{VERSION 3 0 "IBM INTEL NT" "3.0" } {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 "Times" 1 14 0 0 0 0 2 2 2 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 }{PSTYLE "R3 Font 0" -1 256 1 {CSTYLE "" -1 -1 "He lvetica" 1 14 0 0 0 0 2 1 2 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "R3 Font 2" -1 257 1 {CSTYLE "" -1 -1 "Courier" 1 14 0 0 0 0 2 2 2 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "read `c:/koepf/maple/buch/hsum.mpl` ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%ZCopyright~1998~~Wolfram~Koepf,~ Konrad-Zuse-Zentrum~BerlinG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 53 "rodriguesrecursion((-1)^n/(2^n*n!),(1-x^2)^n,x,S(n));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,(*&,&%\"nG\"\"\"\"\"#F(F(-%\"SG6#F&F(F(*(%\"x GF(,&\"\"$F(F'F)F(-F+6#,&F'F(F(F(F(!\"\"*&F3F(-F+6#F'F(F(\"\"!" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "rodriguesdiffeq((-1)^n/(2^n* n!),(1-x^2)^n,n,S(x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,(*(,&!\"\" \"\"\"%\"xGF(F(,&F(F(F)F(F(-%%diffG6$-%\"SG6#F)-%\"$G6$F)\"\"#F(F'*&F) F(-F,6$F.F)F(!\"#*(F.F(%\"nGF(,&F:F(F(F(F(F(\"\"!" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 64 "sumrecursion(binomial(n,k)*binomial(-n-1,k)* ((1-x)/2)^k,k,S(n));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,(*&,&%\"nG\" \"\"\"\"#F(F(-%\"SG6#F&F(F(*(%\"xGF(,&\"\"$F(F'F)F(-F+6#,&F'F(F(F(F(! \"\"*&F3F(-F+6#F'F(F(\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "sumdiffeq(binomial(n,k)*binomial(-n-1,k)*((1-x)/2)^k,k,S(x));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#/,(*(,&!\"\"\"\"\"%\"xGF(F(,&F(F(F)F(F (-%%diffG6$-%\"SG6#F)-%\"$G6$F)\"\"#F(F'*&F)F(-F,6$F.F)F(!\"#*(F.F(%\" nGF(,&F:F(F(F(F(F(\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 " sumrecursion((-1)^k/k!*binomial(n+alpha,n-k)*x^k,k,S(n));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,(*&,&%\"nG\"\"\"\"\"#F(F(-%\"SG6#F&F(F(*&,*%& alphaG!\"\"!\"$F(F'!\"#%\"xGF(F(-F+6#,&F'F(F(F(F(F(*&,(F'F(F/F(F(F(F(- F+6#F'F(F(\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "sumdiffe q((-1)^k/k!*binomial(n+alpha,n-k)*x^k,k,S(x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,(*&%\"xG\"\"\"-%%diffG6$-%\"SG6#F&-%\"$G6$F&\"\"#F'F' *&,(F&F'!\"\"F'%&alphaGF4F'-F)6$F+F&F'F4*&F+F'%\"nGF'F'\"\"!" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "rodriguesrecursion(exp(x)/(n !*x^alpha),exp(-x)*x^(alpha+n),x,S(n));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,(*&,&%\"nG\"\"\"\"\"#F(F(-%\"SG6#F&F(F(*&,*%&alphaG!\"\"!\"$F( F'!\"#%\"xGF(F(-F+6#,&F'F(F(F(F(F(*&,(F'F(F/F(F(F(F(-F+6#F'F(F(\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 64 "rodriguesdiffeq(exp(x)/(n !*x^alpha),exp(-x)*x^(alpha+n),n,S(x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,(*&%\"xG\"\"\"-%%diffG6$-%\"SG6#F&-%\"$G6$F&\"\"#F'F'*&,(F&F'! \"\"F'%&alphaGF4F'-F)6$F+F&F'F4*&F+F'%\"nGF'F'\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "GFrecursion((1-z)^(-alpha-1)*exp(x*z/(z-1 )),1,z,S(n));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,(*&,&%\"nG\"\"\"\" \"#F(F(-%\"SG6#F&F(F(*&,*%&alphaG!\"\"!\"$F(F'!\"#%\"xGF(F(-F+6#,&F'F( F(F(F(F(*&,(F'F(F/F(F(F(F(-F+6#F'F(F(\"\"!" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 53 "GFdiffeq((1-z)^(-alpha-1)*exp(x*z/(z-1)),1,z,n,S(x) );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,(*&%\"xG\"\"\"-%%diffG6$-%\"SG 6#F&-%\"$G6$F&\"\"#F'F'*&,(F&F'!\"\"F'%&alphaGF4F'-F)6$F+F&F'F4*&F+F'% \"nGF'F'\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}} {MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }