Special functions occupy a central role in mathematical analysis, bridging pure theory and practical application across diverse scientific fields. Their intrinsic properties—such as recurrence ...

The normal, Poisson, gamma, binomial, and negative binomial distributions are univariate natural exponential families with quadratic variance functions (the variance is at most a quadratic function of ...

Essentially, apodization has the ability to improve the sensitivity (S/N ratio) or the resolution in the spectrum and to even eliminate truncation artifacts following data collection. This function is ...

In everyday speech, exponential growth means runaway expansion. Math class taught us that compound interest, population increase, or radioactive decay are all applications of exponential functions.

Moore’s Law is the most iconic statement of exponential technology advancement, doubling transistor count and hence functional performance every 24 months. Many pundits [1-3] have observed that while ...