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Complex Variables, Theory and Application: An International Journal Volume 14, 1990 - Issue 1-4
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Original Articles

A new hypercomplex structure of the euclidean space Rm+1 and the concept of hypercomplex differentiability

Helmuth Malonek Sketion Mathematik/Physik der Padagogischen Hochschule "N. K. Krupskaja", Halle- Köthen, Kröllwitzer Str. 44, DDR-4050 Halle, G.D.R.
Pages 25-33 | Received 15 Dec 1998, Published online: 29 May 2007

Citations (34)

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Read on this site (2)

Sebastian Bock. (2019) A generalized monogenic exponential function in ℍ. Complex Variables and Elliptic Equations 64:11, pages 1881-1897.
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K. Gürlebeck & Helmuth R. Malonek. (1999) A hypercomplex derivative of monogenic functsions in and its Applications. Complex Variables, Theory and Application: An International Journal 39:3, pages 199-228.
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Articles from other publishers (32)

Isabel Cação, M. Irene Falcão, Helmuth R. Malonek & Graça Tomaz. (2021) A Sturm‐Liouville equation on the crossroads of continuous and discrete hypercomplex analysis. Mathematical Methods in the Applied Sciences.
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Helmuth R. Malonek, Isabel Cação, M. Irene Falcão & Graça Tomaz. 2019. Modern Methods in Operator Theory and Harmonic Analysis. Modern Methods in Operator Theory and Harmonic Analysis 93 115 .
Sebastian Bock. (2018) On a Class of Monogenic Functions with (Logarithmic) Line Singularities. Advances in Applied Clifford Algebras 28:1.
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Ricardo Abreu Blaya, Juan Bory Reyes, Alí Guzmán Adán & Uwe Kähler. (2016) On the $$\varphi $$ φ -Hyperderivative of the $$\psi $$ ψ -Cauchy-Type Integral in Clifford Analysis. Computational Methods and Function Theory 17:1, pages 101-119.
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I. Cação, M. I. Falcão & H. R. Malonek. (2015) Three-Term Recurrence Relations for Systems of Clifford Algebra-Valued Orthogonal Polynomials. Advances in Applied Clifford Algebras 27:1, pages 71-85.
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Klaus Gürlebeck & Wolfgang Sprößig. 2015. Handbook of Geomathematics. Handbook of Geomathematics 2483 2525 .
Klaus Gürlebeck & Wolfgang Sprößig. 2015. Operator Theory. Operator Theory 1369 1391 .
Mircea Martin. 2015. Operator Theory. Operator Theory 1393 1422 .
I. Cação, M. I. Falcão & H. R. Malonek. (2014) A Matrix Recurrence for Systems of Clifford Algebra-Valued Orthogonal Polynomials. Advances in Applied Clifford Algebras 24:4, pages 981-994.
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Ji Eun Kim, Su Jin Lim & Kwang Ho Shon. (2014) Regularity of Functions on the Reduced Quaternion Field in Clifford Analysis. Abstract and Applied Analysis 2014, pages 1-8.
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Carla Cruz, M. Irene Falcão & Helmuth R. Malonek. 2014. Computational Science and Its Applications – ICCSA 2014. Computational Science and Its Applications – ICCSA 2014 204 220 .
Klaus Gürlebeck & Wolfgang Sprößig. 2015. Operator Theory. Operator Theory 1 21 .
Mircea Martin. 2015. Operator Theory. Operator Theory 1 26 .
Carla Cruz, M. Irene Falcão & Helmuth R. Malonek. 2013. Computational Science and Its Applications – ICCSA 2013. Computational Science and Its Applications – ICCSA 2013 293 303 .
Klaus Gürlebeck & Wolfgang Sprößig. 2020. Handbook of Geomathematics. Handbook of Geomathematics 1 39 .
H. R. Malonek & M. I. Falcão. (2012) On Paravector Valued Homogeneous Monogenic Polynomials with Binomial Expansion. Advances in Applied Clifford Algebras 22:3, pages 789-801.
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I. Cação, M.I. Falcão & H.R. Malonek. (2011) Laguerre derivative and monogenic Laguerre polynomials: An operational approach. Mathematical and Computer Modelling 53:5-6, pages 1084-1094.
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Carla Cruz, M. I. Falcão & H. R. Malonek. 2011. Computational Science and Its Applications - ICCSA 2011. Computational Science and Its Applications - ICCSA 2011 358 373 .
I. Cação & H. R. Malonek. 2011. Computational Science and Its Applications - ICCSA 2011. Computational Science and Its Applications - ICCSA 2011 316 326 .
I. Cação, M. I. Falcão & H. R. Malonek. 2011. Computational Science and Its Applications - ICCSA 2011. Computational Science and Its Applications - ICCSA 2011 271 286 .
H. R. Malonek & G. Tomaz. 2011. Computational Science and Its Applications - ICCSA 2011. Computational Science and Its Applications - ICCSA 2011 261 270 .
M. I. Falcão & Fernando Miranda. 2011. Computational Science and Its Applications - ICCSA 2011. Computational Science and Its Applications - ICCSA 2011 200 214 .
H.R. Malonek & G. Tomaz. (2009) Bernoulli polynomials and Pascal matrices in the context of Clifford analysis. Discrete Applied Mathematics 157:4, pages 838-847.
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Klaus Gürlebeck. 2001. Clifford Analysis and Its Applications. Clifford Analysis and Its Applications 81 89 .
Helmuth R. Malonek. 2001. Clifford Analysis and Its Applications. Clifford Analysis and Its Applications 213 222 .
Helmuth R. Malonek. 2000. Clifford Algebras and their Applications in Mathematical Physics. Clifford Algebras and their Applications in Mathematical Physics 273 285 .
Uwe Kähler. 2000. Clifford Algebras and their Applications in Mathematical Physics. Clifford Algebras and their Applications in Mathematical Physics 3 15 .
Rudolf Heersink & Helmuth R. Malonek. (1999) On initial value problems for quaternionic valued functions. Advances in Applied Clifford Algebras 9:1, pages 77-90.
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Helmuth R. Malonek. 1998. Clifford Algebras and Their Application in Mathematical Physics. Clifford Algebras and Their Application in Mathematical Physics 247 257 .
Vladislav V. Kravchenko, Helmuth R. Malonek & Gustavo Santana. (1996) Biquaternionic Integral Representations for Massive Dirac Spinors in a Magnetic Field and Generalized Biquaternionic Differentiability. Mathematical Methods in the Applied Sciences 19:17, pages 1415-1431.
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Helmuth R. Malonek. 1993. Clifford Algebras and their Applications in Mathematical Physics. Clifford Algebras and their Applications in Mathematical Physics 141 150 .
H. Malonek & B. Müller. (2013) Definition and Properties of a Hypercomplex Singular Integral Operator. Results in Mathematics 22:3-4, pages 713-724.
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