Results 241 to 250 of about 41,081 (281)

Transformation Properties of Hypergeometric Functions and Their Applications

Computational Methods and Function Theory, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiu, Song-Liang, Ma, Xiao-Yan, Chu, Yu-Ming   +2 more
openaire   +2 more sources

ON THE CONSTRUCTION OF (p,k)-HYPERGEOMETRIC FUNCTION AND APPLICATIONS

Fractals, 2022
In this paper, we construct a [Formula: see text]-hypergeometric function by using the Hadamard product, which we call the generalized [Formula: see text]-hypergeometric function. Several properties, namely, convergence properties, derivative formulas, integral representations and differential equations are indicated of this function.
Fuli He, Ahmed Bakhet, Muajebah Hidan, Hala Abd-Elmageed   +3 more
openaire   +2 more sources

Application of Hypergeometric function in MIMO Wireless Systems

2018 International Conference on Circuits and Systems in Digital Enterprise Technology (ICCSDET), 2018
Special functions such as hypergeometric function and Laguerre polynomials are particular mathematical functions which are having a great significant importance in MIMO wireless systems. From the fast decade, MIMO systems are developed to increase the data rate and reliability in wireless communication networks.
Hanumantha Rao Bitra, P. Palanisamy
openaire   +1 more source

Applications of Basic Hypergeometric Functions

SIAM Review, 1974
This paper surveys recent applications of basic hypergeometric functions to partitions, number theory, finite vector spaces, combinatorial identities and physics.
openaire   +2 more sources

Applications of Hypergeometric Functions with Distribution Theory

2022
Hypergeometric functions are generalized from transcendental functions. The function and series we use in quantitative economics can be evaluated analytically and expressed in form of hypergeometric function. In this paper, we introduce application of different class of hypergeometric functions in number of areas such as economic theory and econometric.
openaire   +1 more source

Formula for the Product of Gauss Hypergeometric Functions and Applications

Journal of Mathematical Sciences, 2020
The \(\Gamma\)-series is defined by a lattice \(B \subset \mathbb Z^N\) and a fixed vector \(\gamma \subset \mathbb C^N\). This paper contains a formula for the product of two \(\Gamma\)-series in four variables, connected with the lattice \(B=\mathbb{Z}\langle(1,-1,-1,1)\rangle\). As a consequence of the formula for the product of \(\Gamma\)-series, a
openaire   +2 more sources

Application of Hypergeometric Functions of Two Variables in Wireless Communication Theory

Lobachevskii Journal of Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brychkov, Yu. A., Savischenko, N. V.
openaire   +1 more source

Legendre Polynomial Expansions of Hypergeometric Functions with Applications

Journal of Mathematical Physics, 1970
The expansion of a class of hypergeometric functions in a series of Legendre polynomials is derived. The range of validity and the meaning to be attached to the sums is investigated. Several applications to the problem of the scattering of charged particles are presented.
openaire   +2 more sources

Fourier transform representation of the generalized hypergeometric functions with applications to the confluent and Gauss hypergeometric functions

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al-Lail, Mohammed H., Qadir, Asghar
openaire   +1 more source