13 citations · 19 across the 9 of their papers we have counts for
10 papers
Fractional Generalizations of the Compound Poisson Process
Neha Gupta, Aditya Maheshwari
This paper introduces the Generalized Fractional Compound Poisson Process (GFCPP), which claims to be a unified fractional version of the compound Poisson process (CPP) that encomp…
Berkovich-Uncu type Partition Inequalities Concerning Impermissible Sets and Perfect Power Frequencies
Damanvir Singh Binner, Neha Gupta, Manoj Upreti
Recently, Rattan and the first author (Ann. Comb. 25 (2021) 697-728) proved a conjectured inequality of Berkovich and Uncu (Ann. Comb. 23 (2019) 263-284) concerning partitions with…
Densities of Inverse Tempered Stable Subordinators and Related Processes With Mellin Transforrm
Neha Gupta, Arun Kumar
In this article, the infinite series form of the probability densities of tempered stable and inverse tempered stable subordinators are obtained using Mellin transform. Further, th…
Fractional Poisson Processes of Order k and Beyond
Neha Gupta, Arun Kumar
In this article, we introduce fractional Poisson felds of order k in n-dimensional Euclidean space . We also work on time-fractional Poisson process of order k, space-fracti…
Skellam Type Processes of Order K and Beyond
Neha Gupta, Arun Kumar, Nikolai Leonenko
In this article, we introduce Skellam process of order k and its running average. We also discuss the time-changed Skellam process of order k. In particular we discuss space-fracti…
On Extending the Applicability of two-Step Secant Method for non-differentiable operators
Neha Gupta, J. P. Jaiswal
The semi-local convergence analysis of a well defined and efficient two-step Secant method in Banach spaces is presented in this study. The recurrence relation technique is used un…
Mixtures of Tempered Stable Subordinators
Neha Gupta, Arun Kumar, Nikolai Leonenko
In this article, we introduce mixtures of tempered stable subordinators (TSS). These mixtures define a class of subordinators which generalize tempered stable subordinators. The ma…
Tempered Fractional Poisson Processes and Fractional Equations with Z-Transform
Neha Gupta, Arun Kumar, Nikolai Leonenko
In this article, we derive the state probabilities of different type of space- and time-fractional Poisson processes using z-transform. We work on tempered versions of time-fractio…
Induced monoidal structure from the functor
Neha Gupta, Pradip Kumar
Let be a subcategory of a given category . Let has monoidal structure. In this article, we discuss when can one extend the monoidal structu…
The primitivity index function for a free group, and untangling closed curves on hyperbolic surfaces. With an appendix by Khalid Bou-Rabee
Neha Gupta, Ilya Kapovich
Motivated by the results of Scott and Patel about "untangling" closed geodesics in finite covers of hyperbolic surfaces, we introduce and study primitivity, simplicity and non-fill…