Nature

Heun Functions and Differential Equations

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 ...
BBC

Applying differential calculus Optimisation

To find the maximum or minimum values of a function, we would usually draw the graph in order to see the shape of the curve. Now, using our knowledge from differentiation, we can find these greatest ...
JSTOR Daily

Systems of $n$ Partial Differential Equations in $n$ Unknown Functions: the Conjecture of M. Janet

This is a preview. Log in through your library . Abstract It was conjectured by Janet that an analytic solution to a system of $n$ "independent" analytic differential ...
JSTOR Daily

Example of a Monotonic, Everywhere Differentiable Function on ℝ Whose Derivative Is not Continuous

https://doi.org/10.4169/amer.math.monthly.120.06.566 https://www.jstor.org/stable/10.4169/amer.math.monthly.120.06.566 Abstract We construct an example of a monotonic ...