Keyword

hypercomplex analysis

Description: A branch of mathematical analysis that studies functions and algebraic systems built from number systems extending the real and complex numbers.

Primary topic: Algebraic and Geometric Analysis (66%)

Wikidata ID: wiki/Q5957897

OpenAlex ID: keywords/hypercomplex-analysis

Regular Functions of a Quaternionic Variable

2013 · Graziano Gentili, Caterina Stoppato, et al. · Springer monographs in mathematics · 236

Entire Slice Regular Functions

2016 · Fabrizio Colombo, Irene Sabadini, et al. · SpringerBriefs in mathematics · 131

Clifford Algebras in Analysis and Related Topics

2018 · John Ryan · CRC Press eBooks · 117

Application of Holomorphic Functions in Two and Higher Dimensions

2016 · Klaus Gürlebeck, Klaus Habetha, et al. · Springer eBooks · 93

Sedenions: algebra and analysis

2000 · K. Imaeda, M. Imaeda · Applied Mathematics and Computation · 93

Introduction to Clifford's Geometric Algebra

2013 · Hitzer, Eckhard · arXiv (Cornell University) · 55

PDF

A product and an exponential function in hypercomplex function theory

1981 · F. Sommen · Applicable Analysis · 55

Michele Sce's Works in Hypercomplex Analysis

2020 · Fabrizio Colombo, Irene Sabadini, et al. · Springer eBooks · 51

Regular Functions of a Quaternionic Variable

2022 · Graziano Gentili, Caterina Stoppato, et al. · Springer monographs in mathematics · 47

Harmonic Analysis in Hypercomplex Systems

1998 · Yu. M. Berezansky, A. A. Kalyuzhnyi · Springer eBooks · 44

Relative Convolutions

1999 · Vladimir V. Kisil · Advances in Mathematics · 40

PDF

Integral Representations in Complex, Hypercomplex and Clifford Analysis

2002 · Heinrich Begehr · Integral Transforms and Special Functions · 39

Beiträge zur funktionentheorie in hyperkomplexen Systemen I

1933 · Friedrich Ringleb · Rendiconti del Circolo Matematico di Palermo Series 2 · 38

Hypercomplex Analysis: New Perspectives and Applications

2014 · Swanhild Bernstein, Uwe Kähler, et al. · Trends in mathematics · 33

Monogenic functions in the biharmonic boundary value problem

2015 · Serhii V. Gryshchuk, Sergiy A. Plaksa · Mathematical Methods in the Applied Sciences · 32

PDF

Classical statistical analysis based on a certain hypercomplex multivariate normal distribution

1984 · D. G. Kabe · Metrika · 32

Hypercomplex Analysis

2009 · Sabadini, Irene, Shapiro, Michael, et al. · Birkhäuser Basel eBooks · 30

Quaternionic Analysis in ℝ3 Versus Its Hyperbolic Modification

2001 · Heinz Leutwiler · Springer eBooks · 29

Complex Laplacian and Derivatives of Bicomplex Functions

2013 · M. E. Luna-Elizarrarás, M. Shapiro, et al. · Complex Analysis and Operator Theory · 28

Some Algebraic and Analytical Properties of Coquaternion Algebra

2008 · Anatoliy A. Pogoruy, Ramón M. Rodríguez-Dagnino · Advances in Applied Clifford Algebras · 28

Hypercomplex Analysis and Applications

2010 · Sabadine, Irene, Sommen, Franciscus · Springer eBooks · 27

PDF

Hyperholomorphic functions and higher order partial differential equations in the plane

1990 · R. Z. Yeh · Pacific Journal of Mathematics · 27

PDF

On a Boundary Value Problem of the Biharmonic Equation

1997 · K. Gürlebeck, U. Kähler · Mathematical Methods in the Applied Sciences · 25

The F -functional calculus for unbounded operators

2014 · Fabrizio Colombo, Irene Sabadini · Journal of Geometry and Physics · 23

PDF

Basic Properties of Monogenic Functions in a Biharmonic Plane

2013 · S. Gryshchuk, S. Plaksa · Contemporary mathematics - American Mathematical Society · 22

Works count: 374

Citation count: 2,311