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taylor

taylor(1/(x-c), x, 0,...

Calculate

assume-integrate-log-ratsimp

v(r) := A*(1-(r/R)^2 ...

assume(k>0);

assume(k<1);

Calculate

hypergeometric-makelist-sum-true

hypergeometric([],[],...

hypergeometric([1],[1...

hypergeometric([-1],[...

Calculate

assume-diff-exp

assume(alpha>0);

diff(x*exp(-alpha*x^2));

diff((1-2*alpha*x^2)*...

Calculate

assume

assume(k>0,x>0,...

Calculate

taylor

taylor(1/(1-a*x-b*x^2...

Calculate

true

f:b and(d or (a and e));

f:a=false,b=false,d=f...

f:a=false,b=false,d=f...

Calculate

taylor

Pb = 10^(6.809-(935.8...

Pp = 10^(6.853-(1064....

Ph = 10^(6.876-(1171....

Calculate

true

t1: (not a3) and a2 a...

t2: (not a3) and a2 a...

t3: a3 and (not a2) a...

Calculate

[assume,hypergeometric,taylor,true]

Run Example
(%i1)assume(n>
1,k<
n);
(%o1)                           [n > 1, n > k]
(%i2) h:hypergeometric([k,k-n],[1/2+k-n],x), expand_hypergeometric : true;
                                                       1
(%o2)            hypergeometric([k, k - n], [- n + k + -], x)
                                                       2
(%i3) taylor(h,x,0,3);
                 2
             (2 k  - 2 n k) x
(%o3)/T/ 1 + ----------------
              2 k - 2 n + 1
       4                3       2             2       2            2
   (2 k  + (- 4 n + 4) k  + (2 n  - 6 n + 2) k  + (2 n  - 2 n) k) x
 + -----------------------------------------------------------------
                    2                      2
                 4 k  + (- 8 n + 8) k + 4 n  - 8 n + 3
        6                  5        2               4
 + ((4 k  + (- 12 n + 24) k  + (12 n  - 60 n + 52) k
         3       2                3          3       2               2
 + (- 4 n  + 48 n  - 104 n + 48) k  + (- 12 n  + 60 n  - 72 n + 16) k
         3       2             3       3                   2
 + (- 8 n  + 24 n  - 16 n) k) x )/(24 k  + (- 72 n + 108) k
        2                        3        2
 + (72 n  - 216 n + 138) k - 24 n  + 108 n  - 138 n + 45) + . . .
(%i4) 
Run Example
assume(n>
1,k<
n);
(%o1)                           [n > 1, n > k]
(%i2) h:hypergeometric([k,k-n],[1/2+k-n],x), expand_hypergeometric : true;
                                                       1
(%o2)            hypergeometric([k, k - n], [- n + k + -], x)
                                                       2
(%i3) taylor(h,x,0,1);
                                 2
                             (2 k  - 2 n k) x
(%o3)/T/                 1 + ---------------- + . . .
                              2 k - 2 n + 1
(%i4) 
[and,or,true] [and,true] [append,ascii,block,concat,copylist,delete,divsum,first,if,make_random_state,next_prime,second,set_random_state,slength,substring,true] [append,ascii,block,concat,delete,divsum,first,if,make_random_state,next_prime,second,set_random_state,slength,substring,true] [assume,bessel_j,besselexpand,factor,inf,integrate,pi,print,quit,radexpand,true] [assume,constant,cos,declare,diff,let,letsimp,sin,solve,trigsimp] [assume,cos,expand,integrate,sin,sqrt] [assume,cos,integrate,plot2d,sin,sqrt] [assume,cos,integrate,plot2d,sin] [assume,define,plot2d,sin,sqrt,subst] [assume,diff,ev,integrate,plot2d,sin] [assume,diff,ev,integrate,plot2d] [assume,diff,exp,integrate,pade,taylor] [assume,diff,exp,integrate,taylor] [assume,diff,exp,pade,taylor] [assume,diff,factor,integrate,log,ratsimp] [assume,diff,integrate,plot2d] [assume,diff,is,solve] [assume,diff,ode2] [assume,diff] [assume,exp,inf,integrate] [assume,exp,inf,limit] [assume,exp,integrate] [assume,expand,matrix,subst] [assume,hypergeometric,taylor] [assume,inf,integrate] [assume,inf,limit,taylor,tlimit] [assume,inf,limit] [assume,integrate,log,ratsimp] [assume,integrate,sin] [assume,integrate,sqrt] [assume,integrate] [assume,is] [assume,solve,sqrt] [assume,solve] [assume,sqrt,tan,taylor] [assume,taylor] [assume] [backsubst,linsolve_params,linsolvewarn,true] [bfloat,cos,diff,globalsolve,linsolve,phi,sin,true] [bfloat,float,hypergeometric] [bfloat,pade,plot2d,taylor] [block,concat,do,kill,makelist,obase,return,stringdisp,true,while] [christof,einstein,exp,load,matrix,riemann,scurvature,sin,true] [christof,einstein,load,matrix,riemann,scurvature,sin,true] [coeff,do,load,reverse,taylor] [cos,determinant,invert,mat_trace,matrix,numer,sin,trace,transpose,true] [cos,exp,fortran,plot2d,taylor,tex] [cos,expand,factor,halfangles,integrate,sin,trigexpand,true] [hypergeometric,true]

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