Harmonic functions, defined as twice continuously differentiable functions satisfying Laplace’s equation, have long been a subject of intense study in both pure and applied mathematics. Their ...

Heun functions, which generalise the well‐known hypergeometric functions, are solutions to the Heun differential equation – a second‐order linear differential equation with four regular singular ...

Abstract. In this paper, we state an efficient method for solving the fractional Riccati differential equation. This equation plays an important role in modeling the various phenomena in physics and ...

A gauge function $V$ for the differential equation (S) $x' = f(x, t)$ is a scalar-valued function sufficiently smooth for $dV(\phi (t), t)/dt$ to exist almost ...