IRREDUCIBLE REPRESENTATIONS OF DEFORMED OSCILLATOR ALGEBRA AND q-SPECIAL FUNCTIONS

@inproceedings{Damaskinsky1996IRREDUCIBLERO,
  title={IRREDUCIBLE REPRESENTATIONS OF DEFORMED OSCILLATOR ALGEBRA AND q-SPECIAL FUNCTIONS},
  author={E. V. Damaskinsky},
  year={1996}
}
Different generators of a deformed oscillator algebra give rise to one-parameter families of q-exponential functions and q-Hermite polyno-mials related by generating functions. Connections of the Stieltjes and Hamburger classical moment problems with the corresponding resolution of unity for the q-coherent states and with 'coordinate' operators-Jacobi… CONTINUE READING