Architectonics of Alain Lascoux's preferred formulas. (Architectonique des formules préférées d'Alain Lascoux.)
Pragacz, Piotr (2004)
Séminaire Lotharingien de Combinatoire [electronic only]
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Displaying similar documents to “Schur and Schubert polynomials as Thom polynomials-cohomology of moduli spaces”
Architectonics of Alain Lascoux's preferred formulas. (Architectonique des formules préférées d'Alain Lascoux.)
Double Schubert polynomials and degeneracy loci for the classical groups
Andrew Kresch, Harry Tamvakis (2002)
Annales de l’institut Fourier
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We propose a theory of double Schubert polynomials for the Lie types , , which naturally extends the family of Lascoux and Schützenberger in type . These polynomials satisfy positivity, orthogonality and stability properties, and represent the classes of Schubert varieties and degeneracy loci of vector bundles. When is a maximal Grassmannian element of the Weyl group, can be expressed in terms of Schur-type determinants and Pfaffians, in analogy with the type formula of...
Pieri's formula for flag manifolds and Schubert polynomials
Frank Sottile (1996)
Annales de l'institut Fourier
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We establish the formula for multiplication by the class of a special Schubert variety in the integral cohomology ring of the flag manifold. This formula also describes the multiplication of a Schubert polynomial by either an elementary or a complete symmetric polynomial. Thus, we generalize the classical Pieri’s formula for Schur polynomials (associated to Grassmann varieties) to Schubert polynomials (associated to flag manifolds). Our primary technique is an explicit geometric description...
Some properties of a class of polynomials.
Djordjević, Gospava B. (1997)
Matematichki Vesnik
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A unified class of polynomials.
Agrawal, Hukum Chand (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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Determinantal expression and recursion for Jack polynomials.
Lapointe, Luc, Lascoux, A., Morse, J. (2000)
The Electronic Journal of Combinatorics [electronic only]
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Recurrence relation for a class of polynomials associated with the generalized Hermite polynomials.
Milovanović, Gradimir V. (1993)
Publications de l'Institut Mathématique. Nouvelle Série
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An estimate for coefficients of polynomials in norm. II.
Milovanović, G.V., Rančić, L.Z. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
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Proof of the refined alternating sign matrix conjecture.
Zeilberger, Doron (1996)
The New York Journal of Mathematics [electronic only]
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On certain generalized q-Appell polynomial expansions
Thomas Ernst (2014)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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We study q-analogues of three Appell polynomials, the H-polynomials, the Apostol–Bernoulli and Apostol–Euler polynomials, whereby two new q-difference operators and the NOVA q-addition play key roles. The definitions of the new polynomials are by the generating function; like in our book, two forms, NWA and JHC are always given together with tables, symmetry relations and recurrence formulas. It is shown that the complementary argument theorems can be extended to the new polynomials...
On certain generalized q-Appell polynomial expansions
Thomas Ernst (2015)
Annales UMCS, Mathematica
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We study q-analogues of three Appell polynomials, the H-polynomials, the Apostol-Bernoulli and Apostol-Euler polynomials, whereby two new q-difference operators and the NOVA q-addition play key roles. The definitions of the new polynomials are by the generating function; like in our book, two forms, NWA and JHC are always given together with tables, symmetry relations and recurrence formulas. It is shown that the complementary argument theorems can be extended to the new polynomials...
Connections between Romanovski and other polynomials
Hans Weber (2007)
Open Mathematics
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A connection between Romanovski polynomials and those polynomials that solve the one-dimensional Schrödinger equation with the trigonometric Rosen-Morse and hyperbolic Scarf potential is established. The map is constructed by reworking the Rodrigues formula in an elementary and natural way. The generating function is summed in closed form from which recursion relations and addition theorems follow. Relations to some classical polynomials are also given.