-plane analysis for the fundamental problems of a stretched infinite plate weakened by curvilinear holes.
Safe convergence of Chebyshev-like method.
Safe convergence of Tanabe's method.
Sălăgean-type harmonic multivalent functions.
Salagean-type harmonic univalent functions.
Sampling Sets for the Nevanlinna class.
Sandwich theorems for analytic functions defined by convolution.
Sandwich-type results for a class of functions defined by a generalized differential operator
Scaling limits of anisotropic Hastings–Levitov clusters
We consider a variation of the standard Hastings–Levitov model HL(0), in which growth is anisotropic. Two natural scaling limits are established and we give precise descriptions of the effects of the anisotropy. We show that the limit shapes can be realised as Loewner hulls and that the evolution of harmonic measure on the cluster boundary can be described by the solution to a deterministic ordinary differential equation related to the Loewner equation. We also characterise the stochastic fluctuations...
Schlicht Holomorphic Functions an the Riccati Differntial Equation.
Schlichte Funktionen im Einheitskreis, die einen Randbogen in einen Randbogen abbilden.
Schlichte Funktionen und analytische Funktionen von beschränkter mittlerer Oszillation.
Schlichte Linearkombinationen holomorpher Funktionen aus H (D).
Schlichtheitskriterien und Jordangebiete.
Schroeder's functions
Schur's Theorem on the Stability of Networks
A complex polynomial is called a Hurwitz polynomial if all its roots have a real part smaller than zero. This kind of polynomial plays an all-dominant role in stability checks of electrical networks.In this article we prove Schur's criterion [17] that allows to decide whether a polynomial p(x) is Hurwitz without explicitly computing its roots: Schur's recursive algorithm successively constructs polynomials pi(x) of lesser degree by division with x - c, ℜ {c} < 0, such that pi(x) is Hurwitz if...
Schwarz-Christoffel mapping in the computer era.
Schwarzian derivatives of topologically finite meromorphic functions.
Schwarzian derivatives, the Poincaré metric and the kernel function.
Schwarzovy-Christoffelovy integrály