Help with Summation: Simplifying & Gamma Function

  • Thread starter Thread starter epkid08
  • Start date Start date
  • Tags Tags
    Summation
epkid08
Messages
264
Reaction score
1
Is there a way to simplify this sum to a generalized function? Would I have to use the gamma function?

\sum^x_{k=0} ({t \choose {2k}}/(2k+1)^y)

where x and y are constants

This is not homework.
 
Last edited:
Mathematics news on Phys.org
Would it help at all if I added that x is a function of t?
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'Useless continued fraction for 1'

I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
View full post »

Similar threads

I How Can Nested Summation Functions Be Simplified or Reversed?
Replies
6
Views
2K
I Is there any way to simplify my proof by induction?
Replies
13
Views
2K
A Summation simpilification process
Replies
5
Views
1K
Is This a New Expression for the Beta Function?
Replies
2
Views
2K
A Ramanujan Summation, Variations of
Replies
7
Views
2K
I Can the Double Summation be Simplified?
Replies
7
Views
4K
A Simplifying a double summation
Replies
3
Views
2K
I Einstein summation convention confusion
Replies
5
Views
1K
B Generating the formula for the coefficients of an alternating series
Replies
17
Views
4K
A Coefficients of Chebyshev polynomials
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top