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Applicable Analysis
An International Journal
Volume 8, 1979 - Issue 3
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Original Articles

The exponential function of a quaternion variable

F. F. Brackx Seminarie voor Wiskundige Analyse, Rijksuniversiteit Gent, J. Plateaustraat 22, Gent, B-9000, BelgiumView further author information
Pages 265-276 | Published online: 02 May 2007

Citations (12)

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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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F. Sommen. (1981) A product and an exponential function in hypercomplex function theory. Applicable Analysis 12:1, pages 13-26.
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Articles from other publishers (10)

Ya.А. Кalinovskiy & Yu.E. Boiarinova. (2021) Method for Representing an Exponent in a Fifth-dimensional Hypercomplex Number Systems Using a Hypercomplex Computing Software. Èlektronnoe modelirovanie 43:6, pages 3-18.
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Ji Eun Kim. (2021) Calculation of vectorial derivatives for functions of a quaternion variable and their properties. Advances in Difference Equations 2021:1.
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O. Dzagnidze. (2018) On Some New Properties of Quaternion Functions. Journal of Mathematical Sciences 235:5, pages 557-603.
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V. Smirnov, V. Pilinsky, D. Vayts & V. Spivak. (2018) Conceptual basis for providing EMC of invariant amplifier-converter systems. Conceptual basis for providing EMC of invariant amplifier-converter systems.
J.A. KALINOVSKY & Y.E. BOYARINOVA. (2016) Experimental Evaluation of Reducing the Amount of Calculations Using Representations of Hypercomplex Nonlinearities.. Èlektronnoe modelirovanie 38:2, pages 83-92.
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Ya.A. KALINOVSKY, Y.E. BOYARINOVA, T.V. SINKOVA & A.S. SUKALO. (2016) Mathematical Modeling of the Trigonometric Functions in a Numerical System of Generalized Quaternions.. Èlektronnoe modelirovanie 38:3, pages 23-32.
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Bukhari Che Ujang, Clive Cheong Took & Danilo P. Mandic. (2011) Quaternion-Valued Nonlinear Adaptive Filtering. IEEE Transactions on Neural Networks 22:8, pages 1193-1206.
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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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I. Cação & H. R. Malonek. 2011. Computational Science and Its Applications - ICCSA 2011. Computational Science and Its Applications - ICCSA 2011 316 326 .
G. Laville & I. Ramadanoff. (2006) An integral transform generating elementary functions in Clifford analysis. Mathematical Methods in the Applied Sciences 29:6, pages 637-654.
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