We study the convexity of integral means of subharmonic functions and the convexity of the variations of harmonic functions over certain level curves of some other harmonic functions in the plane.

This is a preview. Log in through your library . Journal Information This monthly journal, begun in 1950, is devoted entirely to research in pure and applied mathematics, principally to the ...

ABSTRACT: In this paper, we get many new analytical solutions of the space-time nonlinear fractional modified KDV-Zakharov Kuznetsov (mKDV-ZK) equation by means of a new approach namely method of ...

ABSTRACT: Is the wave-function a physical reality traveling through our apparatus? Is it a real wave, or it is only a mathematical tool for calculating probabilities of results of measurements?