# Correlation between Adomian and Partial Exponential Bell Polynomials

Source: [Correlation between Adomian and Partial Exponential Bell Polynomials](<https://www.sota2.com/research/paper/68fa58501e209131ce9ad504>)

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

Data updated: 2025-10-28T13:55:58.255Z

Authors: K. K. Kataria, P. Vellaisamy

Published: 2016-08-22T16:00:29.000Z

## Abstract

We obtain some recurrence relationships among the partition vectors of the partial exponential Bell polynomials. On using such results, the $n$-th Adomian polynomial for any nonlinear operator can be expressed explicitly in terms of the partial exponential Bell polynomials. Some new identities for the partial exponential Bell polynomials are obtained by solving certain ordinary differential equations using Adomian decomposition method.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1608.06880>)

[PDF](<https://arxiv.org/pdf/1608.06880.pdf>)