R. Michael Porter

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Bergman kernels for monogenic and contragenic functions in the interior and exterior of a sphere	2024	Raybel García‐Ancona J. Morais R. Michael Porter
+	Harmonic and Monogenic Functions on Toroidal Domains	2024	Z. Ashtab J. Morais R. Michael Porter
+ PDF Chat	Quaternionic metamonogenic functions in the unit disk	2023	J. Morais R. Michael Porter
+ PDF Chat	Fourier method for the Neumann problem on a torus	2023	Z. Ashtab J. Morais R. Michael Porter
+	Reduced‐quaternion inframonogenic functions on the ball	2023	Cynthia Álvarez-Peña J. Morais R. Michael Porter
+	Harmonic and monogenic functions on toroidal domains	2023	Z. Ashtab J. Morais R. Michael Porter
+ PDF Chat	Reduced-quaternionic Mathieu functions, time-dependent Moisil-Teodorescu operators, and the imaginary-time wave equation	2022	J. Morais R. Michael Porter
+	Quaternionic metamonogenic functions in the unit disk	2022	J. Morais R. Michael Porter
+	Reduced-quaternion inframonogenic functions on the ball	2022	C. Álvarez J. Morais R. Michael Porter
+	Neumann problem on a torus	2022	Z. Ashtab J. Morais R. Michael Porter
+	Complete Systems of Beltrami Fields Using Complex Quaternions and Transmutation Theory	2021	Vladislav V. Kravchenko Pablo E. Moreira R. Michael Porter
+	Reduced-quaternionic Mathieu functions, time-dependent Moisil-Teodorescu operators, and the imaginary-time wave equation	2021	J. Morais R. Michael Porter
+ PDF Chat	Relations among spheroidal and spherical harmonics	2020	Raybel García‐Ancona J. Morais R. Michael Porter
+	Relations among spheroidal and spherical harmonics	2019	Raybel García‐Ancona J. Morais R. Michael Porter
+	Hardy Spaces for the Three-Dimensional Vekua Equation	2019	Briceyda B. Delgado R. Michael Porter
+	Relations among spheroidal and spherical harmonics	2019	Raybel García‐Ancona J. Morais R. Michael Porter
+ PDF Chat	Hilbert transform for the three-dimensional Vekua equation	2018	Briceyda B. Delgado R. Michael Porter
+ PDF Chat	Contragenic functions on spheroidal domains	2018	Raybel García‐Ancona J. Morais R. Michael Porter
+	Hilbert transform for the three-dimensional Vekua equation	2018	Briceyda B. Delgado R. Michael Porter
+ PDF Chat	Spectral parameter power series for arbitrary order linear differential equations	2018	Vladislav V. Kravchenko R. Michael Porter Sergii M. Torba
+	Hilbert transform for the three-dimensional Vekua equation	2018	Briceyda B. Delgado R. Michael Porter
+	Spectral parameter power series for arbitrary order linear differential equations	2017	Vladislav V. Kravchenko R. Michael Porter Sergii M. Torba
+ PDF Chat	General Solution of the Inhomogeneous Div-Curl System and Consequences	2017	Briceyda B. Delgado R. Michael Porter
+	General solution of the inhomogenous div-curl system and consequences	2017	Briceyda B. Delgado R. Michael Porter
+	Mixed linear-nonlinear least squares regression	2017	Alberto Herrera‐Gómez R. Michael Porter
+	Spectral parameter power series for arbitrary order linear differential equations	2017	Vladislav V. Kravchenko R. Michael Porter Sergii M. Torba
+ PDF Chat	Numerical Solution of the Beltrami Equation Via a Purely Linear System	2016	R. Michael Porter Hirokazu Shimauchi
