Suchergebnisse - "Functions of a hypercomplex variable"

STARLIKENESS FOR FUNCTIONS OF A HYPERCOMPLEX VARIABLE

Autoren: GORI, ANNA VLACCI, FABIO

Quelle: Proceedings of the American Mathematical Society, 2017 Feb 01. 145(2), 791-804.

Zugangs-URL: https://www.jstor.org/stable/procamermathsoci.145.2.791

A unified theory of regular functions of a hypercomplex variable

Autoren: Ghiloni, Riccardo Stoppato, Caterina

Schlagwörter: Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), 30G35 (Primary) 16P10, 17D05 (Secondary)

Zugangs-URL: http://arxiv.org/abs/2408.01523

Starlikeness for functions of a hypercomplex variable

Autoren: Gori, Anna VLACCI, FABIO Vlacci, Fabio

Weitere Verfasser: Gori, Anna VLACCI, FABIO Vlacci, Fabio

Quelle: Proceedings of the American Mathematical Society. 145:791-804

Schlagwörter: Applied Mathematics, Regular functions of one quaternionic variable, univalent functions, starlikeness and starlike or star–shaped function, convexity and convex–function, 0103 physical sciences, Univalent function, Mathematics (all), Starlikeness and starlike or star-shaped function, Convexity and convex-function, 0101 mathematics, regular functions of one quaternionic variable, univalent functions, starlikeness and starlike or star-shaped function, convexity and convex-function, Regular functions of one quaternionic variable, 01 natural sciences, Univalent functions

Dateibeschreibung: STAMPA; application/pdf

Zugangs-URL: https://air.unimi.it/retrieve/handle/2434/465552/758763/Gori-Vlacci-PAMS.pdf
http://hdl.handle.net/11368/2940765
http://www.ams.org/journals/proc/2017-145-02/S0002-9939-2016-13256-5/S0002-9939-2016-13256-5.pdf
https://air.unimi.it/handle/2434/465552
https://www.ams.org/journals/proc/2017-145-02/S0002-9939-2016-13256-5/
https://hdl.handle.net/11368/2940765
https://doi.org/10.1090/proc/13256
http://www.ams.org/journals/proc/2017-145-02/S0002-9939-2016-13256-5/S0002-9939-2016-13256-5.pdf

A Survey on Quasiconformal Functions with Application to the Case of Functions of a Hypercomplex Variable

Autoren: VLACCI, FABIO Autori vari Vlacci, Fabio

Weitere Verfasser: VLACCI, FABIO Autori vari Vlacci, Fabio

Schlagwörter: Quasiconformality

Dateibeschreibung: STAMPA; application/pdf

Zugangs-URL: http://hdl.handle.net/11368/2940769
https://flore.unifi.it/handle/2158/969005
https://arts.units.it/handle/11368/2940769
http://www.ams.org/bookstore/conmseries
https://hdl.handle.net/2158/969005
https://doi.org/10.1090/conm/667/13546

Recent Developments for Regular Functions of a Hypercomplex Variable

Autoren: GENTILI, GRAZIANO STOPPATO, CATERINA Struppa, Daniele C. et al.

Weitere Verfasser: GENTILI, GRAZIANO STOPPATO, CATERINA Struppa, Daniele C. et al.

Quelle: Hypercomplex Analysis ISBN: 9783764398927

Schlagwörter: functions of hypercomplex variables, ∂-type operators, functions of hypercomplex variables — ∂-type operators

Dateibeschreibung: application/pdf

Zugangs-URL: http://web.math.unifi.it/users/stoppato/Website/Publications_files/Survey081006.pdf
http://hdl.handle.net/11368/2940773
http://web.math.unifi.it/users/stoppato/Website/Publications_files/Survey081006.pdf
https://link.springer.com/chapter/10.1007/978-3-7643-9893-4_11
https://rd.springer.com/chapter/10.1007/978-3-7643-9893-4_11
https://link.springer.com/10.1007%2F978-3-7643-9893-4_11
https://hdl.handle.net/11368/2940773
https://doi.org/10.1007/978-3-7643-9893-4_11
http://web.math.unifi.it/users/stoppato/Website/Publications_files/Survey081006.pdf
https://doi.org/10.1007/978-3-7643-9893-4_11
https://hdl.handle.net/2158/336833

