Radicals and units in Ramanujan's work
Ramanujan's entries and solutions of incomplete elliptic integrals in terms of hypergeometric functions.
Recherches sur les fonctions cylindriques et le développement des fonctions continues en séries
Recurrence Formulas for Zonal Polynomials.
Recurrence relation for a class of polynomials associated with the generalized Hermite polynomials.
Recurrence relations for the coefficients of expansions in classical orthogonal polynomials of a discrete variable
A method is given to find a recurrence relation for the coefficients of the series expansion of a function f with respect to classical orthogonal polynomials of a discrete variable, which follows from a linear difference equation satisfied by f.
Recurrence relations with periodic coefficients and Chebyshev polynomials
We show that polynomials defined by recurrence relations with periodic coefficients may be represented with the help of Chebyshev polynomials of the second kind.
Recurrences for the coefficients of series expansions with respect to classical orthogonal polynomials
Let be any sequence of classical orthogonal polynomials. Further, let f be a function satisfying a linear differential equation with polynomial coefficients. We give an algorithm to construct, in a compact form, a recurrence relation satisfied by the coefficients in . A systematic use of the basic properties (including some nonstandard ones) of the polynomials results in obtaining a low order of the recurrence.
Redheffer type inequality for Bessel functions.
Reduction of Certain Generalized Kampé de Fériet Functions.
Reflection Groups and Orthogonal Polynomials on the Sphere.
Regions of Convergence for Hypergeometric Series in Three Variables.
Regularization of a discrete backward problem using coefficients of truncated Lagrange polynomials.
Reliability for Beta Models
In the area of stress-strength models there has been a large amount of work as regards estimation of the reliability R = Pr(X2 < X1 ) when X1 and X2 are independent random variables belonging to the same univariate family of distributions. The algebraic form for R = Pr(X2 < X1 ) has been worked out for the majority of the well-known distributions including Normal, uniform, exponential, gamma, weibull and pareto. However, there are still many other distributions for which the form of R is...
Reliability for Laplace distributions.
Remarks on orthogonal polynomials with respect to varying measures and related problems.
Remarks on the operational formulas for orthogonal polynomials
Remarks on the Preceding Paper by Gavin Brown and Edwin Hewitt.
Remodified Bessel functions via coincidences and near coincidences.
Representations of Jordan algebras and special functions
This paper is concerned with the action of a special formally real Jordan algebra U on an Euclidean space E, with the decomposition of E under this action and with an application of this decomposition to the study of Bessel functions on the self-adjoint homogeneous cone associated to U.