Search Results - "Functions of hypercomplex variables"

Analytic Functions of Hypercomplex Variables

Authors: Ketchum, P. W.

Source: Transactions of the American Mathematical Society, 1928 Oct 01. 30(4), 641-667.

Access URL: https://www.jstor.org/stable/1989440

On spherical shells containing all the zeros of a quaternionic polynomial

Authors: Gradimir V. Milovanović Abdullah Mir Wasim Ahmad Thoker et al.

Source: Analysis. 45:139-148

Subject Terms: Functions of hypercomplex variables and generalized variables, zeros, quaternionic polynomials

File Description: application/xml

SEDENION FUNCTIONS OF HYPERCOMPLEX VARIABLES IN THE SENSE OF CLIFFORD ANALYSIS

Authors: Su Hyun Park Kwang Ho Shon

Source: East Asian mathematical journal. 29:521-527

Subject Terms: 0101 mathematics, 01 natural sciences

Access URL: http://www.ndsl.kr/soc_img/society/bgms/E1BGBB/2013/v29n5/E1BGBB_2013_v29n5_521.pdf
http://www.ndsl.kr/soc_img/society/bgms/E1BGBB/2013/v29n5/E1BGBB_2013_v29n5_521.pdf
https://www.koreascience.kr/article/ArticleFullRecord.jsp?cn=E1BGBB_2013_v29n5_521
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=E1BGBB_2013_v29n5_521

Dirichlet Boundary Value Problems for Monogenic Functions of Prescribed Hölder Continuously Differentiable Data on Distinguishing Boundaries in Clifford Analysis: Dirichlet boundary value problems for monogenic functions of prescribed Hölder continuously differentiable data on distinguishing boundaries in Clifford analysis

Authors: Dao Viet Cuong Wolfgang Tutschke Le Hung Son

Source: Complex Analysis and Operator Theory. 19

Subject Terms: monogenic functions, Boundary value problems for linear first-order PDEs, Cauchy-Riemann system in higher dimensions, Functions of hypercomplex variables and generalized variables, boundary value problem, Boundary value and inverse problems for harmonic functions in higher dimensions, Clifford analysis

File Description: application/xml

Access URL: https://zbmath.org/8033586
https://doi.org/10.1007/s11785-025-01679-6

Bergman spaces and reproducing kernel for the biquaternionic Vekua equation

Authors: Víctor A. Vicente-Benítez

Source: Boletín de la Sociedad Matemática Mexicana. 31

Subject Terms: Bergman spaces and Fock spaces, Mathematics - Analysis of PDEs, Functions of hypercomplex variables and generalized variables, Bergman spaces, Generalizations of Bers and Vekua type (pseudoanalytic, \(p\)-analytic, etc.), reproducing integral kernel, FOS: Mathematics, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 30G20, 30G35, 30H20, 46E22, biquaternionic Vekua equation, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: http://arxiv.org/abs/2406.07744
https://zbmath.org/8032028
https://doi.org/10.1007/s40590-025-00714-y

H-B Theorems of Cauchy Integral Operators in Clifford Analysis: H-B theorems of Cauchy integral operators in Clifford analysis

Authors: Yufeng Wang Zhongxiang Zhang

Source: Advances in Applied Clifford Algebras. 35

Subject Terms: Functions of hypercomplex variables and generalized variables, Series solutions to PDEs, Cauchy integral operator, Clifford algebra, generalized Hölder norm, Harmonic, subharmonic, superharmonic functions in higher dimensions

File Description: application/xml

Spectral properties of the gradient operator with nonconstant coefficients

Authors: Colombo, F. Mantovani, F. Schlosser, P.

Source: Analysis and Mathematical Physics. 14

Subject Terms: Functional calculus for linear operators, Mathematics - Functional Analysis, Quaternionic operator theory, General theory of partial differential operators, Functions of hypercomplex variables and generalized variables, \(S\)-spectrum, boundary value problems, vector operators, FOS: Mathematics, Spectrum, resolvent, \(S\)-resolvent operator, Functional Analysis (math.FA)

File Description: application/xml

Access URL: http://arxiv.org/abs/2404.17911

Polygenic functions of hypercomplex variables

Authors: Ketchum, P. W. Martin, Ted

Source: Bull. Amer. Math. Soc. 38, no. 2 (1932), 66-72

Subject Terms: complex functions

File Description: application/xml; application/pdf

Access URL: https://www.ams.org/bull/1932-38-02/S0002-9904-1932-05329-0/S0002-9904-1932-05329-0.pdf
https://zbmath.org/3004323
https://doi.org/10.1090/s0002-9904-1932-05329-0
https://projecteuclid.org/download/pdf_1/euclid.bams/1183495745
https://www.ams.org/journals/bull/1932-38-02/S0002-9904-1932-05329-0/home.html
https://projecteuclid.org/journals/bulletin-of-the-american-mathematical-society-new-series/volume-38/issue-2/Polygenic-functions-of-hypercomplex-variables/bams/1183495745.full
https://www.ams.org/bull/1932-38-02/S0002-9904-1932-05329-0/S0002-9904-1932-05329-0.pdf
http://projecteuclid.org/euclid.bams/1183495745
http://projecteuclid.org/euclid.bams/1183495745

