Bethe ansatz for the Ruijsenaars model of -type.
Beukers' integrals and Apéry's recurrences.
Beyond the Gaussian.
Bi-axial Gegenbauer functions of the first and second kind
The classical orthogonal polynomials defined on intervals of the real line are related to many important branches of analysis and applied mathematics. Here a method is described to generalise this concept to polynomials defined on higher dimensional spaces using Bi-Axial Monogenic functions. The particular examples considered are Gegenbauer polynomials defined on the interval [-1,1] and the Gegenbauer functions of the second kind which are weighted Cauchy integral transforms over this interval of...
Bilateral generating functions for a new class of generalized Legendre polynomials.
Bilinear generating functions for Laguerre and Lauricella polynomials in several variables
Binomial residues
A binomial residue is a rational function defined by a hypergeometric integral whose kernel is singular along binomial divisors. Binomial residues provide an integral representation for rational solutions of -hypergeometric systems of Lawrence type. The space of binomial residues of a given degree, modulo those which are polynomial in some variable, has dimension equal to the Euler characteristic of the matroid associated with .
Biorthogonal expansion of non-symmetric Jack functions.
Biorthogonalität von Polynomen.
Bounds for the beta function
Bounds for the ratio of two gamma functions.
Bounds for zeta and related functions.
Building some symmetric Laguerre-Hahn functionals of class two at most through the sum of symmetric functionals as pseudofunctions with a Dirac measure at origin.