References
- Bock S, Gürlebeck K. On a generalized Appell system and monogenic power series. Math Methods Appl Sci. 2010;33:394–411.
- Bock S. On a three dimensional analogue to the holomorphic z-powers: power series and recurrence formulae. Complex Var Elliptic Equ. 2012;57(12):1349–1370. doi: 10.1080/17476933.2010.551198
- Bock S. On a three dimensional analogue to the holomorphic z-powers: Laurent series expansions. Complex Var Elliptic Equ. 2012;57(12):1271–1287. doi: 10.1080/17476933.2010.534792
- Bock S. On orthogonal series expansions in dimensions 2, 3 and 4. Proceedings of the 9th International Conference on Clifford Algebras and their Applications in Mathematical Physics (ICCA9). Weimar: 2011.
- Bock S. On a hypercomplex version of the Kelvin solution in linear elasticity. In: Drygás P, Rogosin S, editors. Modern problems in applied analysis. Basel: Birkhäuser; 2018. (Trends in mathematics).
- Bock S. On a class of monogenic functions with (logarithmic) line singularities. Adv Appl Clifford Algebras. 2018;28:6. doi: 10.1007/s00006-018-0823-5
- Bock S. Special classes of monogenic functions in H. Adv Appl Clifford Algebras. 2018;28:56. doi: 10.1007/s00006-018-0874-7
- Fueter R. Analytische Funktionen einer Quaternionen-Variablen. Comm Math Helv. 1931;4:9–20. doi: 10.1007/BF01202702
- Brackx FF. The exponential function of a quaternion variable. Appl Anal. 1979;8:265–276. doi: 10.1080/00036817908839234
- Gürlebeck K, Habetha K, Sprößig W. Holomorphic functions in the plane and n-dimensional space. Birkhäuser; 2008.
- Gürlebeck K, Malonek HR. A hypercomplex derivative of monogenic functions in Rn+1 and its applications. Complex Var. 1999;39:199–228.
- Falcão MI, Cruz J, Malonek HR. Remarks on the generation of monogenic functions. Proceedings of the IKM2006. Weimar: 2006.
- Malonek HR, Falcao MI. Generalized exponentials through Appell sets in Rn+1 and Bessel functions. AIP Conf Proc. 2007;936:738. doi: 10.1063/1.2790257
- Gürlebeck N. On Appell sets and the Fueter-Sce mapping. Adv Appl Clifford Algebras. 2009;19:51. doi: 10.1007/s00006-008-0126-3
- Brackx F, Delanghe R, Sommen F. Clifford analysis. London: Pitman; 1982. (Pitman research notes math. ser.; 76).
- Bock S. On monogenic series expansions with applications to linear elasticity. Adv. Appl. Clifford Algebras. 2014;24(4):931–943. doi: 10.1007/s00006-014-0490-0
- Malonek H. A new hypercomplex structure of the euclidean space Rm+1 and the concept of hypercomplex differentiability. Complex Var Theory Appl. 1990;14(1–4):25–33.
- Luna-Elizarrarás ME, Shapiro M. A survey on the (hyper-) derivates in complex, quaternionic and Clifford analysis. Millan J Math. 2011;79:521–542. doi: 10.1007/s00032-011-0169-0
- Watson GN. A treatise on the theory of Bessel functions. 2nd ed. London: Cambridge University Press; 1966. (reprint).
- Abramowitz I, Stegun A, editors. Handbook of mathematical functions with formulas, graphs, and mathematical tables. 9th Reprinted edition. Washington (DC): National Bureau of Standards; 1964; New York: Dover Publications; 1972. (Applied mathematics series; 55).
- Andrews LC. Special functions of mathematics for engineers. Bellingham: SPIE Optical Engineering Press; 1998.
- Sansone G. Orthogonal functions. New York: Interscience Publishers; 1959. (Pure and applied mathematics; vol. IX).