Associated special functions and coherent states

Details Associated special functions and coherent states Associated special functions and coherent states

2005-10-30

arxiv.org/abs/math-ph/0510094v4

WSEAS Transactions on Mathematics, Issue 1, Volume 5, January 2006, pp. 196-203

Physics

Mathematical Physics

Error corrected (section 5.2, page 7). More details are available at http://fpcm5.fizica.unibuc.ro/~ncotfas

Scientific paper

A hypergeometric type equation satisfying certain conditions defines either a
finite or an infinite system of orthogonal polynomials. We present in a unified
and explicit way all these systems of orthogonal polynomials, the associated
special functions and some systems of coherent states. This general formalism
allows us to extend some results known only in particular cases.

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