Tag Archives: Lie infinitesimal generators

In the Flow

Posted on March 22, 2022 by Tom Copeland

This is a set of rough, incomplete notes formatted in July/August of 2021 that I have intended to recheck, refine, reorganize, and extend for some time now but simply haven’t found the time to do so although some parts are … Continue reading →

Posted in Math | Tagged Abel and Schröder equations, Complex dynamics, Compositional inversion, Fixed point equations, Flow fields and equations, Functional compositional iteration, Hamiltonian, Lagrangian, Lie infinitesimal generators, Maupertuis action principle, Nonlinear differential equations, Renormalization group flow, Zeros of functions | Leave a comment

Road map to OEIS sequences related to symmetric functions / polynomials and basic analysis

Posted on June 4, 2021 by Tom Copeland

A short list of OEIS sequences related to polytopes, multiplicative and compositional inversion of power series, composition, and transformations among symmetric functions. The arrows indicate refinement of a sequence. The multiplicative and compositional inversions are graded, so can, for example, be … Continue reading →

Posted in Math | Tagged Associahedra, Bell, Bell polynomials, Catalan, Chebyshev Hermite polynomials, Classical cumulants and moments, complete homogeneous symmetric polynomials, Composition, Compositional inversion, Cycle index polynomials of the symmetric groups, Differential operators, double factorial, Elementary Schur polynomials, elementary symmetric polynomials, Eulerian numbers, Exponential generating functions, Faa di Bruno partition polynomials, Faber partition polynomials, face numbers, free cumulants and moments, Lah, Lah polynomials, Laurent serie, Laurent series, Lie infinitesimal generators, Logarithmic polynomials, Matrix representation of derivative operators, Moebius transformation, multiplicative inversion, Narayana numbers, Newton identities, normal ordering, OEIS, Ordinary generating functions, Pascal triangle, Perfect matchings, Permutohedra, Pontryagin partition polynomials, Power series, power sum polynomials, Reciprocal, Refined Euler characteristic polynomial, Refined Eulerian numbers, refined Lah polynomials, Schroeder numbers, Schur self-convolution expansion coefficients, Simplices, Stirling numbers of the first kind, Stirling numbers of the second kind, symmetric functions, Ward polynomials, Witt algebra | 4 Comments

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Tag Archives: Lie infinitesimal generators

In the Flow

Road map to OEIS sequences related to symmetric functions / polynomials and basic analysis

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