+ PDF Chat	On Sturm–Liouville equations with several spectral parameters	2015	R. Michael Porter
+ PDF Chat	Numerical Conformal Mapping to One-Tooth Gear-Shaped Domains and Applications	2015	Philip R. Brown R. Michael Porter
+ PDF Chat	Gears, pregears and related domains	2015	Philip R. Brown R. Michael Porter
+	On Sturm-Liouville Equations with Several Spectral Parameters	2015	R. Michael Porter
+	Gears, Pregears and Related Domains	2015	Philip R. Brown R. Michael Porter
+	Numerical Conformal Mapping to One-Tooth Gear-Shaped Domains and Applications	2015	Philip R. Brown R. Michael Porter
+	A numerical algorithm for solving the Beltrami equation	2015	R. Michael Porter Hirokazu Shimauchi
+	On Sturm-Liouville Equations with Several Spectral Parameters	2015	R. Michael Porter
+	Gears, Pregears and Related Domains	2015	Philip R. Brown R. Michael Porter
+	Numerical Conformal Mapping to One-Tooth Gear-Shaped Domains and Applications	2015	Philip R. Brown R. Michael Porter
+	Numerical solution of the Beltrami equation via a purely linear system	2014	R. Michael Porter Hirokazu Shimauchi
+	Numerical solution of the Beltrami equation via a purely linear system	2014	R. Michael Porter Hirokazu Shimauchi
+	Appell Bases for Monogenic Functions of Three Variables	2013	Cynthia Álvarez-Peña R. Michael Porter
+ PDF Chat	Contragenic Functions of Three Variables	2013	Cynthia Álvarez-Peña R. Michael Porter
+	Contragenic Functions of Three Variables	2012	Cynthia Álvarez-Peña R. Michael Porter
+ PDF Chat	Conformal Mapping of Circular Quadrilaterals and Weierstrass Elliptic Functions	2012	Philip R. Brown R. Michael Porter
+	Contragenic Functions of Three Variables	2012	Cynthia Álvarez-Peña R. Michael Porter
+	Conformal Mapping of Circular Quadrilaterals and Weierstrass Elliptic Functions	2010	Philip R. Brown R. Michael Porter
+ PDF Chat	Conformal mapping of right circular quadrilaterals	2010	Vladislav V. Kravchenko R. Michael Porter
+	Conformal Mapping of Circular Quadrilaterals and Weierstrass Elliptic Functions	2010	Philip R. Brown R. Michael Porter
+ PDF Chat	Spectral parameter power series for Sturm–Liouville problems	2009	Vladislav V. Kravchenko R. Michael Porter
+	Conformal Mapping of Right Circular Quadrilaterals	2009	Vladislav V. Kravchenko R. Michael Porter
+	Spectral parameter power series for Sturm-Liouville problems	2008	Vladislav V. Kravchenko R. Michael Porter
+	Numerical Solution of the Beltrami Equation	2008	R. Michael Porter
+	Spectral parameter power series for Sturm-Liouville problems	2008	Vladislav V. Kravchenko R. Michael Porter
+	Numerical Calculation of Conformal Mapping to a Disk Minus Finitely Many Horocycles	2006	R. Michael Porter
+	An Accelerated Osculation Method and its Application to Numerical Conformal Mapping	2003	R. Michael Porter
+	An Interpolating Polynomial Method for Numerical Conformal Mapping	2001	R. Michael Porter
+	Quasiconformally explodable sets	1998	R. Michael Porter L. F. Reséndis
+	Quaternlonic möbius transformations and loxodromes	1998	R. Michael Porter
+	Möbius invariant quaternion geometry	1998	R. Michael Porter
+	A bound for quasisymnnetry of polynomials	1996	R. Michael Porter L. F. Reséndis
