A q-Generalization of Product Densities and Janossy Functions in Stochastic Point Processes

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dc.creatorParthasarathy, R.
dc.creatorSridhar, R.
dc.date2004-03-30
dc.date.accessioned2026-07-07T04:31:03Z
dc.date.available2026-07-07T04:31:03Z
dc.descriptionA q-generalization of the product densities in stochastic point processes is developed. The properties of these functions are studied and a q-generalization of the usual $C^r_s$ coefficients is obtained. This for fixed q-number of particles coincides with the q-Stirling numbers of the second kind. The q-product densities are investigated using q-Poisson distribution and this shows that the stochastic point processes involving consistent q-generalization are inherently correlated. A closely related function to q-product densities is a q-generalized Janossy function and a relation between the two is established.
dc.descriptionLatex
dc.identifierhttps://arxiv.org/abs/math-ph/0403059
dc.identifierhttp://arxiv.org/abs/math-ph/0403059
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57684
dc.subjectMathematical Physics
dc.titleA q-Generalization of Product Densities and Janossy Functions in Stochastic Point Processes
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