Multidimensional extension of Faa di Bruno's formula

DOI10.1016/S0022-247X(86)80009-9zbMath0651.05013MaRDI QIDQ1106224

Henryk Gzyl

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

direct computational argumentmth derivative

Mathematics Subject Classification ID

Umbral calculus (05A40)

Related Items (10)

The Cauchy-Lagrange method for 3D-axisymmetric wall-bounded and potentially singular incompressible Euler flows ⋮ Lagrangian regularity of the electron magnetohydrodynamics flow on a bounded domain ⋮ Regularity of the geodesic flow of the incompressible Euler equations on a manifold ⋮ Refined decay estimate and analyticity of solutions to the linear heat equation in homogeneous Besov spaces ⋮ Velocity averaging for diffusive transport equations with discontinuous flux ⋮ One-scale H-distributions and variants ⋮ Higher-order chain rules for tensor fields, generalized Bell polynomials, and estimates in Orlicz-Sobolev-Slobodeckij and total variation spaces ⋮ Liftings for ultra-modulation spaces, and one-parameter groups of Gevrey-type pseudo-differential operators ⋮ A constructive approach to regularity of Lagrangian trajectories for incompressible Euler flow in a bounded domain ⋮ Faà di Bruno's formula and inversion of power series

Cites Work

• Une nouvelle demonstration combinatoire des formules d'inversion de Lagrange
• The umbral calculus
• The Formula of FAA Di Bruno
• Lagrange inversion in higher dimensions and umbral operators
• Unnamed Item

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