Harmonic mappings and logharmonic functions occupy a central role in complex analysis and applied mathematics. Harmonic mappings are functions that satisfy Laplace’s equation and are frequently ...

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 ...

For 0 < s ≤ 1, we characterize those compact sets X with the property that each function harmonic in X̊ and satisfying a little o Lipschitz condition of order s is the limit in the Lipschitz norm of ...

This is a preview. Log in through your library . Abstract A continuous function on the complex plane is harmonic if and only if the span of its compositions with entire functions is not dense in the ...

Abstract: This Concept Schur- Convexity, first brought by Elezovic and Pecaric for describe the meanly behavior of convex functions, now extended for covering the medium of two-variable Schur- ...

In the early nineteenth century, the French mathematical physicist Joseph Fourier showed that many mathematical functions can be represented as the weighted sum of a series of sines and cosines of ...

Abstract: We consider harmonic sections of a bundle over the complement of a codimension 2 submanifold in a Riemannian manifold, which can be thought of as multivalued harmonic functions. We prove a ...