More About Bicomplex Möbius Transformations: Geometric, Algebraic and Analitical Aspects: More about bicomplex Möbius transformations: geometric, algebraic and analitical aspects

Authors: M. Elena Luna–Elizarrarás Anatoly Golberg

Source: Advances in Applied Clifford Algebras. 34

Subject Terms: Functions of hypercomplex variables and generalized variables, Möbius transformation, bicomplex numbers

File Description: application/xml

Access URL: https://zbmath.org/7877967
https://doi.org/10.1007/s00006-024-01323-0

Slice regular functions in several variables

Authors: Perotti, Alessandro Ghiloni, Riccardo

Source: Mathematische Zeitschrift. 302:295-351

Subject Terms: Slice regular functions, Functions of hypercomplex variables, Cauchy integral formula, Quaternions, Clifford algebras, Octonions, Real alternative algebras, Mathematics - Complex Variables, Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Rings and Algebras, Complex Variables (math.CV), Primary 30G35, Secondary 32A30, 17D05, 0101 mathematics, 01 natural sciences

File Description: application/pdf

Access URL: http://arxiv.org/abs/2007.14925
https://hdl.handle.net/11572/346219
https://doi.org/10.1007/s00209-022-03066-9

Slice-by-slice and global smoothness of slice regular and polyanalytic functions

Authors: Ghiloni, Riccardo

Source: Annali di Matematica Pura ed Applicata (1923 -). 201:2549-2573

Subject Terms: Mathematics - Complex Variables, Rings and Algebras (math.RA), 30G35 (Primary) 32A30, 35B65 (Secondary), Slice regular functions, Global slice polyanalytic functions, Functions of hypercomplex variables, Generalized Cauchy-Riemann equations, Smoothness of solutions to PDEs, FOS: Mathematics, Mathematics - Rings and Algebras, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences

File Description: application/pdf

Access URL: http://arxiv.org/abs/2011.09919

SLICE REGULAR SEMIGROUPS

Authors: GHILONI, RICCARDO RECUPERO, VINCENZO

Source: Transactions of the American Mathematical Society, 2018 Jul 01. 370(7), 4993-5032.

Access URL: https://www.jstor.org/stable/90021165

Discrete pseudo‐differential operators in hypercomplex analysis

Authors: Paula Cerejeiras Uwe Kaehler Simão Lucas

Source: Mathematical Methods in the Applied Sciences. 47:8025-8041

Subject Terms: functions of hypercomplex variables and generalized variables, discrete Dirac operators, discrete symbols, pseudodifferential operators, 0101 mathematics, 01 natural sciences

Access URL: http://hdl.handle.net/10773/43202

Quaternionic inner and outer functions

Authors: Alessandro Monguzzi Giulia Sarfatti Daniel Seco et al.

Contributors: Alessandro Monguzzi Giulia Sarfatti Daniel Seco et al.

Source: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)
e-Archivo: Repositorio Institucional de la Universidad Carlos III de Madrid
instname
Concrete Operators, Vol 6, Iss 1, Pp 44-57 (2019)

Subject Terms: Primary 30G35, Secondary 30H10, 30J05, functions of a quaternionic variable, inner and outer functions, primary 30g35, Matemáticas, Mathematics - Complex Variables, Secondary 30H10, 30J05, 02 engineering and technology, Functions of hypercomplex variables and generalized variables, Hardy spaces, Inner functions, outer functions, 01 natural sciences, QA1-939, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, secondary 30h10, 30j05, Complex Variables (math.CV), 0101 mathematics, Mathematics

File Description: application/pdf

Access URL: https://www.degruyter.com/downloadpdf/journals/conop/6/1/article-p44.pdf
http://arxiv.org/abs/1810.10070
https://hdl.handle.net/10016/32609
https://doaj.org/article/200136290f0f45b4bc5c3ef9c9b90d8d
https://boa.unimib.it/handle/10281/231558
https://flore.unifi.it/handle/2158/1153760

Errata to: The algebra of slice functions

Authors: Ghiloni, Riccardo Perotti, Alessandro Stoppato, Caterina

Source: Transactions of the American Mathematical Society.

