Recent content by vvthuy

Hi, I have problem with the calculation the error caused by the lagrange inversion. Hence, accroding to Lagrange theorem if f(w)=z it is possible to find w=g(z) where g(z) is given by a series. I wonder, if I consider up to N-th term in the Lagrange series, what will be the error caused by...

I meant, I tried to get the following form by expansion the left hand side of equation and then combine terms to get the right hand side (b-1)^n-(b+1)^n =(f)^n where f depends on b. for example (x-1)^2-(x+1)^2 =-[4sqrt(x)]^2

Thank JJacquelin's comments and the equation. Do you know any other series which allow us to simplify (b-1)^n-(b+1)^n to the form of ()^n?

I found an way to modify the above bessel function using Multiplication theorem but I was stuck again at the following step (b-1)^n-(b+1)^n Do you know whether I can simplify this using series?

Thanks for your reply. An approximate solution is also expected.

Hi, I need to solve one problem like this: (a+b)*J_{1}[x(a+b)]-(a-b)*J_{1}[x(a-b)]=c J_{1} denotes the first order Bessel function. Do you think that it is possible to solve this function in an analytical way? Thanks, Viet.

Thank you very much. Do you have the reference for this equation since I do not find it in my mathematical books?

Hi, Do you have any idea to solve this integral? \int^{\phi_{1}}_{\phi_{2}} exp[j cos(x)] dx where \phi_{1} and \phi_{2} are an arbitrary angles. If \phi_{1}=\pi and \phi_{2}=0, the answer for this integral is a Bessel function. Thanks, Viet.