Results 61 to 70 of about 614 (214)

A Class of Integral Operators Preserving Subordination and Superordination

Journal of Inequalities and Applications, 2008
We give some subordination- and superordination-preserving properties of certain nonlinear integral operators defined on the space of normalized analytic functions in the open unit disk.
In Hwa Kim, Nak Eun Cho
doaj   +2 more sources

Product and Quotient of Independent Gauss Hypergeometric Variables

Ingeniería y Ciencia, 2011
In this article, we have derived the probability density functions of the productand the quotient of two independent random variables having Gauss hypergeometricdistribution.
Daya Krishna Nagar, Danilo Bedoya Valencia   +1 more
doaj  

DARBOUX EVALUATIONS OF ALGEBRAIC GAUSS HYPERGEOMETRIC FUNCTIONS

Kyushu Journal of Mathematics, 2013
This paper presents explicit expressions for algebraic Gauss hypergeometric functions. We consider solutions of hypergeometric equations with the tetrahedral, octahedral and icosahedral monodromy groups. Conceptually, we pull-back such a hypergeometric equation onto its Darboux curve so that the pull-backed equation has a cyclic monodromy group ...
openaire   +4 more sources

Interpolation on Gauss hypergeometric functions with an application [PDF]

Involve, a Journal of Mathematics, 2018
To appear in Involve-A Journal of Mathematics, 16 ...
Arora, Hina Manoj, Sahoo, Swadesh Kumar
openaire   +3 more sources

Small Sample Inference for Two‐Way Capture‐Recapture Experiments

International Statistical Review, Volume 93, Issue 1, Page 62-72, April 2025.
Summary The properties of the generalised Waring distribution defined on the non‐negative integers are reviewed. Formulas for its moments and its mode are given. A construction as a mixture of negative binomial distributions is also presented. Then we turn to the Petersen model for estimating the population size N in a two‐way capture‐recapture ...
Louis‐Paul Rivest, Mamadou Yauck
wiley   +1 more source

Celestial conformal blocks of massless scalars and analytic continuation of the Appell function F 1

Journal of High Energy Physics
In celestial conformal field theory (CCFT), the 4d massless scalars are represented by 2d conformal operators with conformal dimensions h = h ¯ $$ \overline{h} $$ = (1 + iλ)/2.
Wei Fan
doaj   +1 more source

Classical Multiple Orthogonal Polynomials for Arbitrary Number of Weights and Their Explicit Representation

Studies in Applied Mathematics, Volume 154, Issue 3, March 2025.
ABSTRACT This paper delves into classical multiple orthogonal polynomials with an arbitrary number of weights, including Jacobi–Piñeiro, Laguerre of both first and second kinds, as well as multiple orthogonal Hermite polynomials. Novel explicit expressions for general recurrence coefficients, as well as the stepline case, are provided for all these ...
Amílcar Branquinho, Juan E. F. Díaz, Ana Foulquié‐Moreno, Manuel Mañas   +3 more
wiley   +1 more source

Ground states of a non‐local variational problem and Thomas–Fermi limit for the Choquard equation

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We study non‐negative optimisers of a Gagliardo–Nirenberg‐type inequality ∫∫RN×RN|u(x)|p|u(y)|p|x−y|N−αdxdy⩽C∫RN|u|2dxpθ∫RN|u|qdx2p(1−θ)/q,$$\begin{align*} & \iint\nolimits _{\mathbb {R}^N \times \mathbb {R}^N} \frac{|u(x)|^p\,|u(y)|^p}{|x - y|^{N-\alpha }} dx\, dy\\ &\quad \leqslant C{\left(\int _{{\mathbb {R}}^N}|u|^2 dx\right)}^{p\theta } {\
Damiano Greco, Yanghong Huang, Zeng Liu, Vitaly Moroz   +3 more
wiley   +1 more source

Some Connections between the Spherical and Parabolic Bases on the Cone Expressed in terms of the Macdonald Function

Abstract and Applied Analysis, 2014
Computing the matrix elements of the linear operator, which transforms the spherical basis of SO(3,1)-representation space into the hyperbolic basis, very recently, Shilin and Choi (2013) presented an integral formula involving the product of two ...
I. A. Shilin, Junesang Choi
doaj   +1 more source

Gauss quadrature approximations to hypergeometric and confluent hypergeometric functions

Journal of Computational and Applied Mathematics, 2002
The author analyzes the error of the Gauss quadrature formula to compute hypergeometric and confluent hypergeometric functions based on their integral representations. The error is analyzed both in terms of the derivatives of the integrand and in terms of the derivative-free contour integral representation of the remainder term in the case of the ...
openaire   +1 more source