Further Generalization of Kobayashi's Gamma Function
In this paper, we introduce a further generalization of the gamma function involving Gauss hypergeometric function 2F1 (a, b; c; z)
Gaudin's model and the generating function of the Wroński map
We consider the Gaudin model associated to a point z ∈ ℂⁿ with pairwise distinct coordinates and to the subspace of singular vectors of a given weight in the tensor product of irreducible finite-dimensional sl₂-representations, [G]. The Bethe equations of this model provide the critical point system of a remarkable rational symmetric function. Any critical orbit determines a common eigenvector of the Gaudin hamiltonians called a Bethe vector. In [ReV], it was shown that for generic...
Gauss-Lobatto formulae and extremal problems with polynomials.
Gauss-Manin connections of Schläfli type for hypersphere arrangements
The cohomological structure of hypersphere arragnements is given. The Gauss-Manin connections for related hypergeometrtic integrals are given in terms of invariant forms. They are used to get the explicit differential formula for the volume of a simplex whose faces are hyperspheres.
Gegenbauer matrix polynomials and second order matrix differential equations.
Gelfand pairs and spherical functions.
Generalisations of some properties of invariant polynomials with matrix arguments
Some extensions of the properties of invariant polynomials proved by Davis (1980), Chikuse (1980), Chikuse and Davis (1986) and Ratnarajah et al. (2005) are given for symmetric and Hermitian matrices.
Generalization of the Modified Bessel Function and Its Generating Function
2000 Mathematics Subject Classification: 33C10, 33-02, 60K25This paper presents new generalizations of the modified Bessel function and its generating function. This function has important application in the transient solution of a queueing system.
Generalization of two identities in Ramanujan's lost notebook
Generalizations of Milne’s -Chu-Vandermonde summation
We derive two identities for multiple basic hyper-geometric series associated with the unitary group. In order to get the two identities, we first present two known -exponential operator identities which were established in our earlier paper. From the two identities and combining them with the two -Chu-Vandermonde summations established by Milne, we arrive at our...
Generalizations of the Bernoulli and Appell polynomials.
Generalizations of the classical Chebyshev polynomials to polynomials in two variables
Generalized Bessel function of type .
Generalized Cesàro operators on certain function spaces
Motivated by some recent results by Li and Stević, in this paper we prove that a two-parameter family of Cesàro averaging operators is bounded on the Dirichlet spaces . We also give a short and direct proof of boundedness of on the Hardy space for 1 < p < ∞.
Generalized coherent states for oscillators connected with Meixner and Meixner-Pollaczek polynomials.
Generalized ellipsoidal and sphero-conal harmonics.
Generalized fractional calculus to a subclass of analytic functions for operators on Hilbert space.
Generalized function fractional integration operators in some classes of analytic functions
Generalized Hermite Polynomials
Generalized Jacobi polynomials and Selberg integrals. (Polynômes de Jacobi généralisés et intégrales de Selberg.)