Given a pair of shapes in the plane, a differentiable function between them is said to be holomorphic if it preserves angles. Such a function may deform the original shapes, transforming straight ...

Mock theta functions were introduced by Ramanujan in 1920. They have become a vivid area of research, and they continue to play important roles in different parts of mathematics and physics. In this ...

Mathematical Proceedings of the Royal Irish Academy, Vol. 106A, No. 1 (JUNE 2006), pp. 97-113 (17 pages) We prove that two domains of holomorphy U and V in separable Fréchet spaces with the bounded ...

Project dealing with the numerical calculation of zeros, poles and residues of holomorphic and meromorphic functions. It aspires to be a PYthon ZEAL (ZEros of AnaLytic functions, a Fortran90 package) ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

A condition is given which insures that the orthogonal projection of a function into the holomorphic functions is holomorphically extendible across a given boundary point. Journal Information This ...

Abstract: In this paper, we propose an efficient continuation method for locating multiple power flow solutions. We adopt the holomorphic embedding technique to represent solution curves as ...

Abstract: Holomorphic functions have fine mathematical properties such as the Cauchy-Rieman relation, infinite differentiability, conformality, and Laurent expandability. For treating these functions, ...