Buscar
Mostrando ítems 11-20 de 193
SZEGO POLYNOMIALS FROM HYPERGEOMETRIC FUNCTIONS
(Amer Mathematical Soc, 2010-12-01)
Szego polynomials with respect to the weight function w(theta) = e(eta theta)[sin(theta/2)](2 lambda), where eta, lambda is an element of R and lambda > -1/2 are considered. Many of the basic relations associated with these ...
Derivatives of Horn hypergeometric functions with respect to their parameters
(American Institute of Physics, 2017-07-24)
The derivatives of eight Horn hypergeometric functions [four Appell F1, F2, F3, and F4, and four (degenerate) confluent Φ1, Φ2, Ψ1, and Ξ1] with respect to their parameters are studied. The first derivatives are expressed, ...
SZEGO POLYNOMIALS FROM HYPERGEOMETRIC FUNCTIONS
(Amer Mathematical Soc, 2014)
Derivatives of any order of the hypergeometric function pFq(a1, ..., ap; b1, ..., bq; z) with respect to the parameters ai and bi
(IOP Publishing, 2010-02)
The derivatives of any order of the general hypergeometric function pFq(a1.....ap; b1.....bq;z) with respect to the parameters a; or bj are expressed, in compact form, in terms of generalizations of multivariable Kampe de ...
Derivatives of any order of the Gaussian hypergeometric function 2F1( a,b,c;z) with respect to the parameters a, b and c
(IOP Publishing, 2009-09-11)
The derivatives to any order of the Gaussian hypergeometric function 2F1(a, b, c; z) with respect to the parameters a, b and c are expressed in terms of generalizations of multivariable Kampé de Fériet functions. Several ...
Semi- orthogonalities of class of Gauss hypergeometric functionsSemi- orthogonalities of class of Gauss hypergeometric functions
(2011-02-11)
We presented three semi-orthogonalities for a class of Gauss hypergeometric functions. We further employ the semi-orthogonalities to generate a theory concerning finite series expansion involving our hypergeometric functions.
Semi- orthogonalities of class of Gauss hypergeometric functionsSemi- orthogonalities of class of Gauss hypergeometric functions
(2011-02-11)
We presented three semi-orthogonalities for a class of Gauss hypergeometric functions. We further employ the semi-orthogonalities to generate a theory concerning finite series expansion involving our hypergeometric functions.
Bivariate generalization of the Gauss hypergeometric distribution
(HikariAnálisis MultivariadoBulgaria, 2022)
From the hypergeometric differential equation to a non-linear Schrödinger one
(Elsevier Science, 2015-10)
We show that the q-exponential function is a hypergeometric function. Accordingly, it obeys the hypergeometric differential equation. We demonstrate that this differential equation can be transformed into a non-linear ...