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 ...

Almost periodic functions serve as a powerful conceptual framework in analysing differential equations whose coefficients or forcing terms exhibit recurrent behaviour over time. Rooted in the ...

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 ...

The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...

ANURIA or oliguria after the diagnostic use of ureteral catheters is an infrequent but serious complication in urologic practice, occurring most often with differential renal-function studies for ...