Generalized Humbert polynomials and second-order partial differential operators

DOI10.1016/J.BULSCI.2009.03.002zbMath1182.33020OpenAlexW2077233797MaRDI QIDQ1041173

Abdlilah Bouali

Publication date: 1 December 2009

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2009.03.002

zbMATH Keywords

Calogero-Sutherland modelFaber polynomialsHumbert polynomials

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Geometric theory, characteristics, transformations in context of PDEs (35A30) Spherical harmonics (33C55)

Related Items (1)

Construction of general forms of ordinary generating functions for more families of numbers and multiple variables polynomials

Cites Work

• An algebra of diffential operators and generating functions on the set of univalent functions
• On the action of Virasoro algebra on the space of univalent functions
• Faber polynomials, Cayley--Hamilton equation and Newton symmetric functions
• Differential calculus on the Faber polynomials
• Inverse series relations and other expansions involving Humbert polynomials
• Faber polynomials in the theory of univalent functions
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