A Survey on the (Hyper-) Derivatives in Complex, Quaternionic and Clifford Analysis

M. Elena Luna–Elizarrarás, Michael Shapiro

Type: Article

Publication Date: 2011-11-04

Citations: 31

DOI: https://doi.org/10.1007/s00032-011-0169-0

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Locations

Milan Journal of Mathematics - View

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+	Quaternionic Analysis and Some Conventional Theories	2014	Michael Shapiro
+	On Monogenic Series Expansions with Applications to Linear Elasticity	2014	S. Bock
+	<i>ψ</i>‐Hyperholomorphic functions and a Kolosov–Muskhelishvili formula	2015	S. Bock Klaus Gürlebeck Dmitrii Legatiuk Hung Manh Nguyen
+	On orthogonal monogenics in oblate spheroidal domains and recurrence formulae	2014	Hung Manh Nguyen Klaus Gürlebeck J. Morais S. Bock
+	On ψ-hyperholomorphic functions in R[sup 3]	2013	Klaus Gürlebeck Hung Manh Nguyen
+ PDF Chat	Local distortion of M-conformal mappings	2014	J. Morais Craig A. Nolder
+	Generalized holomorphic orthogonal function systems over infinite cylinders	2014	J. Morais Kit Ian Kou Huan Le
+	On monogenic mappings of a quaternionic variable	2017	Vitalii Shpakivskyi T. S. Kuzmenko
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Works Cited by This (14)

Action	Title	Year	Authors
+	On the Hyperderivatives of Dirac-hyperholomorphic Functions of Clifford Analysis	2012	M. Elena Luna–Elizarrarás Marco A. Macías-Cedeño Michael Shapiro
+	Quaternionic Analysis and Elliptic Boundary Value Problems	1990	Klaus Gürlebeck Wolfgang Sprößig
+	Quaternionic ψ-hyperholomorphic functions, singular integral operators and boundary value problems I. ψ-hyperholomorphic function theory	1995	Michael Shapiro Nikolai Vasilevski
+	Integral Representations For Spatial Models of Mathematical Physics	2020	Vladislav V. Kravchenko Michael Shapiro
+	Differentiation of the Martinelli‐Bochner Integrals and the Notion of Hyperderivability	1995	Igor M. Mitelman Michael Shapiro
+	A hypercomplex derivative of monogenic functsions in and its Applications	1999	Klaus Gürlebeck Helmuth R. Malonek
+	Elements of Quaternions. By W. R. Hamilton. Edited by C. J. Joly. 2 volumes. 1969. (Chelsea, New York.)	1970	R. L. Goodstein
+	Hyperderivatives in Clifford Analysis and Some Applications to the Cliffordian Cauchy-type Integrals	2008	M. Elena Luna–Elizarrarás Marco A. Macías-Cedeño Michael Shapiro
+	Hyperkomplexe Differentiale	1947	H. Haefeli
+	Quaternionic analysis	1979	A. Sudbery