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On the evaluation of the Appell \(F_2\) double hypergeometric function - MaRDI portal

On the evaluation of the Appell \(F_2\) double hypergeometric function (Q6100779)

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scientific article; zbMATH DE number 7700411

Language	Label	Description	Also known as
English	On the evaluation of the Appell \(F_2\) double hypergeometric function	scientific article; zbMATH DE number 7700411

Statements

scholarly article

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On the evaluation of the Appell \(F_2\) double hypergeometric function (English)

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B. Ananthanarayan

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Computer Physics Communications

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publication date

22 June 2023

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full work available at URL

https://arxiv.org/abs/2111.05798

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zbMATH Keywords

Appell functions

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Horn functions

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double hypergeometric functions

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numerical evaluation

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MaRDI profile type

MaRDI publication profile

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Analytic tools for Feynman integrals

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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 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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Numerical evaluation of Appell's \(F_1\) hypergeometric function

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On the integration of the differential equations of five-parametric double-hypergeometric functions of second order

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CONNECTION FORMULAS AND IRREDUCIBILITY CONDITIONS FOR APPELL^|^rsquo;S F2

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INTEGRAL REPRESENTATIONS FOR HORN'S <i>H</i><sub>2</sub> FUNCTION AND OLSSON'S <i>F<sub>P</sub></i> FUNCTION

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CONNECTION FORMULAS RELATED WITH APPELL'S <i>F</i><sub>2</sub>, HORN'S <i>H</i><sub>2 </sub>AND OLSSON'S <i>F</i><i><sub>P </sub></i>FUNCTIONS

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A new analytic continuation of Appell’s hypergeometric series <i>F</i>2

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Analytic Continuation of Appell's Hypergeometric Series <i>F</i>2 to the Vicinity of the Singular Point <i>x</i> = 1, <i>y</i> = 1

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Some reduction and transformation formulas for the Appell hypergeometric function \(F_{2}\)

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Recursion formulas for Appell's hypergeometric function \(F_2\) with some applications to radiation field problems

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EXPANSIONS OF APPELL'S DOUBLE HYPERGEOMETRIC FUNCTIONS

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On convergent series representations of Mellin-Barnes integrals

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Multiple Mellin-Barnes integrals as periods of Calabi-Yau manifolds with several moduli

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The one-loop pentagon to higher orders in \(\varepsilon \)

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Hypergeometric functions of two variables

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On some formulas for the Appell function<i>F</i><sub>2</sub>(<i>a, b, b</i>′;<i>c, c</i>′;<i>w; z</i>)

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The analytic continuation of the Gaussian hypergeometric function \(_2F_1(a,b;c;z)\) for arbitrary parameters

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.CPC.2022.108589

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Sitelinks

Mathematics(1 entry)

mardi Publication:6100779

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