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On an Analogue of the Riemann-Hilbert Problem for a Non-linear Perturbation of the Cauchy-Riemann Operator
holomorphic function in a domain via its real part on the boundary. We get an information on the local
Некоторые множества комплексных прямых
минимальной размерности, достаточные
для голоморфного продолжения
интегрируемых функцийIn this paper we consider continuous integrable functions given on the boundary of a bounded simply
Sharp inequalities for the coefficients of concave schlicht functionsLet D denote the open unit disc and let f: D → ℂ be holomorphic and injective in D. We further
On the coefficient multipliers theorem of Hardy and LittlewoodLet an(f) be the Taylor coefficients of a holomorphic function f which belongs to the Hardy space
Basic Schwarz-Pick type inequalities A(ω, Π) = {f: ω → Π of functions locally holomorphic or meromorphic in Ω and, in general
The szegö function on a non-rectifiable arc holomorphic in C\γ function with a prescribed product of its boundary values on γ. The problem of finding
On the Coefficients of Quasiconformality for Convex Functions) ≤ r2 for any convex function holomorphic in E. The function f(ζ) = log((1 + ζ)/(1 -ζ)), which
Starlike cases of the generalized goodman conjecture such a function f, if there exists a function ω holomorphic in D, ω(D) ⊂ D̄, such that g(z) = f(zω(z)), z
Conformal radius: At the interface of traditions role in the forming the Gakhov class of all holomorphic and locally univalent functions in the unit
Stress state of hinged supported thin-wall elastic structures conditions, integral representations for generalized displacements containing arbitrary holomorphic functions
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