Results 1 to 10 of about 162 (37)
Independence polynomials and hypergeometric series
Bulletin of the London Mathematical Society, Volume 53, Issue 6, Page 1834-1848, December 2021., 2021 Abstract Let Γ be a simple graph and IΓ(x) its multivariate independence polynomial. The main result of this paper is the characterization of chordal graphs as the only Γ for which the power series expansion of IΓ−1(x) is Horn hypergeometric.
Danylo Radchenko +1 more
wiley +1 more source
K-Bessel functions associated to 3-rank Jordan algebra [PDF]
, 2005 Using Bessel-Muirhead system, we can express the K-bessel function defined on a Jordan algebra as linear combination of the J-solutions. We determine explicitly the coefficients when the rank of this Jordan algebra is three after a reduction to the rank ...
Dib, Hacen
core +5 more sources
An ultradiscrete matrix version of the fourth Painleve equation [PDF]
, 2006 We establish a matrix generalization of the ultradiscrete fourth Painlev\'e equation (ud-PIV). Well-defined multicomponent systems that permit ultradiscretization are obtained using an approach that relies on a group defined by constraints imposed by the
Field, Chris M., Ormerod, Chris M.
core +4 more sources
Systems of parameters and holonomicity of A-hypergeometric systems [PDF]
, 2013 The main result is an elementary proof of holonomicity for A-hypergeometric systems, with no requirements on the behavior of their singularities, originally due to Adolphson [Ado94] after the regular singular case by Gelfand and Gelfand [GG86].
Berkesch, Christine +2 more
core +1 more source
A (p,q)-extension of Srivastava's triple hypergeometric function HB and its properties [PDF]
, 2019 In this paper, we obtain a (p,q)-extension of Srivastava's triple hypergeometric function HB(⋅), by using the extended Beta function Bp,q(x,y) introduced by Choi et al. (2014).
Dar, S. A., Paris, R. B.
core +1 more source
Multispecies Weighted Hurwitz Numbers [PDF]
, 2015 The construction of hypergeometric $2D$ Toda $\tau$-functions as generating functions for weighted Hurwitz numbers is extended to multispecies families.
Harnad, J.
core +1 more source
Exponentially small expansions of the Wright function on the Stokes lines [PDF]
, 2014 We investigate a particular aspect of the asymptotic expansion of the Wright function pΨq(z) for large |z|. In the case p = 1, q ⩾ 0, we establish the form of the exponentially small expansion of this function on certain rays in the z-plane (known as ...
Paris, Richard B.
core +3 more sources
Characteristic cycles and Gevrey series solutions of $A$-hypergeometric systems [PDF]
, 2019 We compute the $L$-characteristic cycle of an $A$-hypergeometric system and higher Euler-Koszul homology modules of the toric ring. We also prove upper semicontinuity results about the multiplicities in these cycles and apply our results to analyze the ...
Berkesch, Christine +1 more
core +2 more sources
Asymptotic and structural properties of special cases of the Wright function arising in probability theory [PDF]
, 2015 This analysis paper presents previously unknown properties of some special cases of the Wright function whose consideration is necessitated by our work on probability theory and the theory of stochastic processes.
Paris, Richard B., Vinogradov, Vladimir
core +3 more sources
K‐Bessel functions in two variables
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 14, Page 909-916, 2003., 2003 The Bessel‐Muirhead hypergeometric system (or 0F1‐system) in two variables (and three variables) is solved using symmetric series, with an explicit formula for coefficients, in order to express the K‐Bessel function as a linear combination of the J‐solutions. Limits of this method and suggestions for generalizations to a higher rank are discussed.
Hacen Dib
wiley +1 more source