'ce\'ef\'f0\'e5\'e4\'e5\'eb\'e5\'ed\'e8\'e5 \'ef\'ee\'f0\'ff\'e4\'ea\'e0 "}{\insrsid4875346 q}{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 " \'e4\'f0\'f3\'e3\'e8\'f5 \'ef\'ee\'eb\'fe\'f1\'ee\'e2 "}{\insrsid4875346 p}{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 " 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}{\cs20\b\f2\insrsid4875346 do}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 `\'e4\'e0\'eb\'e5\'e5 \'ee\'ef\'f0\'e5\'e4\'e5\'eb\'ff\'e5\'f2\'f1\'ff \'e2\'fb\'f7\'e5\'f2 \'e2 \'ef\'ee\'eb\'fe\'f1\'e5 }{\cs20\b\f2\insrsid4875346 P}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 [}{\cs20\b\f2\insrsid4875346 j}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 ]`:}{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 \par }{\cs20\b\f2\insrsid4875346 if}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 }{\cs20\b\f2\insrsid4875346 q}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 [}{\cs20\b\f2\insrsid4875346 j}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 ]-1=0 }{\cs20\b\f2\insrsid4875346 then}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 }{\cs20\b\f2\insrsid4875346 vp}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 :=}{\cs20\b\f2\insrsid4875346 vp}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 +}{\cs20\b\f2\insrsid4875346 limit}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 (}{\cs20\b\f2\insrsid4875346 phi}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 (}{\cs20\b\f2\insrsid4875346 z}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 )*(}{\cs20\b\f2\insrsid4875346 z}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 -}{\cs20\b\f2\insrsid4875346 P}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 [}{\cs20\b\f2\insrsid4875346 j}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 ]),}{\cs20\b\f2\insrsid4875346 z}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 =}{\cs20\b\f2\insrsid4875346 P}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 [}{\cs20\b\f2\insrsid4875346 j}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 ]) }{\cs20\b\f2\insrsid4875346 fi}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 : }{\cs20\b\f2\insrsid4875346 if}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 }{\cs20\b\f2\insrsid4875346 q}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 [}{\cs20\b\f2\insrsid4875346 j}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 ]>1 }{\cs20\b\f2\insrsid4875346 then}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 }{\cs20\b\f2\insrsid4875346 vp}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 :=}{\cs20\b\f2\insrsid4875346 vp}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 +(1/(}{\cs20\b\f2\insrsid4875346 q}{ 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q}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 [}{\cs20\b\f2\insrsid4875346 j}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 ]),}{\cs20\b\f2\insrsid4875346 z}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 $(}{\cs20\b\f2\insrsid4875346 q}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 [}{\cs20\b\f2\insrsid4875346 j}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 ]-1)),}{\cs20\b\f2\insrsid4875346 z}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 =}{\cs20\b\f2\insrsid4875346 P}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 [}{\cs20\b\f2\insrsid4875346 j}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 ]) }{\cs20\b\f2\insrsid4875346 fi}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 :}{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 \par }{\cs20\b\f2\insrsid4875346 od}{\cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 :`\'e2\'fb\'f7\'e5\'f2 \'e2 \'ef\'ee\'eb\'fe\'f1\'e5 }{\cs20\b\f2\insrsid4875346 z}{ \cs20\b\f2\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 0`:}{\lang1049\langfe1049\langnp1049\insrsid4875346\charrsid11358471 \par }{\cs20\b\f2\insrsid4875346 if n=-q[0] then vz0:=limit(psi(z),z=z0) fi:}{\insrsid4875346 \par }{\cs20\b\f2\insrsid4875346 if n>-q[0] then vz0:=(1/(n+q[0])!)*limit(diff(psi(z),z$(n+q[0])),z=z0) fi: if n<-q[0] then vz0:=0 fi:}{\insrsid4875346 \par }{\cs20\b\f2\insrsid4875346 C[n]:=vz0+vp: od: }{\insrsid4875346 \par }{\cs20\b\f2\insrsid4875346 ff:=z->sum(C[nn]*(z-z0)^nn, nn=-N1..N2);}{\insrsid4875346 \par }\pard\plain \s23\qc \li0\ri0\sl360\slmult1\nowidctlpar\faauto\rin0\lin0\itap0 \fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\dn32\insrsid12729027 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