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math.QA2001
Generalized Hermite polynomials
Vadim V. Borzov
The new method for obtaining a variety of extensions of Hermite polynomials is given. As a first example a family of orthogonal polynomial systems which includes the generalized He…
math.QA2001
Realization of the annihilation operator for generalized oscillator-like system by a differential operator
Vadim V. Borzov, Eugene V. Damaskinsky
This work continues the research of generalized Heisenberg algebras connected with several orthogonal polynomial systems. The realization of the annihilation operator of the algebr…