An index 2F2 hypergeometric transform
Zouhair Mouayn
TL;DR
This paper introduces a new family of index hypergeometric transforms linked to the relativistic pseudoharmonic oscillator, developed through coherent states analysis, expanding mathematical tools for quantum physics applications.
Contribution
It presents a novel one-parameter family of hypergeometric transforms connected to a relativistic quantum oscillator, using a unique coherent states approach.
Findings
New hypergeometric transform family introduced
Transform related to relativistic pseudoharmonic oscillator
Potential applications in quantum physics and mathematical analysis
Abstract
We construct a new one-parameter family of index hypergeometric transforms associated with the relativistic pseudoharmonic oscillator by using coherent states analysis.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Nonlinear Waves and Solitons · Mathematical functions and polynomials