U Laha et al 1986 J. Phys. A: Math. Gen. 19 L473 doi:10.1088/0305-4470/19/9/003
U Laha, C Bhattacharyya and B Talukdar
Show affiliationsTwo first-order differential operators are introduced to generate recursion formulae for hypergeometric functions. These operators, on the one hand, factorise the associated second-order operator and, on the other hand, reproduce the equations resulting from the action of the supersymmetry generators on the positive-energy solution of the Coulomb field. The results for the confluent hypergeometric functions also provide a natural basis for constructing ladder operator recursion relations for the Coulomb Green function with the outgoing wave boundary condition.
33C15 Confluent hypergeometric functions, Whittaker functions, 1F1
47E05 Ordinary differential operators (See also 34Bxx, 34Lxx)
Issue 9 (21 June 1986)
U Laha et al 1986 J. Phys. A: Math. Gen. 19 L473
B D Hall 2006 Metrologia 43 L56
Yanping Cao et al 2008 Nonlinearity 21 879
Theodore Choi et al 2009 New J. Phys. 11 013005
T Hacklander et al 1988 Phys. Med. Biol. 33 53
N Buric et al 1997 J. Phys. A: Math. Gen. 30 L161
Gideon Alexander 2003 Rep. Prog. Phys. 66 481
F Schiller et al 2008 New J. Phys. 10 113017
Peter J Cumpson et al 2004 Meas. Sci. Technol. 15 1337
D A Korotkin 1991 Class. Quantum Grav. 8 L219