Correlation between Adomian and partial exponential Bell polynomials

DOI10.1016/j.crma.2017.08.002zbMath1400.33033arXiv1608.06880OpenAlexW2751130547WikidataQ115578012 ScholiaQ115578012MaRDI QIDQ2408527

K. K. Kataria, Palaniappan Vellaisamy

Publication date: 12 October 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.06880

zbMATH Keywords

partition vectorspartial exponential Bell polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Other functions coming from differential, difference and integral equations (33E30)

Related Items (6)

Some properties of degenerate complete and partial Bell polynomials ⋮ A probabilistic interpretation of the Bell polynomials ⋮ Convoluted Fractional Poisson Process ⋮ Probabilistic interpretations of nonclassic Adomian polynomials ⋮ Adomian Decomposition Method and Fractional Poisson Processes: A Survey ⋮ Special values of the Bell polynomials of the second kind for some sequences and functions

Cites Work

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• Nonlinear equations with mixed derivatives
• Exponential polynomials
• Practical formulae for the calculus of multivariable Adomian polynomials
• A new algorithm for calculating Adomian polynomials
• Simple parametrization methods for generating Adomian polynomials

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