+	On Dualities Generated by the Generalised Hurwitz Problem	1994	Julian Ławrynowicz R. Michael Porter Enrique Ramírez de Arellano Jakub Rembieliński
+	On symmetric circular polygons	1993	R. Michael Porter
+	Biregular Quaternionic Functions	1993	Wiesław Królikowski R. Michael Porter
+	On the Analogue of the $$\bar \partial$$ -Problem in Quaternionic Analysis	1993	R. Michael Porter Michael Shapiro Nikolai Vasilevski
+	Quaternionic regular and biregular functions in the sense of fueter	1992	W Kroikowski R. Michael Porter
+	Extended monodromy for bordered surfaces	1990	Daniel M. Gallo R. Michael Porter
+	On symmetric circular polygons	1990	R. Michael Porter
+	COMPLEX ANALYTIC THEORY OF TEICHMÜLLER SPACE	1989	R. Michael Porter
+	Projective structures on open surfaces	1983	Daniel M. Gallo R. Michael Porter
+	Prescribed monodromy on noncompact surfaces	1983	R. Michael Porter

Common Coauthors

Coauthor	Papers Together
J. Morais	13
Vladislav V. Kravchenko	9
Philip R. Brown	8
Briceyda B. Delgado	6
Cynthia Álvarez-Peña	5
Raybel García‐Ancona	5
Z. Ashtab	4
Hirokazu Shimauchi	4
Sergii M. Torba	3
J. Morais	2
Daniel M. Gallo	2
L. F. Reséndis	2
Wiesław Królikowski	1
W Kroikowski	1
Pablo E. Moreira	1
Nikolai Vasilevski	1
Alberto Herrera‐Gómez	1
Michael Shapiro	1
Philip R. Brown	1
Julian Ławrynowicz	1
Enrique Ramírez de Arellano	1
Carlos Orozco-Álvarez	1
Jakub Rembieliński	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Holomorphic Functions in the Plane and n-dimensional Space	2007	Klaus Gürlebeck Klaus Habetha Wolfgang Sprößig	15
+	Analytic function theory	1959	Einar Hille	11
+	Application of Holomorphic Functions in Two and Higher Dimensions	2016	Klaus Gürlebeck Klaus Habetha Wolfgang Sprößig	9
+	Quaternionic Analysis and Elliptic Boundary Value Problems	1990	Klaus Gürlebeck Wolfgang Sprößig	9
+	Quaternionic analysis	1979	A. Sudbery	8
+ PDF Chat	Spectral parameter power series for Sturm–Liouville problems	2009	Vladislav V. Kravchenko R. Michael Porter	8
+	Applied quaternionic analysis	2003	Vladislav V. Kravchenko	7
+ PDF Chat	Inverse Problems for Partial Differential Equations	1998	Victor Isakov	7
+ PDF Chat	Schwarz-Christoffel Mapping	2002	Tobin A. Driscoll Lloyd N. Trefethen	6
+ PDF Chat	Conformal Mapping of Circular Quadrilaterals and Weierstrass Elliptic Functions	2012	Philip R. Brown R. Michael Porter	6
+	A representation for solutions of the Sturm–Liouville equation	2008	Vladislav V. Kravchenko	6
+	Real-part estimates for solutions of the Riesz system in ℝ<sup>3</sup>	2011	J. Morais Klaus Gürlebeck	6
+	Theory of pseudo-analytic functions	1953	Lipman Bers	6
+	Integral Representations For Spatial Models of Mathematical Physics	2020	Vladislav V. Kravchenko Michael Shapiro	6
+	On a generalized Appell system and monogenic power series	2009	S. Bock Klaus Gürlebeck	6
+ PDF Chat	Laguerre derivative and monogenic Laguerre polynomials: An operational approach	2010	Isabel Cação M. I. Falcão Helmuth R. Malonek	6
+	Hardy Spaces and the Neumann Problem in L p for Laplace's Equation in Lipschitz Domains	1987	Björn E. J. Dahlberg Carlos E. Kenig	6
+	Real Quaternionic Calculus Handbook	2014	J. Morais Svetlin G. Georgiev Wolfgang Sprößig	5
+	Quaternionic and Clifford calculus for physicists and engineers	1997	Klaus Gürlebeck Wolfgang Sprößig	5
