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This python package aims at finding poles and zeros of a meromorphic function with their multiplicities inside a closed contour in the complex plane. All the roots can be found without initial guess.

They use a general principal that provides meromorphic continuation to solutions of "special" analytic family of systems of linear equations (ASLE) over a complex manifold. We will discuss the concept ...

The direct problem is discussed, including a detailed analysis of the discrete spectrum in the presence of such double zeros. Such cases lead to double poles for the meromorphic matrices appearing in ...

Abstract: First an “irregular Riemann-Hilbert correspondence” is established for meromorphic connections on principal G-bundlesover a disc, where G is any connected complex reductive group. Secondly, ...

Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most ...

Part of: Elementary classical functions Entire and meromorphic functions, and related topics Differential equations in the complex domain Zeta and $L$-functions ...

Symmetry is a classic study of symmetry in mathematics, the sciences, nature, and art from one of the twentieth century's greatest mathematicians. Hermann Weyl explores the concept of symmetry ...

Topics covered include holomorphic functions, harmonic functions, power series, Cauchy-Riemann equations, Cauchy's integral formula, poles, meromorphic functions, Laurent series, residue theorem, ...