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4 results for Michael Parfenov.

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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: 17800Downloads: 15620
quaternionic holomorphic functions quaternionic analysis quaternionic generalization of Cauchy-Riemann’s equations functions of hypercomplex variables
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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: 6532Downloads: 9698
quaternionic analysis quaternionic holomorphic functions Cauchy-Riemann's equations compositions of holomorphic functions polar form holomorphic logarithms quaternionic inverse thigonometric and hyperbolic functions
Abstract Full Text PDF (394 KB) Full Text HTML Full Text ePUB (551 KB)
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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: 10180Downloads: 12916
quaternionicholomorphic functions quaternionic analysis quaternionic generalization of Cauchy-Riemann’s equations rules for quaternionic differentiation quaternionic potential 3D steady state fluid flows
Abstract Full Text PDF (481 KB) Full Text HTML Full Text ePUB (1366 KB)
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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: 12635Downloads: 13060
quaternionic analysis and holomorphic functions quaternionic Cauchy-Riemann’s equations quaternionic potential quaternionic Laplace's equations harmonic functions 3D models of potential fields
Abstract Full Text PDF (485 KB) Full Text HTML Full Text ePUB (806 KB)
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