The argument principle for quaternionic slice regular functions

Michigan Mathematical Journal

Volumn 60, Issue 1, 2011, Pages 67-77

  Vlacci, Fabio ^a  

^a UNIVERSITY OF FLORENCE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79953668737     PISSN: 00262285     EISSN: 19452365     Source Type: Journal    
DOI: 10.1307/mmj/1301586304     Document Type: Article

References (14)

1. L. Ahlfors, Complex analysis, McGraw-Hill, New York, 1978.
2. F. Colombo, G. Gentili, I. Sabadini, and D. C. Struppa, An overview of functional calculus in different settings, Hypercomplex analysis, pp. 69-100, Birkhäuser, Basel, 2009.
3. G. Gentili and C. Stoppato, Zeros of regular functions and polynomials of a quaternionic variable, Michigan Math. J. 56(2008), 655-667.
4. The open mapping theorem for quaternionic regular functions, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 8(5) (2009), 805-815.
5. Power series and analyticity over the quaternions, preprint, 2009, arXiv:0902.4679 [math. CV].
6. G. Gentili, C. Stoppato, D. C. Struppa, and F. Vlacci, Recent developments for regular functions of a hypercomplex variable, Hypercomplex analysis, pp. 165-186, Birkhäuser, Basel, 2009.
7. G. Gentili and D. C. Struppa, A new approach to Cullen-regular functions of a quaternionic variable, C. R. Math. Acad. Sci. Paris 342(2006), 741-744. (Pubitemid 44307903)
8. A new theory of regular functions of a quaternionic variable, Adv. Math. 216(2007), 279-301.
9. Regular functions on a Clifford algebra, Complex Var. Elliptic Equ. 53(2008), 475-483.
10. On the multiplicity of zeroes of polynomials with quaternionic coefficients, Milan J. Math. 76(2008), 15-25.
11. -, Regular functions on the space of Cayley numbers, Rocky Mountain J. Math. 40(2010), 225-241.
12. R. M. Range, Holomorphic functions and integral representations in several complex variables, Grad. Texts in Math., 108, Springer-Verlag, New York, 1986.
13. C. Stoppato, Poles of regular quaternionic functions, Complex Var. Elliptic Equ. 54(2009), 1001-1018.
14. I. Vignozzi, Funzioni intere sui quaternioni: Fattorizzazioni degli Zeri [Entire functions over quaterions: Factorizations of zeros], Tesi di Laurea, Università di Firenze, 2008.