{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 0 352 "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# Result s for A(0,w) verified correct.\nA(0,w):= simplify(sum('(-1)^(a-1)*y^(a -1)*diff(y,x$w)*y^(w-a+1)*A(0,w-a)/a!','a'=1..w)/y^(w+1));\n# Results \+ for B(0,w) verified correct.\nB(0,w):= simplify(sum('(-1)^(a)*y^(a)*di ff(y,x$(w+1))*y^(w-a+1)*A(0,w-a)/a!','a'=1..w)/y^(w+1)); od;" }}{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\"\"\",&*$F*\"\"#F+%\"kG!\"\"F0F." }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"wG\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6$\"\"!\"\" \",$*&%\"xGF(,&*$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(!\"#-%&GAMMAG6 #F-F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$%\"lG\"\"\",$*()%\"x GF'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/F0 F1!\"$F/" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$\"\"!\"\"#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/F3F/F/F6F(F /F/,&*$F-F(!\"\"F6F/!\"$-%&GAMMAG6#F.F/F<" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$%\"lG\"\"#,$*(-%&GAMMAG6#,&F'\"\"\"F/F/F/)%\"x G,&F'F/!\"\"F/F/,&*$F1F(F3%\"kGF/F3!\"%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "0 0 0" 252 }{VIEWOPTS 1 1 0 1 1 1803 }