Results 121 to 130 of about 39,748 (165)

Multivariable Hypergeometric Functions

2001
The goal of this lecture is to present an overview of the modern developments around the theme of multivariable hypergeometric functions. The classical Gauss hypergeometric function shows up in the context of differential geometry, algebraic geometry, representation theory and mathematical physics.
openaire   +2 more sources

The hyperbolic–hypergeometric functions

Journal of Mathematical Physics, 2001
In this work we present a new function to represent the approximate solution of a system of three charged particles. This function is based on an extension to two variables of the confluent hypergeometric function 1F1 of Kummer and can be obtained using a method similar to that used by Appell and Kampé de Fériet.
Gasaneo, G., Colavecchia, F. D., Otranto, S., Garibotti, C. R.   +3 more
openaire   +2 more sources

Zeros of Hypergeometric Functions

Computational Methods and Function Theory, 2001
Here it is shown that the hypergeometric function \(F(a,b;b+1;z)\) has no zeros in a specified half-plane for certain ranges of parameters. It is also shown that the zeros of the hypergeometric polynomials \(F(-n,kn+ \ell+1; kn+ \ell+2;z)\) cluster on one loop of a specified lemniscate. Other results then follow from quadratic relations.
Boggs, Kathryn, Duren, Peter
openaire   +2 more sources

ON q-HYPERGEOMETRIC FUNCTIONS

Far East Journal of Mathematical Sciences (FJMS), 2017
Summary: In this article, we study some results on meromorphic functions defined by \(q\)-hypergeometric functions. In addition, certain sufficient conditions for these meromorphic functions to satisfy a subordination property are also pointed out. In fact, these results extend known results of starlikeness, convexity, and close to convexity.
Challab, K. A., Darus, M., Ghanim, F.
openaire   +2 more sources

Extended hypergeometric and confluent hypergeometric functions

Applied Mathematics and Computation, 2004
The functions under consideration are the extended Gaussian hypergeometric function \[ F_p(a,b;c,z)= {1\over B(b,c- b)} \int^1_0 t^{b-1}(1- t)^{c-b-1}(1- zt)^{-a}\exp\Biggl[-{p\over t(1- t)}\Biggr]\,dt \] and its confluent counterpart \(\Phi_p(b;c;z)\) with \(\exp(zt)\) in place of \((1- zt)^{-a}\). The authors discuss differentiation with respect to \(
Chaudhry, M. Aslam, Qadir, Asghar, Srivastava, H. M., Paris, R. B.   +3 more
openaire   +2 more sources

Extended Multivariable Hypergeometric Functions

2019
In this chapter, we define an extension of multivariable hypergeometric functions. We obtain a generating function for these functions. Furthermore, we derive a family of multilinear and multilateral generating functions for these extended multivariable hypergeometric functions.
Erkuş-Duman, Esra, Düzgün, Düriye
openaire   +2 more sources

EXPANSIONS OF HYPERGEOMETRIC FUNCTIONS

The Quarterly Journal of Mathematics, 1942
Not ...
openaire   +2 more sources

Computing the Hypergeometric Function

Journal of Computational Physics, 1997
The Gauss hypergeometric function \({}_2F_1(a,b;c;x)\) is computed for real values of the variables \(a, b, c\) and \(x\). Transformation formulas are used to give a suitable \(x-\)interval for the power series. Great care is taken for the divergences that occur for certain values of \(a, b\) and \(c\) in the transformations.
openaire   +1 more source

Hypergeometric Functions

2016
Vasudevan Lakshminarayanan, L. Srinivasa Varadharajan   +1 more
  +4 more sources

Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
exaly