Partial slice regularity and Fueter's theorem in several quaternionic variables

Autoren: Binosi Giulio

Quelle: Complex Manifolds, Vol 10, Iss 1, Pp 601-627 (2023)

Schlagwörter: slice-regular functions, functions of a hypercomplex variable, quaternions, clifford algebras, primary 30g35, secondary 30e20, 32a30, Mathematics, QA1-939

Dateibeschreibung: electronic resource

Relation: https://doaj.org/toc/2300-7443

Zugangs-URL: https://doaj.org/article/38c083e841934a38bae866ac28a9befe

A unified notion of regularity in one hypercomplex variable

Autoren: Ghiloni, Riccardo Stoppato, Caterina

Weitere Verfasser: Ghiloni, Riccardo Stoppato, Caterina

Schlagwörter: Functions of a hypercomplex variable, Monogenic and slice-monogenic function, Regular and slice-regular function, Clifford algebras and quaternions

Dateibeschreibung: STAMPA

Relation: info:eu-repo/semantics/altIdentifier/wos/WOS:001243286300001; volume:202; firstpage:10521901; lastpage:10521913; numberofpages:13; journal:JOURNAL OF GEOMETRY AND PHYSICS; https://hdl.handle.net/11572/410434; https://www.sciencedirect.com/science/article/pii/S0393044024001207?via=ihub

Verfügbarkeit: https://hdl.handle.net/11572/410434
https://doi.org/10.1016/j.geomphys.2024.105219
https://www.sciencedirect.com/science/article/pii/S0393044024001207?via=ihub

On some functions of a hypercomplex variable

Autoren: Braier, Alfred

Schlagwörter: Functions of hypercomplex variables and generalized variables, Linear higher-order PDEs

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3517593

Functions of a hypercomplex variable in the \(n\)-dimensional space

Autoren: Roşculeţ, Marcel N.

Schlagwörter: complex functions

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3113003

Division algebras of slice functions

Autoren: Ghiloni, Riccardo Perotti, Alessandro Stoppato, Caterina

Quelle: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 150:2055-2082

Schlagwörter: functions of one hypercomplex variable, division algebras, octonions, Mathematics - Complex Variables, FOS: Mathematics, 30G35 (Primary) 17A35, 30C15, 30C80, 30D30 (Secondary), Complex Variables (math.CV), 0101 mathematics, 16. Peace & justice, 01 natural sciences

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/pdf/1711.06604
http://arxiv.org/abs/1711.06604
https://arxiv.org/pdf/1711.06604
https://arxiv.org/abs/1711.06604
https://flore.unifi.it/handle/2158/1102813
https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/division-algebras-of-slice-functions/C1848A6BCCC35203758A823AD531D556
https://ui.adsabs.harvard.edu/abs/2017arXiv171106604G/abstract
https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/division-algebras-of-slice-functions/C1848A6BCCC35203758A823AD531D556/share/7c7f39c7afd7502e1768a991cdd6708496cd601b
https://hdl.handle.net/2158/1102813
https://doi.org/10.1017/prm.2019.13

Noncommutative Cauchy Integral Formula

Autoren: R. Ghiloni A. Perotti V. Recupero

Quelle: Complex Analysis and Operator Theory. 11:289-306

Schlagwörter: Mathematics - Complex Variables, Cauchy integral formula, Functions of a hypercomplex variable, Quaternions, Octonions, Clifford algebras, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences, Cauchy integral formula, Functions of a hypercomplex variable, Quaternions, Octonions, Clifford algebras, 30C15, 30G35, 32A30, 17D05

