Generalized Lauricella Functions with Different Multiplicities
Generalized Legendre polynomials.
Generalized Neumann and Kapteyn expansions.
Generalized Picard lattices arising from half-integral conditions
Generating function and orthogonality property of a class of polynomials occurring in quantum mechanics
Generating function identities for , via the WZ method.
Generating functions and special functions.
Generating functions for certain q-orthogonal polynomials.
Generating functions for Jacobi and Laguerre polynomials
Generating functions on extended Jacobi polynomials from Lie group view point.
Generating functions play a large role in the study of special functions. The present paper deals with the derivation of some novel generating functions of extended Jacobi polynomials by the application of [the] group-theoretic method introduced by Louis Weisner. In fact, by suitably interpreting the index (n) and the parameter (β) of the polynomial under consideration we define four linear partial differential operators and on showing that they generate a Lie-algebra, we obtain a new generating...
Generating new classes of orthogonal polynomials.
Generating some semiclassical orthogonal polynomials.
Geometric properties of Wright function
In the present paper, we investigate certain geometric properties and inequalities for the Wright function and mention a few important consequences of our main results. A nonlinear differential equation involving the Wright function is also investigated.
Geometric structures on the complement of a projective arrangement
Consider a complex projective space with its Fubini-Study metric. We study certain one parameter deformations of this metric on the complement of an arrangement (= finite union of hyperplanes) whose Levi-Civita connection is of Dunkl type. Interesting examples are obtained from the arrangements defined by finite complex reflection groups. We determine a parameter interval for which the metric is locally of Fubini-Study type, flat, or complex-hyperbolic. We find a finite subset of this interval for...
Gleitkörper in konvexen Polytopen.
Goodness of fit procedures for the multivariate linear model based on spherical harmonics.