@Mohamed19 Hi @Mariusz Iwaniuk,

Can you help me for searching the coefficiants C(n,l) (General form).

Attached pdf file for the first orders coefficients: n=1,2,3,4,5,6.Coefficients.pdf

I search the coefficient C(n,l) in general.

Best regards

@Mariusz Iwaniuk  aa okay, thank you very much

@Mohamed19 

Hi @Mariusz Iwaniuk

Can you help me for the computation of the last formula with Maple?

Best regards

@Mariusz Iwaniuk 

First of all thank you very much for your last answer

Now, I want to caclulate the derivative of order n of this equatity, Thank's very much for helping me

i.e 

Can I compute the derivative of order n of the  formula in the picture?

Best regards

@Mariusz Iwaniuk  Hi @Mariusz Iwaniuk,

Thank you for your answer, but in the derivative of order n of j_alpha (u), the fonction j does not apear in the result.

I have a second question,

If we do the derivative of j_alpha (sqrt (u^2+v^2-2uv cos(phi))), what we will obtain? 

Thank you very much

@Mariusz Iwaniuk Thank you, but the I want the derivative of the function 

Such that alpha>-1/2

its derivative is 

I want to calculate de the derivative of order n of the function j_alpha

Thank you for help me

@Carl Love  the derivative mentioned  in the picture is correct,

N.B : BesselI (alpha,x) is the modified Bessel fonction of the first kind and order alpha,  alpha>-1/2,

How can I prgramm it?

@Carl Love 

Yes, how can I edit or program in Maple this derivative? 

Best regards 

@acer 

This is my derivative, I lost writing u in the previous claim. 

@Mohamed19 

My derivative is

diff(BesselI(alpha,x),x)=-1/(2(alpha+1))*BesselI(alpha+1,x)

But does not exist in Maple, curently the derivative of BesselI(alpha,x) equal to 

diff(BesselI(alpha,x),x)=BesselI(alpha+1,x)+alpha/x*BesselI(alpha,x)

May you help me?

Best regards

@Carl Love 

My derivative is

diff(BesselI(alpha,x),x)=-1/(2alpha+1)*BesselI(alpha+1,x)

But does not exist in Maple, curently the derivative of BesselI(alpha,x) equal to 

diff(BesselI(alpha,x),x)=BesselI(alpha+1,x)+alpha/x*BesselI(alpha,x)

May you help me?

Best regards

Hi, 

I have the derivative of BesselI(alpha,x)=-(1/2(alpha+1))BesselI(alpha+1,x), But in Maple does not exist this derivative?

Can you help me?

Best regards

@acer Thank you

@Carl Love Thank you very much, 

and how can I calculate de derivative n, i.e Besseli^(n)(alpha,x)?