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1. Lagrange's theorem for weak functions of several variables

Author

M. D. Quinn

Subjects
General Mathematics, Mathematical analysis, Lagrange's theorem (group theory), symbols.namesake, Constraint algorithm, Arzelà–Ascoli theorem, Several complex variables, symbols, Lagrange inversion theorem, Applied mathematics, Lagrange's four-square theorem, Remainder, Brouwer fixed-point theorem, Mathematics
Abstract

This paper contains a derivation of Lagrange's expansion with remainder for a weak function of several independent variables each satisfying an implicit relation. We also provide necessary and sufficient conditions for the associated infinite series expansion.

Published
1978