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Found 32 Documents (Results 1–32)

Biquaternions for analytic and numerical solution of equations of electrodynamics. (English) Zbl 1232.35162

Escassut, A. (ed.) et al., Some topics on value distribution and differentiability in complex and \(p\)-adic analysis. Beijing: Science Press (ISBN 978-7-03-020406-6). Mathematics Monograph Series 11, 301-322 (2008).
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Full Text: arXiv

On a new approach for solving Dirac equations with some potentials and Maxwell’s system in inhomogeneous media. (English) Zbl 1006.30030

Elschner, J. (ed.) et al., Problems and methods in mathematical physics. The Siegfried Prössdorf memorial volume. Proceedings of the 11th TMP conference, Chemnitz, Germany, March 25-28, 1999. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 121, 278-306 (2001).
MSC:  30G35 81Q05 78A25
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Applied quaternionic analysis. Maxwell’s system and Dirac’s equation. (English) Zbl 1027.30070

Florian, H. (ed.) et al., Functional-analytic and complex methods, their interactions, and applications to partial differential equations. Proceedings of the international Graz workshop, Graz, Austria, February 12-16, 2001. Singapore: World Scientific. 143-160 (2001).
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A quaternionic generalization of the Riccati differential equation. (English) Zbl 1038.30021

Brackx, F. (ed.) et al., Clifford analysis and its applications. Proceedings of the NATO advanced research workshop, Prague, Czech Republic, October 30–November 3, 2000. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-7044-9/hbk; 0-7923-7045-7/pbk). NATO Sci. Ser. II, Math. Phys. Chem. 25, 143-154 (2001).
MSC:  30G35 35J60
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Full Text: arXiv

Quaternion-valued integral representations of the harmonic electromagnetic and spinor fields. (English. Russian original) Zbl 0945.30037

Dokl. Math. 51, No. 2, 287-289 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 341, No. 5, 603-605 (1995).
MSC:  30G35 35Q40 35Q80 35C15
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Helmholtz operator with a quaternionic wave number and associated function theory. (English) Zbl 0831.30030

Ławrynowicz, Julian (ed.), Deformations of mathematical structures 2: Hurwitz-type structures and applications to surface physics. Selected papers from the seminar on deformations, Łódź-Malinka, Poland, 1988-1992. Dordrecht: Kluwer Academic Publishers Group. 101-128 (1994).
Reviewer: G.Laville (Caen)
MSC:  30G35
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