By definite integral, gamma function can be defined as
\Gamma(z)= \int_{0}^{\infty} t^{z-1}e^{-t} dt
I've learned some properties of Gamma function but my lecturer didn't tell us the domain of Gamma function. (I'm assuming it is defined for all non-negative real numbers).
I thought of...
I was just thinking, nuclear fusion in the core of a star produces a gamma ray burst that takes about one million years to reach the surface of the star where it becomes visible light. Why does it take the gamma ray one million years to reach the surface if it is traveling at light speed? I...
Hi, can someone tell me the extinction coefficient of a gamma ray in the atmosphere? How far does a gamma beam go in the atmosphere before its intensity reduces to half or to 1/e?
This Paper may be large, but it is a must for some pretty far reaching consequences for Cosmology.
http://uk.arxiv.org/PS_cache/astro-ph/pdf/0312/0312347.pdf
I will astounded if the paper is not seen in the near future as a remarkable paper of astronomical foresight and will be a paper...
Does anybody know if it's possible to evaluate the gamma function analytically? I know it becomes a factorial for integers, and there's a trick involving a switch to polar coordinates for half values, but what about any other number? I have tried using a Taylor expansion and residue...
It's embarassing to have to ask this, but I have never seen this issue discussed. Is there an upper limit on the energy of the gamma rays from the gamma ray bursts? Namely 1.022 MeV? Because any gamma ray of that energy or greater can and will produce pairs of electrons and positrons by...
some news about the origin of gamma ray bursts, this may be
old news to some.there have been many theories for the production
of gamma rays, it seems now that the search is narrowing.
http://www1.msfc.nasa.gov/NEWSROOM/news/releases/2003/03-041.html
Using NASA's Chandra X-ray...
Hello, can anyone please me here?
I need to prove that
int(x^a(lnx)^b.dx= (-1)^b/((1+a)^b+1)*Gamma(b+1)
by making the substitution x=e^-y
this is what I have done so far:
x=e^-y -> y=-lnx
x=0 -> y=-(-00) =+00
x=1 -> y=0
dy/dx = -1/x -> dx=-xdy =-e^-ydy
then the integral...
This may be a dumb question:
What is it about radioactivity that caused them to name it "radioactive"?
All I was taught was that radioactivity is an emission of gamma particles, beta particles, or alpha particles. I don't remember anything about radio wavelength photons.