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

Video 5: Derivatives of Trigonometric and Exponential Functions In the Derivatives of Trigonometric and Exponential Functions video we discuss how to add the aforementioned functions to our repertoire ...

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 ...

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 ...

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.