Subject Terms: 30G35 Functions of hypercomplex variables and generalized variables, 17D05 Alternative rings, 32A30 Other generalizations of function theory of one complex variable, 30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable, 0101 mathematics, 01 natural sciences

File Description: application/pdf

Access URL: https://hdl.handle.net/2158/1246758
https://doi.org/10.1090/tran/8574

On the generators of Clifford semigroups: Polynomial resolvents and their integral transforms

Authors: Ghiloni, Riccardo Recupero, Vincenzo

Contributors: Ghiloni, Riccardo Recupero, Vincenzo

Subject Terms: Slice regular semigroup, Laplace transform, Functional calculu, Quaternion, Clifford algebra, Functions of hypercomplex variables

File Description: ELETTRONICO

Relation: info:eu-repo/semantics/altIdentifier/wos/WOS:001002596100001; volume:521; issue:1; firstpage:1; lastpage:19; numberofpages:19; journal:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS; https://hdl.handle.net/11583/2973840; https://www.sciencedirect.com/science/article/abs/pii/S0022247X22009192?via=ihub

Availability: https://hdl.handle.net/11583/2973840
https://doi.org/10.1016/j.jmaa.2022.126905
https://www.sciencedirect.com/science/article/abs/pii/S0022247X22009192?via=ihub

Slice-polynomial functions and twistor geometry of ruled surfaces in $$\mathbb {CP}^3$$ CP 3

Authors: Altavilla, A. Sarfatti, G.

Contributors: Altavilla, A. Sarfatti, G.

Source: Mathematische Zeitschrift. 291:1059-1092

Subject Terms: Mathematics - Differential Geometry, Rational and ruled surface, Functions of hypercomplex variables, Rational and ruled surfaces, Slice regular functions, Slice-polynomial functions, Twistor spaces, Twistor spaces, Mathematics - Complex Variables, Slice regular function, 01 natural sciences, Slice-polynomial function, Differential Geometry (math.DG), FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, Primary 53C28, 30G35, secondary 32A30, 14J26, Functions of hypercomplex variable

File Description: application/pdf

Access URL: http://arxiv.org/pdf/1712.09946
http://arxiv.org/abs/1712.09946
https://ui.adsabs.harvard.edu/abs/2017arXiv171209946A/abstract
https://arxiv.org/abs/1712.09946
https://arxiv.org/pdf/1712.09946
https://link.springer.com/article/10.1007/s00209-018-2225-8
https://flore.unifi.it/handle/2158/1147577

Powers of Elliptic Scator Numbers

Authors: Manuel Fernandez-Guasti

Source: Axioms, Vol 10, Iss 250, p 250 (2021)

Subject Terms: functions of hypercomplex variables, algebraic geometry, scator algebra, Mathematics, QA1-939

Relation: https://www.mdpi.com/2075-1680/10/4/250; https://doaj.org/toc/2075-1680; https://doaj.org/article/681922e8f47a4a3c831ee5c8ba274601

Availability: https://doi.org/10.3390/axioms10040250
https://doaj.org/article/681922e8f47a4a3c831ee5c8ba274601

Roots of Elliptic Scator Numbers

Authors: Manuel Fernandez-Guasti

Source: Axioms, Vol 10, Iss 321, p 321 (2021)

Subject Terms: functions of hypercomplex variables, algebraic geometry, scator algebra, Mathematics, QA1-939

Relation: https://www.mdpi.com/2075-1680/10/4/321; https://doaj.org/toc/2075-1680; https://doaj.org/article/98b5b8ad55854f87a76ec7e22aa88f58

Availability: https://doi.org/10.3390/axioms10040321
https://doaj.org/article/98b5b8ad55854f87a76ec7e22aa88f58

Electrostatic Fields in Some Special Inhomogeneous Media and New Generalizations of the Cauchy–Riemann System: Electrostatic fields in some special inhomogeneous media and new generalizations of the Cauchy-Riemann system

Authors: Dmitry Bryukhov

Source: Advances in Applied Clifford Algebras. 31

Subject Terms: Euler-Poisson-Darboux equations, radially holomorphic potential, elliptic Euler-Poisson-Darboux equation in cylindrical coordinates, Maxwell equations, Functions of hypercomplex variables and generalized variables, Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations, Composite media, random media in optics and electromagnetic theory, electric field gradient tensor, 0101 mathematics, harmonic meridional mappings of the second kind, Electro- and magnetostatics, \( \alpha \)-meridional, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/7384727
https://doi.org/10.1007/s00006-021-01163-2
https://link.springer.com/article/10.1007/s00006-021-01163-2
https://link.springer.com/content/pdf/10.1007/s00006-021-01163-2.pdf