Transactions in Theoretical and Mathematical Physics

Transactions in Theoretical and Mathematical Physics

Some new considerations about the \nu-function

Document Type : Original Article

Author
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
Abstract
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.
Keywords
Subjects

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Volume 2, Issue 4
Autumn 2025
Pages 178-192

  • Receive Date 27 July 2025
  • Accept Date 26 November 2025
  • First Publish Date 26 November 2025
  • Publish Date 01 November 2025