# On Densities of the Product, Quotient and Power of Independent Subordinators

Source: [On Densities of the Product, Quotient and Power of Independent Subordinators](<https://www.sota2.com/research/paper/68fa58501e209131ce9ad503>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T15:16:33.306Z

Authors: K. K. Kataria, P. Vellaisamy

Published: 2016-08-22T15:20:38.000Z

## Abstract

We obtain the closed form expressions for the densities of the product, quotient, power and scalar multiple of independent stable subordinators. Similar results for the independent inverse stable subordinators are discussed. This is achieved by expressing the densities of stable and inverse stable subordinators in terms of the Fox's $H$-function.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1608.06564>)

[PDF](<https://arxiv.org/pdf/1608.06564.pdf>)