Some Identities on Degenerate Bernstein and Degenerate Euler Polynomials
Mathematics, 2019 In recent years, intensive studies on degenerate versions of various special numbers and polynomials have been done by means of generating functions, combinatorial methods, umbral calculus, p-adic analysis and differential equations.
Taekyun Kim, Dae San Kim
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Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials
Journal of Inequalities and Applications, 2019 In this paper, we investigate some properties and identities for degenerate Euler polynomials in connection with degenerate Bernstein polynomials by means of fermionic p-adic integrals on Zp $\mathbb{Z}_{p}$ and generating functions.
Won Joo Kim +3 more
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Symmetries of the Simply-Laced Quantum Connections and Quantisation of Quiver Varieties [PDF]
, 2020 We will exhibit a group of symmetries of the simply-laced quantum connections, generalising the quantum/Howe duality relating KZ and the Casimir connection.
Rembado, Gabriele
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Bernstein-Gelfand-Gelfand resolutions for basic classical Lie superalgebras [PDF]
, 2013 We study Kostant cohomology and Bernstein-Gelfand-Gelfand resolutions for finite dimensional representations of basic classical Lie superalgebras and reductive Lie superalgebras based on them.
Coulembier, Kevin
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Spectral approximations of strongly degenerate elliptic differential operators
Karpatsʹkì Matematičnì Publìkacìï, 2019 We establish analytical estimates of spectral approximations errors for strongly degenerate elliptic differential operators in the Lebesgue space $L_q(\Omega)$ on a bounded domain $\Omega$.
M.I. Dmytryshyn, O.V. Lopushansky
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On `maximal' poles of zeta functions, roots of b-functions and monodromy Jordan blocks [PDF]
, 2008 The main objects of study in this paper are the poles of several local zeta functions: the Igusa, topological and motivic zeta function associated to a polynomial or (germ of) holomorphic function in n variables.
A. Melle-Hernández +21 more
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Curved Casimir Operators and the BGG Machinery [PDF]
, 2007 We prove that the Casimir operator acting on sections of a homogeneous vector bundle over a generalized flag manifold naturally extends to an invariant differential operator on arbitrary parabolic geometries.
Cap, Andreas, Soucek, Vladimir
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Demazure descent and representations of reductive groups [PDF]
, 2014 We introduce the notion of Demazure descent data on a triangulated category C and define the descent category for such data. We illustrate the definition by our basic example. Let G be a reductive algebraic group with a Borel subgroup B.
Arkhipov, Sergey, Kanstrup, Tina
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Metric projective geometry, BGG detour complexes and partially massless gauge theories [PDF]
, 2014 A projective geometry is an equivalence class of torsion free connections sharing the same unparametrised geodesics; this is a basic structure for understanding physical systems.
Gover, A. R., Latini, E., Waldron, A.
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Invariant Functionals on the Speh representation [PDF]
, 2015 We study Sp(2n,R)-invariant functionals on the spaces of smooth vectors in Speh representations of GL(2n,R). For even n we give expressions for such invariant functionals using an explicit realization of the space of smooth vectors in the Speh ...
Gourevitch, Dmitry +2 more
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