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Analytic continuation of the Kampé de Fériet function and the general double Horn series - MaRDI portal

Analytic continuation of the Kampé de Fériet function and the general double Horn series (Q5039350)

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scientific article; zbMATH DE number 7600253

Language	Label	Description	Also known as
English	Analytic continuation of the Kampé de Fériet function and the general double Horn series	scientific article; zbMATH DE number 7600253

Statements

scholarly article

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Analytic continuation of the Kampé de Fériet function and the general double Horn series (English)

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S. I. Bezrodnykh

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Integral Transforms and Special Functions

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publication date

12 October 2022

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zbMATH Keywords

multiple hypergeometric functions

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Kampé de Fériet function

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Horn series

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analytic continuation

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/10652469.2022.2056601

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General hypergeometric systems of equations and series of hypergeometric type

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The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications

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Higher derivatives of the Bessel functions with respect to the order

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On derivatives of hypergeometric functions and classical polynomials with respect to parameters

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6<i>j</i>-symbols for symmetric representations of<i>SO</i>(<i>n</i>) as the double series

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Towards Feynman rules for conformal blocks

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Integration of the Partial Differential Equations for the Hypergeometric Functions <i>F</i>1 and <i>FD</i> of Two and More Variables

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Analytic continuations of the Lauricella function

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Analytic continuation of the Lauricella function with arbitrary number of variables

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Analytic continuation of Lauricella's function <i>F</i><sub><i>D</i></sub><sup>(<i>N</i>)</sup> for large in modulo variables near hyperplanes {<i>z</i><sub><i>j</i></sub> = <i>z</i><sub><i>l</i></sub>}

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Analytic continuation of Lauricella's function <i>F</i><sub><i>D</i></sub><sup>(<i>N</i>)</sup> for variables close to unit near hyperplanes {<i>z</i><sub><i>j</i></sub> = <i>z</i><sub><i>l</i></sub>}

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Analytic continuation of the Horn hypergeometric series with an arbitrary number of variables

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Analytic continuation of Lauricella's functions , and

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On some formulas for the Horn functions <i>H</i><sub>5</sub> <i>(a</i>, <i>b</i>; <i>c</i>;<i>w</i>, <i>z)</i> and <i>(a</i>; <i>c</i>;<i>w</i>, <i>z)</i>

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On some formulas for the Horn functions <i>H<sub>6</sub>(a, b, b′w, z)</i> and <i>H<sub>8</sub><sup>(c)</sup>(a, b;w, z)</i>

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Using functional equations to calculate Feynman integrals

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Application of hypergeometric functions of two variables in wireless communication theory

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Differential reduction of generalized hypergeometric functions from Feynman diagrams: one-variable case

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Asymptotics of the Riemann-Hilbert problem for the Somov model of magnetic reconnection of long shock waves

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Analytical solution for the cavitating flow over a wedge. II

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The Asymptotic Expansion of the Generalized Hypergeometric Function

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Identifiers

10.1080/10652469.2022.2056601

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5039350

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