The gamma function is a good approximation to the luminosity function (LF) of galaxies, and an exponentiated gamma distribution would permit a more rigorous analysis. This paper examines the ...

We define the incomplete gamma function ratio for positive N by \begin{align*}\tag{1}P(N, b, X) &= \int^X_0 t^{N-1}e^{-bt} dt/ \int^\infty_0 t^{N-1}e^{-bt} dt ...

For each distribution, the baseline survival distribution function (S) and the probability density function(f) are listed for the additive random disturbance. These distributions apply when the log of ...

Let’s introduce a method to estimate the errors created by placing the thermocouples in temperature measurement. It will be shown how the errors depend on ...

Abstract: Kolmogrov's power spectrum density model has been utilized for long time to describe the atmosphere turbulence. However, this model has not been accurate many times because it has been used ...

The calculus of residues is one of the many beautiful tools that comes out of the field of complex variables. The calculus of residues is applied, together with the inversion formula for ...