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9 results for quaternion.

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Keyword    quaternion

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On Properties of Holomorphic Functions in Quaternionic Analysis
by Michael Parfenov
American Journal of Mathematical Analysis. 2017, 5(1), 17-24. DOI: 10.12691/ajma-5-1-4
Pub. Date: July 24, 2017Views: 16610Downloads: 14412
quaternionic holomorphic functions quaternionic analysis quaternionic generalization of Cauchy-Riemann’s equations functions of hypercomplex variables
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QK Classes in Clifford Analysis
by M. A. Bakhit
Turkish Journal of Analysis and Number Theory. 2016, 4(3), 82-86. DOI: 10.12691/tjant-4-3-5
Pub. Date: August 27, 2016Views: 12699Downloads: 11660
Clifford analysis quaternion Bloch space QK spaces
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Generalized k-Order Fibonacci and Lucas Quaternions
by Suleyman Aydinyuz and Mustafa Asci
Turkish Journal of Analysis and Number Theory. 2023, 11(1), 1-6. DOI: 10.12691/tjant-11-1-1
Pub. Date: April 17, 2023Views: 4786Downloads: 8316
Fibonacci Numbers Lucas Numbers Generalized k-Order Fibonacci and Lucas Numbers Quaternions Generalized k-Order Fibonacci and Lucas Quaternions Matrix Representations
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On Constructing Complicated Compositions of Quaternionic Holomorphic Functions
by Michael Parfenov
American Journal of Mathematical Analysis. 2021, 9(1), 6-26. DOI: 10.12691/ajma-9-1-2
Pub. Date: January 04, 2022Views: 5349Downloads: 8230
quaternionic analysis quaternionic holomorphic functions Cauchy-Riemann's equations compositions of holomorphic functions polar form holomorphic logarithms quaternionic inverse thigonometric and hyperbolic functions
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The Conjugate Frame Method Relativity
by Gary Feldman
International Journal of Physics. 2018, 6(4), 122-127. DOI: 10.12691/ijp-6-4-4
Pub. Date: August 01, 2018Views: 12232Downloads: 11202
special relativity real quaternion relativity reference frame scalar geodesic
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To Principles of Quantum Theory Construction
by Dmitri Yerchuck, Alla Dovlatova and Andrey Alexandrov
International Journal of Physics. 2014, 2(6), 181-188. DOI: 10.12691/ijp-2-6-1
Pub. Date: November 02, 2014Views: 17176Downloads: 15751
symmetry differential equations quantum theory quaternions
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Essentially Adequate Concept of Holomorphic Functions in Quaternionic Analysis
by Michael Parfenov
American Journal of Mathematical Analysis. 2020, 8(1), 14-30. DOI: 10.12691/ajma-8-1-3
Pub. Date: July 05, 2020Views: 8829Downloads: 11551
quaternionicholomorphic functions quaternionic analysis quaternionic generalization of Cauchy-Riemann’s equations rules for quaternionic differentiation quaternionic potential 3D steady state fluid flows
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A Quaternionic Potential Conception with Applying to 3D Potential Fields
by Michael Parfenov
American Journal of Mathematical Analysis. 2019, 7(1), 1-10. DOI: 10.12691/ajma-7-1-1
Pub. Date: May 28, 2019Views: 11352Downloads: 11765
quaternionic analysis and holomorphic functions quaternionic Cauchy-Riemann’s equations quaternionic potential quaternionic Laplace's equations harmonic functions 3D models of potential fields
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Proca-Maxwell Equations for Dyons with Quaternion
by B. C. Chanyal, S. K. Chanyal, Virendra Singh and A. S. Rawat
Applied Mathematics and Physics. 2016, 4(1), 9-15. DOI: 10.12691/amp-4-1-2
Pub. Date: October 15, 2016Views: 14438Downloads: 13124
quaternion dyons electrodynamics complex-field equations Proca-Maxwell’s equations
Abstract Full Text PDF (172 KB) Full Text HTML Full Text ePUB (250 KB)
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