Relativistic Kramers-Pasternack Recurrence Relations

Recently we have evaluated the matrix elements $<Or^{p}>$,$where$O$$={1,β, i\mathbf{αn}β} $are the standard Dirac matrix operators and the angular brackets denote the quantum-mechanical average for the relativistic Coulomb problem, in terms of generalized hypergeometric functions$_{3}F_{2}(1) $ for all suitable powers and established two sets of Pasternack-type matrix identities for these integrals. The corresponding Kramers--Pasternack three-term vector recurrence relations are derived here.

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