Sunday, 1 December 2013

summation - Simplifying sumlimitsinftyk=0frac12k+1sumlimitsinftyn=0binomknfrac12(n+1)(3n+1)


Question: Is there a way to simplify k=012k+1n=0(kn)12(n+1)(3n+1)

Into a single summation symbol? k=0something




I inputed it into WolframAlpha and got a really complicated expressionk=012k+1+3(2F1[13,k43;1])+3k(2F1[13,k43;1])2k+3(k+1)
Which isn't what I really wanted because the inner sum is significantly more complex than before. Is there a way?



I'm still relatively new to this. If you have a hint, it would mean a lot if you commented it!

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