+ PDF Chat	Conformal mapping of right circular quadrilaterals	2010	Vladislav V. Kravchenko R. Michael Porter	5
+	Applied Pseudoanalytic Function Theory	2009	Vladislav V. Kravchenko	5
+ PDF Chat	The Schwarzian derivative and schlicht functions	1949	Zeev Nehari	5
+	Complete orthonormal sets of polynomial solutions of the Riesz and Moisil-Teodorescu systems in ℝ3	2010	Isabel Cação	5
+ PDF Chat	Spatial pseudoanalytic functions arising from the factorization of linear second order elliptic operators	2011	Vladislav V. Kravchenko Sébastien Tremblay	5
+	On homogeneous polynomial solutions of the Riesz system and their harmonic potentials	2007	R. Delanghe	5
+	An investigation of a two parameter problem for conformal maps onto circular arc quadrilaterals	2007	Philip R. Brown	5
+	Orthogonal Appell systems of monogenic functions in the cylinder	2011	J. Morais Huan Le	5
+	Mapping onto circular arc polygons	2005	Philip R. Brown	5
+ PDF Chat	Lectures on Quasiconformal Mappings	2006	Lars V. Ahlfors	4
+	Rounding corners of gearlike domains and the omitted area problem	1986	Roger Barnard Kent Pearce	4
+ PDF Chat	Contragenic Functions of Three Variables	2013	Cynthia Álvarez-Peña R. Michael Porter	4
+	On Homogeneous Polynomial Solutions of the Moisil-Théodoresco System in ℝ3	2008	Richard Delanghe	4
+	Conformal Mapping of a Gear Domain with One Tooth	2010	Philip R. Brown	4
+	Quasiconformal Mappings in the Plane	1973	Olli Lehto K. I. Virtanen	4
+ PDF Chat	Complete systems of recursive integrals and Taylor series for solutions of Sturm–Liouville equations	2012	Vladislav V. Kravchenko Samy Morelos Sébastien Tremblay	4
+ PDF Chat	General Solution of the Inhomogeneous Div-Curl System and Consequences	2017	Briceyda B. Delgado R. Michael Porter	4
+	Hilbert Transforms on the Sphere and Lipschitz Surfaces	2008	Tao Qian	4
+	Generalized Analytic Functions.	1964	Avner Friedman I. N. Vekua	4
+ PDF Chat	A Constructive Method for Numerically Computing Conformal Mappings for Gearlike Domains	1991	Kent Pearce	4
+	Orthogonal Appell Bases in Dimensions 2, 3 and 4	2010	S. Bock Theodore E. Simos George Psihoyios Ch. Tsitouras	4
+ PDF Chat	Inverse Acoustic and Electromagnetic Scattering Theory	2012	David Colton Rainer Kreß	4
+	Numerical Calculation of Conformal Mapping to a Disk Minus Finitely Many Horocycles	2006	R. Michael Porter	4
+ PDF Chat	Calderón’s inverse conductivity problem in the plane	2006	Kari Astala Lassi Païvärinta	4
+	On 3D orthogonal prolate spheroidal monogenics	2015	J. Morais Hung Manh Nguyen Kit Ian Kou	4
+	Conformal Mapping of Circular Arc Polygons	1987	Petter E. Bjørstad Eric H. Grosse	4
+	On the Bergman Theory for Solenoidal and Irrotational Vector Fields, I: General Theory	2010	José Oscar González‐Cervantes M. Elena Luna–Elizarrarás Michael Shapiro	4
+	Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems	1994	Carlos E. Kenig	4
+	Hypercomplex Function Theory and Hilbert Modules with Reproducing Kernel	1978	R. Delanghe Fred Brackx	3
+	On orthogonal monogenics in oblate spheroidal domains and recurrence formulae	2014	Hung Manh Nguyen Klaus Gürlebeck J. Morais S. Bock	3
+	Spectral parameter power series for fourth-order Sturm–Liouville problems	2012	Kira V. Khmelnytskaya Vladislav V. Kravchenko Jesús A. Baldenebro-Obeso	3