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/pdf/1409.8455.pdf
http://arxiv.org/abs/1409.8455
https://iris.polito.it/handle/11583/2630901
https://link.springer.com/article/10.1007/s11785-016-0543-6
http://porto.polito.it/2630901/
https://core.ac.uk/display/25062962
https://link.springer.com/article/10.1007/s11785-016-0543-6/fulltext.html
https://www.arxiv-vanity.com/papers/1409.8455/
http://link.springer.com/article/10.1007/s11785-016-0543-6
https://doi.org/10.1007/s11785-016-0543-6
https://hdl.handle.net/11583/2630901
http://link.springer.com/article/10.1007/s11785-016-0543-6
https://doi.org/10.1007/s11785-016-0543-6
https://hdl.handle.net/11572/97449

Generalized Partial-Slice Monogenic Functions: A Synthesis of Two Function Theories

Autoren: Xu Z. Sabadini I. Xu, Z. et al.

Weitere Verfasser: Xu Z. Sabadini I. Xu, Z. et al.

Schlagwörter: Functions of a hypercomplex variable, Monogenic functions, Slice monogenic functions, Clifford algebras

Relation: info:eu-repo/semantics/altIdentifier/wos/WOS:001177528400001; volume:34; issue:2; firstpage:1; lastpage:14; numberofpages:14; journal:ADVANCES IN APPLIED CLIFFORD ALGEBRAS; https://hdl.handle.net/11311/1278892

Verfügbarkeit: https://hdl.handle.net/11311/1278892
https://doi.org/10.1007/s00006-024-01314-1

A new approach to regularity in one hypercomplex variable

Autoren: Riccardo Ghiloni Caterina Stoppato

Schlagwörter: functions of one hypercomplex variable, regular functions, monogenic functions, slice regular functions, slice monogenic functions

Zugangs-URL: https://www.ams.org/journals/abs/2024-45-01/1192.pdf
https://hdl.handle.net/2158/1403137

Global differential equations for slice regular functions

Autoren: Ghiloni, Riccardo Perotti, Alessandro

Quelle: Mathematische Nachrichten. 287:561-573

Schlagwörter: 0101 mathematics, 01 natural sciences, Functions of a hypercomplex variable

Dateibeschreibung: application/pdf

Zugangs-URL: https://onlinelibrary.wiley.com/doi/full/10.1002/mana.201200318
http://web.math.unifi.it/~stoppato/Website/Meeting%202015_files/FIRB2015_beamer_handout-1.pdf

A new series expansion for slice regular functions

Autoren: STOPPATO, CATERINA

Quelle: Advances in Mathematics. 231:1401-1416

Schlagwörter: 30G35, Mathematics(all), Quaternionic analytic function, Mathematics - Complex Variables, Slice regular function, 0103 physical sciences, FOS: Mathematics, Functions of a hypercomplex variable, Quaternionic series expansion, Mathematics (all), Complex Variables (math.CV), 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/abs/1110.4227
http://ui.adsabs.harvard.edu/abs/2011arXiv1110.4227S/abstract
https://flore.unifi.it/handle/2158/1034115
https://core.ac.uk/display/82168108
https://www.sciencedirect.com/science/article/pii/S0001870812002459
https://arxiv.org/pdf/1110.4227
http://www.sciencedirect.com/science/article/pii/S0001870812002459

Slice regular functions on real alternative algebras

Autoren: Ghiloni, Riccardo Perotti, Alessandro

Quelle: Advances in Mathematics. 226:1662-1691

Schlagwörter: Mathematics(all), Octonions, Mathematics - Complex Variables, Fundamental theorem of algebra, Cauchy integral formula, Mathematics - Rings and Algebras, 01 natural sciences, Functions of a hypercomplex variable, Clifford algebras, Rings and Algebras (math.RA), FOS: Mathematics, Quaternions, Complex Variables (math.CV), 0101 mathematics, 30C15, 30G35, 32A30, 17D05

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/abs/1008.4318
http://eprints.biblio.unitn.it/1952/
https://ui.adsabs.harvard.edu/abs/2010arXiv1008.4318G/abstract
https://arxiv.org/pdf/1008.4318
https://dialnet.unirioja.es/servlet/articulo?codigo=3648700
http://www.science.unitn.it/~perotti/Slice_regular_functions.pdf
http://eprints.biblio.unitn.it/1952/1/AIMarXiv.pdf

