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Generalizations of the Jacobi identity to the case of the Lauricella function FD(N) - MaRDI portal

Generalizations of the Jacobi identity to the case of the Lauricella function FD(N) (Q6593048)

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scientific article; zbMATH DE number 7901588

Language	Label	Description	Also known as
English	Generalizations of the Jacobi identity to the case of the Lauricella function FD(N)	scientific article; zbMATH DE number 7901588

Statements

scholarly article

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Generalizations of the Jacobi identity to the case of the Lauricella function FD(N) (English)

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S. I. Bezrodnykh

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Integral Transforms and Special Functions

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publication date

26 August 2024

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MaRDI profile type

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Fonctions hypergéométriques et hypersphériques. Polynômes d'Hermite.

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Hypergeometric functions over an arbitrary field

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Some formulas for the Appell function<i>F</i><sub>1</sub>(<i>a, b, b</i>′;<i>c; w, z</i>)

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Hypergeometric functions differential reduction (HYPERDIRE): MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: \(F_D\) and \(F_S\) Horn-type hypergeometric functions of three variables

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

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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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On some formulas for the confluent Horn functions <i>H</i> <sub>10</sub> <sup> ( <i>c</i> ) </sup> ( <i>a; c; w, z</i> ) and <i>H</i> <sub>11</sub> <sup> ( <i>c</i> ) </sup> ( <i>a, c, c′; d; w, z</i> )

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\(\epsilon\)-expansion of multivariable hypergeometric functions appearing in Feynman integral calculus

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Hypergeometric Functions and Feynman Diagrams

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Analytical solution for the cavitating flow over a wedge. II

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Some properties of multiple hypergeometric functions and applications in the probability theory

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Method of continual addition theorems and integral relations between the Coulomb functions and the Appell function \(F_1\)

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Multiple hypergeometric functions in communication theory: Evaluations of error probabilities for four-parameter, \( \kappa{-}\mu\) and \(\eta{-}\mu\) signals distributions in general fading channels

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Analytic continuation formulas and Jacobi-type relations for Lauricella function

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Untersuchungen über die Differentialgleichung der hypergeometrischen Reihe.

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On hypergeometric functions of several variables.

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Lauricella function and the conformal mapping of polygons

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General hypergeometric systems of equations and series of hypergeometric type

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Identifiers

zbMATH Open document ID

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10.1080/10652469.2024.2351396

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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:6593048

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