The study of holomorphic semigroups and composition operators occupies a pivotal role in modern analysis, bridging complex function theory and operator theory. Holomorphic semigroups, formed by ...

The Schwarz lemma stands as a cornerstone result in complex analysis, constraining holomorphic self-mappings of the unit disc by bounding both their magnitude and derivative. Traditionally, it affirms ...

This is a preview. Log in through your library . Abstract Holomorphic functions in Rn are defined to generalize those in R2. A Taylor formula and a Cauchy integral formula are presented. An ...

We study mean-value interpolation of Hermite type by a polynomial of degree m in z−1 and n in z. We show that the interpolation problem corresponding to the integrals over the segments of the form ...

Abstract: We construct differential operators which act on holomorphic functions defined on the Hermitian half space of degree n and are equivariant under the action of Sp(n,R), thereby increasing the ...

Abstract: Existing approaches for addressing the continuation power flow problem with limits are mainly iterative and can face the serious drawbacks, e.g., the divergence, slow convergence, and ...