Several Asymptotic Products of Particular Distributions
Journal of Advances in Mathematics and Computer Science · pp. 291–303 · Published 29 Apr 2013
10.9734/BJMCS/2013/2721Abstract
The problem of defining products of distributions is a difficult and not completely understood problem, studied from several points of views since Schwartz established the theory of distributions around 1950. Many fields, such as wave propagation or quantum mechanics, require such multiplications. The product of an infinitely differentiable function (x) and distribution 4(x) inRn is well defined by since Using an induction, we derive an interesting formula for and hence we are able to write out an explicit expression of the product In particular, we imply the product with a few applications in further simplifying existing distributional products. Furthermore, we obtain an asymptotic expression for which isequivalent to the well-known Pizzetti’s formula. Several asymptotic products including as wellasthemore generalized are calculated and presented as infinitely series.
Cited by 2
Chenkuan Li · Fractional Calculus and Applied Analysis · 2021
Showing 1 of 2 known citations — external sources report more than can currently be individually listed.
Related research
- A Review of Nosocomial Infections in Sub-Saharan Africa — shares topic coverage
- Genetic Diversity and Distribution of Cassava Brown Streak Virus and Ugandan Cassava Brown Streak Virus in Major Cassava-growing Regions in Kenya — shares topic coverage
- Microbiological Efficacy of Hessian Bag on Leafy Vegetables during Distribution in (Aguleri) Anambra State — shares topic coverage
- Histopathologic Patterns of Adipocytic Tumours in University of Benin Teaching Hospital; A Twenty Year Retrospective Study — shares topic coverage
- Distribution of two Pomacea spp. in Rice Fields of Peninsular Malaysia — shares topic coverage
Article metrics
Real usage data collected on this platform.
26
Page views
0
PDF downloads
10
Outbound clicks
2
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.