General hypergeometric systems of equations and series of hypergeometric type
From MaRDI portal
Publication:4272160
DOI10.1070/RM1992v047n04ABEH000915zbMath0798.33010OpenAlexW1982462612MaRDI QIDQ4272160
Israel M. Gel'fand, Mark I. Graev, Vladimir S. Retakh
Publication date: 1 February 1994
Published in: Russian Mathematical Surveys (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/rm1992v047n04abeh000915
Related Items
Analytic continuation of the Kampé de Fériet function and the general double Horn series ⋮ Characterization of generalizedperiodic vector fields on hyperbolic space ⋮ Integrable elliptic pseudopotentials ⋮ Analytic continuation of Lauricella's function FD(N) for large in modulo variables near hyperplanes {zj = zl} ⋮ Formulas for analytic continuation of Horn functions of two variables ⋮ Some results for \(q\)-functions of many variables ⋮ Formulas for calculating the \(3j\)-symbols of the representations of the Lie algebra \({\mathfrak{gl}}_3\) for the Gelfand-Tsetlin bases ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Duality for hypergeometric period matrices ⋮ Vector fields with zero flux through circles of fixed radius on $\mathbb{H}^2$ ⋮ Minimax estimation of the parameter of a negative binomial distribution ⋮ Dispersionless Hirota equations and the genus 3 hyperelliptic divisor ⋮ Constructing basises in solution space of the system of equations for the Lauricella Function F D (N) ⋮ \(p\)-adic GKZ hypergeometric complex ⋮ Formulas for computing the Lauricella function in the case of crowding of variables ⋮ Formulas for computing Euler-type integrals and their application to the problem of constructing a conformal mapping of polygons ⋮ Hypergeometric polynomials are optimal ⋮ Formula for the product of Gauss hypergeometric functions and applications ⋮ A functional realization of the Gelfand-Tsetlin base ⋮ On the analytic complexity of hypergeometric functions ⋮ Solution spaces of \(H\)-systems and the Ore-Sato theorem (extended abstract) ⋮ ON MELLIN-BARNES INTEGRAL REPRESENTATIONS FOR GKZ HYPERGEOMETRIC FUNCTIONS ⋮ Analytic continuation of the Lauricella function with arbitrary number of variables ⋮ Transformation of the triple series of Gelfand, Graev, and Retakh into a series of the same type and related problems ⋮ A functional approach to a Gelfand-Tsetlin type base for $\mathfrak{o}_5$ ⋮ The Ore-Sato theorem and shift exponents in the \(q\)-difference case ⋮ Studying the multiple Mellin--Barnes integrals by means of multidimensional residues ⋮ Applicability of the \(q\)-analogue of Zeilberger's algorithm ⋮ Proof of the Wilf-Zeilberger conjecture for mixed hypergeometric terms ⋮ Some new formulas involving \(\Gamma_q\) functions ⋮ Dimensions of solution spaces of \(H\)-systems ⋮ On the Regge-Gelfand problem of construction of a Pfaff system of Fuchsian type with a given singular divisor ⋮ Integrable pseudopotentials related to generalized hypergeometric functions ⋮ Theta hypergeometric integrals ⋮ Integrable \((2+1)\)-dimensional systems of hydrodynamic type ⋮ Antisymmetrization of the Gel'fand-Kapranov-Zelevinskii systems ⋮ Asymptotics of sums of hypergeometric terms ⋮ A Gelfand-Tsetlin-type basis for the algebra \(\mathfrak{sp}_4\) and hypergeometric functions ⋮ Horn's hypergeometric functions with three variables ⋮ Confluence of hypergeometric functions and integrable hydrodynamic-type systems ⋮ The structure of solutions of a hypergeometric equation system ⋮ Analytic continuation of the Horn hypergeometric series with an arbitrary number of variables ⋮ Analytic continuation of Lauricella's functions , and ⋮ On a multidimensional system of hypergeometric differential equations ⋮ Hypergeometric series representations of Feynman integrals by GKZ hypergeometric systems ⋮ Bivariate hypergeometric \(D\)-modules ⋮ Kinematic singularities of Feynman integrals and principal \(A\)-determinants ⋮ Extending the factorization principle to hypergeometric series of general form ⋮ The Hadamard product of hypergeometric series ⋮ Clebsh–Gordan coefficients for the algebra 𝔤𝔩₃ and hypergeometric functions ⋮ Classification of integrable two-component Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions
