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Single electron transistor at hightemperature 
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#1
Dec2413, 09:46 PM

P: 1

From Ck=[{e^(Scl)*gamma(N+1)*gamma(N+1+u)}/{gamma(1+u)}]/[{gamma(N+1+ak)*gamma(N+1+bk)}/{gamma(1+ak)*gamma(1+bk)}]
How to prove Ck=[e^(Scl)*{gamma(1+ak)*gamma(1+bk)}]/{gamma(1+u)} to get Ck=[{gamma(1+a)*gamma(1+b)}/{gamma^2(1+k)*gamma(1+u)}]*e^(Scl)? by u=[g*Beta*Ec]/[2*(pi)^2] where the correction of order 1/N may be ignored. Employing the definition of the gamma function ; gamma(N+1+a)=(N+a)(N+a1)...(1+a)a! 


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