The Open Mapping Theorem for Regular Quaternionic Functions

Autoren: GENTILI, GRAZIANO STOPPATO, CATERINA

Quelle: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. :805-815

Schlagwörter: 30G35, Functions of a quaternionic variable, functions of a hypercomplex variable, open mapping theorem, minimum modulus principle, Mathematics - Complex Variables, 0103 physical sciences, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/pdf

Zugangs-URL: https://journals.sns.it/index.php/annaliscienze/article/download/193/186
http://arxiv.org/abs/0802.3861
http://ui.adsabs.harvard.edu/abs/2008arXiv0802.3861G/abstract
https://arxiv.org/abs/0802.3861
https://philpapers.org/rec/GENTOM-2
https://journals.sns.it/index.php/annaliscienze/article/view/193
https://dialnet.unirioja.es/servlet/articulo?codigo=5458128
http://www.numdam.org/item/ASNSP_2009_5_8_4_805_0/
https://www.arxiv-vanity.com/papers/0802.3861/
http://www.numdam.org/item/ASNSP_2009_5_8_4_805_0.pdf
http://annaliscienze.sns.it/index.php?page=Article&id=29
https://doi.org/10.2422/2036-2145.2009.4.07
https://hdl.handle.net/2158/261814

Rigidity for regular functions over Hamilton and Cayley numbers and a boundary Schwarz' Lemma

Autoren: GENTILI, GRAZIANO VLACCI, FABIO Gentili, G. et al.

Weitere Verfasser: GENTILI, GRAZIANO VLACCI, FABIO Gentili, G. et al.

Quelle: Indagationes Mathematicae. 19:535-545

Schlagwörter: Mathematics(all), Schwarz Lemma, Boundary rigidity for regular quaternionic functions, 0103 physical sciences, 0101 mathematics, Functions of a hypercomplex variable, 01 natural sciences

Dateibeschreibung: STAMPA; application/pdf

Zugangs-URL: https://www.sciencedirect.com/science/article/abs/pii/S0019357709000111
https://www.sciencedirect.com/science/article/pii/S0019357709000111
https://dialnet.unirioja.es/servlet/articulo?codigo=3038438
https://arts.units.it/handle/11368/2949736
https://documat.unirioja.es/servlet/articulo?codigo=3038438

Regular Functions of a Quaternionic Variable

Autoren: Graziano Gentili Caterina Stoppato Daniele C. Struppa

Quelle: Springer Monographs in Mathematics ISBN: 9783642338700
Springer Monographs in Mathematics ISBN: 9783031075308

Schlagwörter: Functions of a quaternionic variable, functions of a hypercomplex variable, power series, zeros of polynomials and functions, singularities, integral representations, maximum modulus principle, open mapping theorem, fractional transformations, geometry of the unit ball, Functions of a hypercomplex variable, maximum principle, zeros of polynomials, Schwarz lemma

Dateibeschreibung: application/pdf

Zugangs-URL: https://link.springer.com/book/10.1007/978-3-642-33871-7
https://hdl.handle.net/2158/724939
https://doi.org/10.1007/978-3-642-33871-7

A New Approach to Slice Regularity on Real Algebras

Autoren: Ghiloni, Riccardo Perotti, Alessandro Sommen, F. et al.

Weitere Verfasser: Ghiloni, Riccardo Perotti, Alessandro Sommen, F. et al.

Schlagwörter: Functions of a hypercomplex variable, Quaternions, Octonions,Clifford algebras, Fundamental theorem of algebra

Dateibeschreibung: ELETTRONICO

Relation: info:eu-repo/semantics/altIdentifier/isbn/978-3-0346-0245-7; info:eu-repo/semantics/altIdentifier/wos/WOS:000307314600008; ispartofseries:Trends in Mathematics; ispartofbook:Hypercomplex analysis and applications; firstpage:109; lastpage:123; numberofpages:15; alleditors:Sommen, F.; Sabadini, I.; https://hdl.handle.net/11572/358392

Verfügbarkeit: https://hdl.handle.net/11572/358392
https://doi.org/10.1007/978-3-0346-0246-4