2009, ISBN 1489984585, 275

This text begins with definitions, contours, existence conditions and particular cases of the H-function...

H-functions | Hypergeometric functions

H-functions | Hypergeometric functions

eBook

8/2009, ISBN 144190915X

eBook

IEEE Transactions on Information Theory, ISSN 0018-9448, 02/2014, Volume 60, Issue 2, pp. 1077 - 1082

This paper presents a new connection between the generalized Marcum-Q function and the confluent hypergeometric function of two variables, Î¦ 3...

Fading | Laplace equations | bivariate Nakagami- m | Receivers | minimum eigenvalue distribution | Eigenvalues and eigenfunctions | MIMO | Vectors | Polynomials | Marcum- q function | non-central Wishart matrix | confluent hypergeometric functions | bivariate Nakagami-m | Marcum-q function | Computer Science, Information Systems | Engineering, Electrical & Electronic | Engineering | Technology | Computer Science | Science & Technology | Fading channels | Usage | Innovations | Eigenvalues | Functions, Entire | Laplace transformation | Information theory | Hypergeometric functions | Correlation | Mathematical analysis | Joints | Communication theory | Minimum eigenvalue distribution | Bivariate Nakagami-m | Non-central Wishart matrix | Marcum-Q function | Confluent hypergeometric functions

Fading | Laplace equations | bivariate Nakagami- m | Receivers | minimum eigenvalue distribution | Eigenvalues and eigenfunctions | MIMO | Vectors | Polynomials | Marcum- q function | non-central Wishart matrix | confluent hypergeometric functions | bivariate Nakagami-m | Marcum-q function | Computer Science, Information Systems | Engineering, Electrical & Electronic | Engineering | Technology | Computer Science | Science & Technology | Fading channels | Usage | Innovations | Eigenvalues | Functions, Entire | Laplace transformation | Information theory | Hypergeometric functions | Correlation | Mathematical analysis | Joints | Communication theory | Minimum eigenvalue distribution | Bivariate Nakagami-m | Non-central Wishart matrix | Marcum-Q function | Confluent hypergeometric functions

Journal Article

ACM Transactions on Mathematical Software (TOMS), ISSN 0098-3500, 08/2019, Volume 45, Issue 3, pp. 1 - 26

We present an efficient implementation of hypergeometric functions in arbitrary-precision interval arithmetic...

Hypergeometric functions | automatic differentiation | arbitrary-precision arithmetic | interval arithmetic | Bessel functions | orthogonal polynomials | Physical Sciences | Technology | Computer Science | Mathematics | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology

Hypergeometric functions | automatic differentiation | arbitrary-precision arithmetic | interval arithmetic | Bessel functions | orthogonal polynomials | Physical Sciences | Technology | Computer Science | Mathematics | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology

Journal Article

1992, ISBN 9810209320, xii, 456

Book

Journal of computational and applied mathematics, ISSN 0377-0427, 06/2011, Volume 235, Issue 16, pp. 4601 - 4610

The main object of this paper is to present generalizations of gamma, beta and hypergeometric functions...

Confluent hypergeometric function | Beta function | Hypergeometric function | Gamma function | Mellin transform | Hypergeometric functions | Computation | Integrals | Mathematical analysis | Mathematical models | Transformations | Representations | Beta

Confluent hypergeometric function | Beta function | Hypergeometric function | Gamma function | Mellin transform | Hypergeometric functions | Computation | Integrals | Mathematical analysis | Mathematical models | Transformations | Representations | Beta

Journal Article

The journal of high energy physics, ISSN 1029-8479, 12/2019, Volume 2019, Issue 12, pp. 1 - 45

... as A-hypergeometric functions Leonardo de la Cruz Higgs Centre for Theoretical Physics, School of Physics and Astronomy, The University of Edinburgh, Edinburgh EH9 3FD, Scotland...

Physical Sciences | Physics, Particles & Fields | Physics | Science & Technology | Hypergeometric functions | Integrals | Differential and Algebraic Geometry | QCD | Perturbative | Scattering Amplitudes

Physical Sciences | Physics, Particles & Fields | Physics | Science & Technology | Hypergeometric functions | Integrals | Differential and Algebraic Geometry | QCD | Perturbative | Scattering Amplitudes

Journal Article

1999, Encyclopedia of mathematics and its applications, ISBN 0521623219, Volume 71., xvi, 664

Special functions, natural generalizations of the elementary functions, have been studied for centuries...

Functions, Special

Functions, Special

Book

SpringerPlus, ISSN 2193-1801, 12/2013, Volume 2, Issue 1, pp. 1 - 14

... a systematic investigation of numerous interesting properties of some families of generating functions and their partial sums which are associated...

