Fractal Functions: Functions whose graphs display self-similarity and complex, often irregular, structures across different scales, typically characterised by non-integer dimensions.

This applet shows how the graphs of sin (θ) and cos (θ) follow directly from the definition of these functions. Move the slider to change the angle. Observe that after the point moves once around the ...

We first define the q-analogue operators of fractional calculus which are then used in defining certain classes of functions analytic in the open disk. The results investigated for these classes of ...