The Argument Principle for Harmonic Functions

From MaRDI portal
Publication:4886435

DOI10.2307/2974933zbMath0863.31001OpenAlexW4232362231MaRDI QIDQ4886435

Peter Duren, Walter Hengartner, Richard Snyder Laugesen

Publication date: 15 June 1997

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2974933




Related Items (32)

Directional convexity of normalized harmonic convex mappingsZeros of a family of complex-valued harmonic trinomialsHow constant shifts affect the zeros of certain rational harmonic functionsPolynomial approximation of harmonic mappingsCertain new class of harmonic functions involving quantum calculusTranscendental harmonic mappings and gravitational lensing by isothermal galaxiesA note on the maximum number of zeros of \(r(z) - \overline{z}\)$q$-analogue of a class of harmonic functionsTypically real harmonic functionsOrientation at singularities of harmonic functionsOn the geometric properties of the Poisson kernel for the Lamé equationZeros of a one-parameter family of harmonic trinomialsGeneralized \(q\)-starlike harmonic functionsSome harmonic 𝑛-slit mappingsHarmonic mappings related to Scherk's saddle-tower minimal surfacesHarmonic mappings onto starsOn the number of solutions of a transcendental equation arising in the theory of gravitational lensingStability analysis of interconnected discrete-time fractional-order LTI state-space systemsOn the expected number of zeros of a random harmonic polynomialZeros of harmonic polynomials, critical lemniscates, and causticsRosette harmonic mappingsA new class of harmonic univalent functions by the generalized Salagean operatorNumber and location of pre-images under harmonic mappings in the planeConvolutions of slanted half-plane harmonic mappingsA VERSION OF ROUCHÉ’S THEOREM FOR CONTINUOUS FUNCTIONSThe index of singular zeros of harmonic mappings of anti-analytic degree oneUnnamed ItemPerturbing rational harmonic functions by polesVortices and waves in light dark matterOn the zeros of random harmonic polynomials: the truncated modelSome coefficient estimates on real kernel 𝛼-harmonic mappingsOn the number of zeros of certain harmonic polynomials




This page was built for publication: The Argument Principle for Harmonic Functions