General Hurwitz-Lerch Zeta function | Lerch Zeta function and the Polylogarithmic (or de JonquiÃ¨reâ€™s) function | Hurwitz (or generalized) and Hurwitz-Lerch Zeta functions | Generating functions and Eulerian Gamma-function and Beta-function integral representations | Fox-Wright Î¨ -function and the -function | Mittag-Leffler type functions | Gauss and Kummer hypergeometric functions | Mellin-Barnes type integral representations and Meromorphic continuation | Riemann | Science, general | Fox-Wright 9-function and the H-function | Lerch Zeta function and the Polylogarithmic (or de JonquiÃ¨re's) function

General Hurwitz-Lerch Zeta function | Lerch Zeta function and the Polylogarithmic (or de JonquiÃ¨reâ€™s) function | Hurwitz (or generalized) and Hurwitz-Lerch Zeta functions | Generating functions and Eulerian Gamma-function and Beta-function integral representations | Fox-Wright Î¨ -function and the -function | Mittag-Leffler type functions | Gauss and Kummer hypergeometric functions | Mellin-Barnes type integral representations and Meromorphic continuation | Riemann | Science, general | Fox-Wright 9-function and the H-function | Lerch Zeta function and the Polylogarithmic (or de JonquiÃ¨re's) function

Journal Article

1992, 2nd ed., ISBN 0070018480, xix, 479

Book

The Ramanujan journal, ISSN 1572-9303, 12/2018, Volume 50, Issue 2, pp. 263 - 287

In this paper, our aim is to establish some mean value inequalities for the Foxâ€“Wright functions...

Hypergeometric functions | 33E12 | Functions of a Complex Variable | 33C20 | Field Theory and Polynomials | LazareviÄ‡ and Wilker-type inequalities | Mathematics | Foxâ€“Wright functions | Four-parametric Mittagâ€“Leffler functions | Fourier Analysis | TurÃ¡n-type inequalities | Number Theory | Combinatorics | 26D07 | Physical Sciences | Science & Technology | Analysis | Television programs

Hypergeometric functions | 33E12 | Functions of a Complex Variable | 33C20 | Field Theory and Polynomials | LazareviÄ‡ and Wilker-type inequalities | Mathematics | Foxâ€“Wright functions | Four-parametric Mittagâ€“Leffler functions | Fourier Analysis | TurÃ¡n-type inequalities | Number Theory | Combinatorics | 26D07 | Physical Sciences | Science & Technology | Analysis | Television programs

Journal Article

The Ramanujan journal, ISSN 1382-4090, 11/2016, Volume 41, Issue 1, pp. 421 - 436

In this paper we investigate a continuous version of the hypergeometric zeta functions for any positive rational number...

Fourier Analysis | Functions of a Complex Variable | Fractional hypergeometric zeta functions | Hypergeometric zeta functions | Primary 11M41 | Field Theory and Polynomials | Riemann zeta function | Mathematics | Incomplete gamma functions and Confluent hypergeometric function | Number Theory | Combinatorics | Physical Sciences | Science & Technology

Fourier Analysis | Functions of a Complex Variable | Fractional hypergeometric zeta functions | Hypergeometric zeta functions | Primary 11M41 | Field Theory and Polynomials | Riemann zeta function | Mathematics | Incomplete gamma functions and Confluent hypergeometric function | Number Theory | Combinatorics | Physical Sciences | Science & Technology

Journal Article

Applied mathematics letters, ISSN 0893-9659, 2006, Volume 19, Issue 2, pp. 113 - 121

... with Lauricellaâ€™s hypergeometric function
F
A
(
r
)
in
r
variables
(
r
=
2
,
3
,
4
,
â€¦
)
and also with other multiple hypergeometric functions...

Lauricella functions | Integral representations | Inverse pairs of symbolic operators | Generalized hypergeometric function | Appell and KampÃ© de FÃ©riet functions | Multiple hypergeometric functions | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Lauricella functions | Integral representations | Inverse pairs of symbolic operators | Generalized hypergeometric function | Appell and KampÃ© de FÃ©riet functions | Multiple hypergeometric functions | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

2012, Rev. ed., ISBN 9814366455, xv, 168

Book

Iranian Journal of Science and Technology, Transactions A: Science, ISSN 1028-6276, 9/2018, Volume 42, Issue 3, pp. 1465 - 1470

An extension of the Beta matrix function by introducing an extra matrix parameter is applied here to extend the Gauss and Kummer hypergeometric matrix functions...

Gauss hypergeometric matrix function | Engineering | Kummer hypergeometric matrix function | Life Sciences, general | Chemistry/Food Science, general | Materials Science, general | Earth Sciences, general | Engineering, general | Physics, general | Matrix functional calculus | Science & Technology - Other Topics | Multidisciplinary Sciences | Science & Technology

Gauss hypergeometric matrix function | Engineering | Kummer hypergeometric matrix function | Life Sciences, general | Chemistry/Food Science, general | Materials Science, general | Earth Sciences, general | Engineering, general | Physics, general | Matrix functional calculus | Science & Technology - Other Topics | Multidisciplinary Sciences | Science & Technology

Journal Article

The journal of high energy physics, ISSN 1029-8479, 10/2019, Volume 2019, Issue 10, pp. 1 - 38

In this note, we present an alternative representation of the conformal block with external scalars in general spacetime dimensions in terms of a finite summation over Appell fourth hypergeometric function F4...

Conformal Field Theory | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Physical Sciences | Physics, Particles & Fields | Science & Technology | Hypergeometric functions | Kernels | Operators (mathematics) | Spacetime | Scalars | Representations | Orthogonality

Conformal Field Theory | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Physical Sciences | Physics, Particles & Fields | Science & Technology | Hypergeometric functions | Kernels | Operators (mathematics) | Spacetime | Scalars | Representations | Orthogonality

Journal Article