## 20 Reputation

10 years, 278 days

## Integration by parts very primitive...

The  Parts in  IntegrationTools  is extremely primitive !

It can only  handle   only once     int(f(x)g(x),x=a..b) , failed the second time,  when it encouter  so called

"multiple  integration",    repeat   N times  integration by parts is important tools to obtain  asymptotic expansion of  integrals,  the primitive nature of Parts, explained why   asympt  failed to handle many classical  integrals.

## 1)q analogues of  hypergeomeitric&n...

1)q analogues of  hypergeomeitric  funciions such as q-Racah, Dual q-Hahn, Continuous q-Hahn,Big q-Jacobi, Dual q-Hahn,Big q-Laguerre,q-Meixner,Dual q-Krawtchouk,Little q-Jacobi,Continuous q-Laguerre.....etc is  far behind.

2)The  asympt  cannot handle many  finite integrals, ApproximateInt is  good, but still quite limited

3)Lame  functions  missing  entirely

4)TWSsolution  failed

to solve Thomas-Fermi equation

{ U[x,x]=(U[])^(3/2)/sqrt(x) };

failed to solve  Generalized Benjamin-oho equation sys := { U[t]+(U[])^k*U[x]-diff(-sqrt(U[x]),x)=0 };

failed to solve  Fokker-Planck equation  sys := { U[t]= -diff(y*U[],x)+diff((A1+A2)*U[],x)+0.5*diff((A3+A4)*U[],y )}

and many more.

## thank you nm 440...

s:=convert( (a+b)^n,Sum,include = powers, dummy = x);
is  what I am looking for, a  format with   explicit  binomials  instead of actual numbers.

thanks

martin

## thanks...

Preben, thank you for this  Intat tips  and the "value" command, it solves my problem.

## Improve TWSolution...

TWSolutions still cannot solve  many non linear partial differential equations.  Please incorporated  extended tanh method,  extended  exp method,  G'/G  method ,Darbourx transform  etc.

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