1 University Politehnica Timisoara, Department of Physical Foundations of Engineering, Bd. V. Parvan No.2, 300223 Timisoara, Romania 2 Member of Serbian Academy of Nonlinear Sciences (SANS), Belgrade, Serbia
The present paper starts from a previously deduced result, in which the \nu-function plays the role of the normalization function of generalized hypergeometric coherent states for quantum systems with a continuous spectrum. We have generalized this idea, obtaining a new function – the generalized \nu-function. By defining a discrete-continuous limit, we revealed a series of interesting properties that, in the last instance, allow the formulation and solution of new integrals involving the generalized \nu-functions which depend on both scalar arguments as well as those containing creation and annihilation operators, which generate the generalized hypergeometric coherent states. To our knowledge, the results obtained by us do not appear in the literature.
Popov,D. (2025). Some new considerations about the \nu-function. Transactions in Theoretical and Mathematical Physics, 2(4), 178-192. doi: 10.30511/ttmp.2025.2067155.1061
MLA
Popov,D. . "Some new considerations about the \nu-function", Transactions in Theoretical and Mathematical Physics, 2, 4, 2025, 178-192. doi: 10.30511/ttmp.2025.2067155.1061
HARVARD
Popov D. (2025). 'Some new considerations about the \nu-function', Transactions in Theoretical and Mathematical Physics, 2(4), pp. 178-192. doi: 10.30511/ttmp.2025.2067155.1061
CHICAGO
D. Popov, "Some new considerations about the \nu-function," Transactions in Theoretical and Mathematical Physics, 2 4 (2025): 178-192, doi: 10.30511/ttmp.2025.2067155.1061
VANCOUVER
Popov D. Some new considerations about the \nu-function. TTMP, 2025; 2(4): 178-192. doi: 10.30511/ttmp.2025.2067155.1061
