Quaternionic Analyticity

Applied Mathematics Letters

Volumn 16, Issue 7, 2003, Pages 1077-1081

  De Leo, S ^a   Rotelli, P P ^b  

^a UNIVERSITY OF CAMPINAS   (Brazil)

^b INFN SEZIONE DI LECCE   (Italy)

Author keywords

Analytic functions; Differential operators; Quaternions

Indexed keywords

POLYNOMIALS; THEOREM PROVING;

QUATERNIONIC ANALYTICITY;

FUNCTIONS;

EID: 0242301737     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(03)90097-8     Document Type: Article

References (9)

1. W.R. Hamilton, Elements of Quaternions, Chelsea Publishing, New York, (1969).
2. R. Fueter, Die Funktionentheorie der Differentialgleichungen Δu = 0 und ΔΔu = 0 mit vier Variablen, Comment. Math. Helv. 7, 307-330, (1935); ibidem 8, 371, (1936).
3. R. Fueter, Die Funktionentheorie der Differentialgleichungen Δu = 0 und ΔΔu = 0 mit vier Variablen, Comment. Math. Helv. 7, 307-330, (1935); ibidem 8, 371, (1936).
4. H. Haefeli, Hyperkomplexe differentiale, Comment. Math. Helv. 20, 382-420, (1947).
5. C.A. Deavours, The quaternion calculus, Amer. Math. Monthly 80, 995-1008, (1973).
6. M. Evans, F. Gürsey and V. Ogievetsky, From two-dimensional conformal to four-dimensional self-dual theories: Quaternionic analyticity, Phys. Rev. D 47, 3496-3508, (1993).
7. S. De Leo, Quaternions and special relativity, J. Math. Phys. 37, 2955-2968, (1996).
8. S. De Leo and G. Scolarici, Right eigenvalue equation in quaternionic quantum mechanics, J. Phys. A 33, 2971-2995, (2000).
9. S. De Leo and G. Ducati, Quaternionic differential operators, J. Math. Phys. 42, 2236-2265, (2001).