Results 41 to 50 of about 427 (182)
The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We construct special solutions to the rational quantum Knizhnik-Zamolodchikov equation associated with the Lie algebra gl_N. The main ingredient is a special class of the shifted non-symmetric Jack polynomials.
Saburo Kakei +3 more
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Biotechnology Progress, EarlyView.Abstract Maintaining consistent quality in the manufacturing of biotherapeutic proteins in mammalian cell culture is challenging, with unplanned deviations causing inconsistencies and potential batch failure. Current methods for monitoring and controlling critical process parameters (CPPs) rely on slow, labor‐intensive offline analyses.
Matthew Banner +12 more
wiley +1 more source
Biotechnology Progress, EarlyView.Abstract Traditional off‐line analysis methods to quantify residual metabolite concentrations in a drug substance fermentation process consume valuable time, require costly resources, and demand potentially hazardous manual operations when working with pathogenic biological organisms.
Griffin P. Thomas +7 more
wiley +1 more source
A formula for Jack polynomials of the second order [PDF]
Applicationes Mathematicae, 2007 Summary: This work solves the partial differential equation for Jack polynomials \(C_{\kappa}^{\alpha}\) of the second order. When the parameter \(\alpha\) of the solution takes the values \(1/2\), \(1\) and~\(2\) we get explicit formulas for the quaternionic, complex and real zonal polynomials of the second order, respectively.
Caro-Lopera, Francisco J. +2 more
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Clinical Anatomy, EarlyView.ABSTRACT Understanding how pancreas size and shape change with normal aging is critical for establishing a baseline to detect deviations in type 2 diabetes and other pancreatic disease. We measure pancreas size and shape using morphological measurements from early development through aging (ages 0–90).
Lucas W. Remedios +13 more
wiley +1 more source
On Kerov polynomials for Jack characters
, 2012 We consider a deformation of Kerov character polynomials, linked to Jack symmetric functions. It has been introduced recently by M. Lassalle, who formulated several conjectures on these objects, suggesting some underlying combinatorics. We give a partial result in this direction, showing that some quantities are polynomials in the Jack parameter $α ...
Dołęga, Maciej, Féray, Valentin
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Nonsymmetric Jack polynomials and integral kernels
Duke Mathematical Journal, 1998 LaTeX 2.09, 33 ...
Baker, T. H., Forrester, P. J.
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Biorthogonal Expansion of Non-Symmetric Jack Functions
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We find a biorthogonal expansion of the Cayley transform of the non-symmetric Jack functions in terms of the non-symmetric Jack polynomials, the coefficients being Meixner-Pollaczek type polynomials.
Siddhartha Sahi, Genkai Zhang
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Stable Cuts, NAC‐Colourings and Flexible Realisations of Graphs
Journal of Graph Theory, EarlyView.ABSTRACT A (2‐dimensional) realisation of a graph G $G$ is a pair ( G , p ) $(G,p)$, where p $p$ maps the vertices of G $G$ to R 2 ${{\mathbb{R}}}^{2}$. A realisation is flexible if it can be continuously deformed while keeping the edge lengths fixed, and rigid otherwise.
Katie Clinch +5 more
wiley +1 more source
An Analytic Formula for the A_2 Jack Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2007 In this letter I shall review my joint results with Vadim Kuznetsov and Evgeny Sklyanin [Indag. Math. 14 (2003), 451-482] on separation of variables (SoV) for the $A_n$ Jack polynomials.
Vladimir V. Mangazeev
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