Integral Properties of Zonal Spherical Functions, Hypergeometric Functions and Invariant
author
Abstract:
Some integral properties of zonal spherical functions, hypergeometric functions and invariant polynomials are studied for real normed division algebras.
similar resources
Quantum Zonal Spherical Functions and Macdonald Polynomials
It is possible to develop a unified theory of quantum symmetric pairs based on a characterization of left coideal subalgebras in the quantized enveloping algebra, which are maximal with respect to specializing (in the limit) to the classical algebra fixed under an involution. Previous work established an appropriate framework for quantum zonal spherical functions using this characterization. He...
full textZonal polynomials and hypergeometric functions of quaternion matrix argument ∗
We define zonal polynomials of quaternion matrix argument and deduce some important formulae of zonal polynomials and hypergeometric functions of quaternion matrix argument. As an application, we give the distributions of the largest and smallest eigenvalues of a quaternion central Wishart matrix W ∼ QW (n,Σ), respectively.
full textA Subclass of Analytic Functions Associated with Hypergeometric Functions
In the present paper, we have established sufficient conditions for Gaus-sian hypergeometric functions to be in certain subclass of analytic univalent functions in the unit disc $mathcal{U}$. Furthermore, we investigate several mapping properties of Hohlov linear operator for this subclass and also examined an integral operator acting on hypergeometric functions.
full textSymmetric Functions and Bn -invariant Spherical Harmonics
The wave functions of a quantum isotropic harmonic oscillator in N-space modified by barriers at the coordinate hyperplanes can be expressed in terms of certain generalized spherical harmonics. These are associated with a product-type weight function on the sphere. Their analysis is carried out by means of differential-difference operators. The symmetries of this system involve the Weyl group o...
full textStarlike and Convex Properties for Hypergeometric Functions
The purpose of the present paper is to give some characterizations for a Gaussian hypergeometric function to be in various subclasses of starlike and convex functions. We also consider an integral operator related to the hypergeometric function.
full textProperties of multivalent functions associated with certain integral operator
Let A(p) denote the class of functions which are analytic in the open unit disk U. By making use of certain integral operator,we obtain some interesting properties of multivalent analytic functions.
full textMy Resources
Journal title
volume 13 issue None
pages 83- 124
publication date 2014-03
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023