{VERSION 2 3 "IBM INTEL NT" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 360 "y:=x^2-k;\nA(0,0) : = 1/y;\nB(0,0) := diff(y,x)/y;\nfor i from 1 to 2 do w := i;\n#\n# Res ults for A(0,w) verified correct.\n#\nA(0,w):= simplify(sum('(-1)^(a-1 )*y^(a-1)*diff(y,x$w)*y^(w-a+1)*A(0,w-a)/a!','a'=1..w)/y^(w+1));\n#\n# Results for B(0,w) verified correct.\n#\nB(0,w):= simplify(sum('(-1)^ (a)*y^(a)*diff(y,x$(w+1))*y^(w-a+1)*A(0,w-a)/a!','a'=1..w)/y^(w+1)); o d;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG,&*$%\"xG\"\"#\"\"\"%\"kG! \"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6$\"\"!F'*$,&*$%\"xG\" \"#\"\"\"%\"kG!\"\"F/" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$\"\" !F',$*&%\"xG\"\"\",&*$F*\"\"#F+%\"kG!\"\"F0F." }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"wG\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG 6$\"\"!\"\"\",$*&%\"xGF(,&*$F+\"\"#!\"\"%\"kGF(!\"#F." }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$\"\"!\"\"\",$*$,&*$%\"xG\"\"#!\"\"%\"kGF( F/F." }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6$%\"lG\"\"\"*(,&)%\"xG ,&F'F(F(F(F(*&)F,,&F'F(!\"\"F(F(%\"kGF(F(F(,&*$F,\"\"#F1F2F(!\"#-%&GAM MAG6#F-F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$%\"lG\"\"\",$*() %\"xGF'F(,&*$F,\"\"#!\"\"%\"kGF(F0-%&GAMMAG6#,&F'F(F(F(F(\"\"%" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"wG\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6$\"\"!\"\"#,$*&,(%\"xG\"\"%*$F,F(!\"\"%\"kG\"\" \"F1,&F.F/F0F1!\"$F/" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$\"\"! \"\"#F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6$%\"lG\"\"#,$*(,*)% \"xG,&F'\"\"\"F/F/\"\"%)F-,&F'F/F(F/!\"#*&)F-F'F/%\"kGF/F/*&)F-,&F'F/F 3F/F/F6F(F/F/,&*$F-F(!\"\"F6F/!\"$-%&GAMMAG6#F.F/F<" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>-%\"BG6$%\"lG\"\"#,$*(-%&GAMMAG6#,&F'\"\"\"F/F/F/)% \"xG,&F'F/!\"\"F/F/,&*$F1F(F3%\"kGF/F3!\"%" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}}{MARK "0 0 0" 357 }{VIEWOPTS 1 1 0 1 1 1803 }