Alex

 

Sorry, You were right about the sumfunction g.

As far as I can see it's not answering my reswervation about the other function even if I rewritte the squareroot with sqrt instead of power of ½.

 

d:=sum( x^n/(sqrt(n!)),n=0..infinity);

gives the same result as before.

 

Have I done something wrong ? 

In words for d : I wishes to find the sumfunction of (1 / quareroot n! ) times x^n. This I hink I have written for bioth versions of d solution.

 

BR
Beaumonde

 

Dear Alec Thanks for advice. Sometimes Maple's sumfunction behaves a bit strange. I give two examples : d:=sum(((1)/((n)!)^½)*x^n, n=0..infinity); and get'sMaple's sumfunction : infinity ----- n \ x d := ) ----- / ½ ----- (n!) n = 0 g:=sum(((2*n+1)(x+7))^n,n=0..infinity); and get's Maple's sumfunction : infinity ----- \ n g := ) (2 n(x + 7) + 1) / ----- n = 0 In other cases Maple calculate a normal and correct sumfunction. What's the reason for this "error" or discrepancy ? BR Beaumonde

with convert and FormalPowerSeries one can find power series of some functions. WIth the function int one can sum / make integrals of expressions.

I am new to Maple and have tried finding the sum function of the product of two power series : The code for this :

f(x) = sum[(x^2n) / (n+1)!]
g(x) = sum[(4n-2) (x+5)]^4

in both cases sum of n from 0 to infinity
 
how to program Maple to find the sum function of f(x), g(x)
and g(x)*(f(x) ?

Code is most wellcome as my results seems to contradict pure math evaluation i.e. I hav

The math results about looking at convergence radius is known to me. Just not the Maple code to do it.

BR
Beaumonde

I look forward to the code for inspiration as small part of some larger programs

 

BR

Beaumonde

Alec

 

Finding the answer mathematically was no problem.

The code was my request. Can you writte it as I got something I didn't belive as I know the mathematical solution but didn't find it on Maple.

 

The help I need is finding in on Maple- How ?
Would a graph contribute : how ?