Thank you very much Axel, well I just try to see  if i can count the zeros so that's why I need a symbolic result. This first derivative is in terms of hypergeo. functions and it contains Psi polyGamma etc.,  but the  numerical differentiation works...

Thank you very much Axel, well I just try to see  if i can count the zeros so that's why I need a symbolic result. This first derivative is in terms of hypergeo. functions and it contains Psi polyGamma etc.,  but the  numerical differentiation works...

oh sorry it is a misprint it should be `my trouble`. You`re right there is a syntax error in  mathematica command, now it works in maple, thank you. 

oh sorry it is a misprint it should be `my trouble`. You`re right there is a syntax error in  mathematica command, now it works in maple, thank you. 

thank you. I think my trouble is with the expression `z` that I have to use in F^(112)_201..

thank you. I think my trouble is with the expression `z` that I have to use in F^(112)_201..

I was wondering if there is an office of maplesoft in Canada Quebec..

Well I`m really curious,  have a trouble with the function F, I`m looking for the real zeros of F (if there are any..)

z:=1; j:=5*I; n:=(k^2-j)/(2*(j^(1/2)))-1/2; c:=sqrt(2)*j^(1/4);

f:=CylinderD(n,c*x);

g:=CylinderD(n,I*c*x);

A1:=g(a)*f(-a)-f(a)*g(-a);

A2:=f `(-a) * g `(a) - f `(a) * g ` (-a);

w:=-I*c*exp(-I*Pi*n/2);

F:=exp(2*I*k*a)*(1-(I*((k^2)*A1+A2))/(2*k*w))

where a is a real number say a:=1.0; and primes denote the first order derivatives with respect to  x and f ` (a) is the value of the first order derivative of f(x) at x=a. And I have to choose z is real(or imaginer) and j is imaginer(or complex but not real) numbers. I can change j and z as I want. When I use this for example plots(complexplot)(F,k=0..10) command  for some different values of j and z, I obtain some graphs and I think it makes nothing.  I was wondering if i could find a real  `k`...

Well I`m really curious,  have a trouble with the function F, I`m looking for the real zeros of F (if there are any..)

z:=1; j:=5*I; n:=(k^2-j)/(2*(j^(1/2)))-1/2; c:=sqrt(2)*j^(1/4);

f:=CylinderD(n,c*x);

g:=CylinderD(n,I*c*x);

A1:=g(a)*f(-a)-f(a)*g(-a);

A2:=f `(-a) * g `(a) - f `(a) * g ` (-a);

w:=-I*c*exp(-I*Pi*n/2);

F:=exp(2*I*k*a)*(1-(I*((k^2)*A1+A2))/(2*k*w))

where a is a real number say a:=1.0; and primes denote the first order derivatives with respect to  x and f ` (a) is the value of the first order derivative of f(x) at x=a. And I have to choose z is real(or imaginer) and j is imaginer(or complex but not real) numbers. I can change j and z as I want. When I use this for example plots(complexplot)(F,k=0..10) command  for some different values of j and z, I obtain some graphs and I think it makes nothing.  I was wondering if i could find a real  `k`...

yes exactly, I had 3 or 4 maple windows working at the same time, I canceled all of them and obtained same graph and complex number. Thank you.

yes exactly, I had 3 or 4 maple windows working at the same time, I canceled all of them and obtained same graph and complex number. Thank you.

I tried your commands I mean I want to see these commands in my maple notebook, when I try the implicitplot,  maple gives only the curves in blue and when I try fsolve(f10, n=3..4+I,complex) command it doesn`t give the numerical result.

I tried your commands I mean I want to see these commands in my maple notebook, when I try the implicitplot,  maple gives only the curves in blue and when I try fsolve(f10, n=3..4+I,complex) command it doesn`t give the numerical result.

Well I use maple 13, the commands given above for the complex roots didn`t work. I was wondering if I should use a package?

Well I use maple 13, the commands given above for the complex roots didn`t work. I was wondering if I should use a package?