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 this paper, we defined and studied the concept of exponential type multiplicatively convex functions and some of their algebraic properties. We derived Hermite-Hadamard inequalities for this class ...

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 ...

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 ...

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‐limited ...

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.