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 ...

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 ...

Figure 2 Although the Gaussian function is similar to the Exponential function, it leads to less line broadening than the Exponential function. Figure 3 Optimizing the Spectrum In general, optimal ...

The purpose of the Institute of Mathematical Statistics (IMS) is to foster the development and dissemination of the theory and applications of statistics and probability. The Institute was formed at a ...

Math 117 - Pre-Calculus for Scientists and Engineers is a four-credit course will concentrate on analyzing and exploring the basic function classes (linear, quadratic, polynomial, rational, ...

The structure of exponential families of stochastic processes with a time-continuous likelihood function is investigated by means of semimartingale theory. The time-homogeneous exponential families of ...

Prolate spheroidal wave functions (PSWFs) and their discrete counterparts – the discrete prolate spheroidal sequences (DPSSs) – have emerged as essential tools in the analysis of band ...