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Applied Mathematics and Computation, 2015
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Al-Lail, Mohammed H., Qadir, Asghar
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Al-Lail, Mohammed H., Qadir, Asghar
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Transformation Properties of Hypergeometric Functions and Their Applications
Computational Methods and Function Theory, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiu, Song-Liang +2 more
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ON THE CONSTRUCTION OF (p,k)-HYPERGEOMETRIC FUNCTION AND APPLICATIONS
Fractals, 2022In 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 +3 more
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Application of Hypergeometric function in MIMO Wireless Systems
2018 International Conference on Circuits and Systems in Digital Enterprise Technology (ICCSDET), 2018Special 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
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Applications of Hypergeometric Functions with Distribution Theory
2022Hypergeometric 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.
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Formula for the Product of Gauss Hypergeometric Functions and Applications
Journal of Mathematical Sciences, 2020The \(\Gamma\)-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
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Application of Hypergeometric Functions of Two Variables in Wireless Communication Theory
Lobachevskii Journal of Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brychkov, Yu. A., Savischenko, N. V.
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Legendre Polynomial Expansions of Hypergeometric Functions with Applications
Journal of Mathematical Physics, 1970The 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.
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Some microwave applications of the Kummer confluent hypergeometric function
Proceedings of 2003 5th International Conference on Transparent Optical Networks, 2003., 2004Examples of the application of confluent hypergeometric functions in miscellaneous areas of theoretical physics are presented. Emphasis is placed on the use of Kummer function in the field of microwaves: the cases of normal and slow rotationally symmetric TE modes propagation in the azimuthally magnetized circular ferrite waveguide are considered. Some
G.N. Georgiev, M.N. Georgieva-Grosse
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Publicationes Mathematicae Debrecen, 2022
Two familiar subclasses of analytic functions are considered in the present investigation: the class \({\mathcal S}(\alpha)\) of analytic functions f(z) satisfying the inequality \[ Re\{f(z)/z\}>\alpha \quad (0\leq \alpha
Srivastava, H. M., Owa, Shigeyoshi
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Two familiar subclasses of analytic functions are considered in the present investigation: the class \({\mathcal S}(\alpha)\) of analytic functions f(z) satisfying the inequality \[ Re\{f(z)/z\}>\alpha \quad (0\leq \alpha
Srivastava, H. M., Owa, Shigeyoshi
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