We'll start by reviewing the basic properties of exponential functions and their derivatives, laying the groundwork for understanding their integrals.

A PHASE relation familiar to students of applied mathematics exists between a simple harmonic oscillation and its derivative. Similar relations exist between exponential functions and their ...

The potential energy integrals are reduced to quadratures and the other integrals are expressed in closed form. In the general case the quadratic forms Qk determine many-electron functions formed from ...

In the present paper, our aim is to establish several formulas involving integral transforms and fractional derivatives of this family of incomplete hypergeometric functions. As corollaries and ...

Fractional Calculus: A generalisation of classical calculus involving derivatives and integrals of non‐integer order, providing new models for anomalous diffusion and memory effects in materials.