Hypergeometrische Funktionen zweier Veränderlichen

DOI10.1007/BF01455825zbMath0002.34402OpenAlexW2983107807MaRDI QIDQ5915316

J. Horn

Publication date: 1931

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/159518

zbMATH Keywords

differential equations

Related Items (36)

Three- and four-term recurrence relations for Horn's hypergeometric function $H_4$ ⋮ Recursion formulas for the Srivastava–Daoust and related multivariable hypergeometric functions ⋮ On certain new formulas for the Horn's hypergeometric functions \(\mathcal{G}_1\), \(\mathcal{G}_2\) and \(\mathcal{G}_3\) ⋮ On the monodromy invariant Hermitian form for \(A\)-hypergeometric systems ⋮ Hypergeometric functions of two variables ⋮ On new formulae for cumulative distribution function for McKay Bessel distribution ⋮ Decomposition formulas for the double hypergeometric functions \(G_{1}\) and \(G_{2}\) ⋮ CONFLUENCES OF APPELL'S <i>F</i>₂SYSTEM OF HYPERGEOMETRIC DIFFERENTIAL EQUATIONS ⋮ Some formulas for Horn's hypergeometric function \(\mathrm{G}_B\) of three variables ⋮ Branched continued fraction representations of ratios of Horn's confluent function $\mathrm{H}_6$ ⋮ Hypergeometric symbolic calculus. II: Systems of confluent equations ⋮ Unnamed Item ⋮ Analytic continuation of the Lauricella function with arbitrary number of variables ⋮ The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications ⋮ Algebraicity of the Appell-Lauricella and Horn hypergeometric functions ⋮ Unnamed Item ⋮ The generalized incomplete gamma function as sum over modified Bessel functions of the first kind ⋮ Numerical evaluation of Appell's \(F_1\) hypergeometric function ⋮ On some formulas for the Horn function H₂ (a, ,b, ,c, ,c′; d; w, z) and confluent Horn function (a, b, c; d; w, z) ⋮ Infinite summation formulas of double hypergeometric functions ⋮ On some formulas for the Horn functions H₃ (a, b; c; w, z), (a; c; w, z) and Humbert function Φ₃(b; c; w, z) ⋮ Some integrals representing triple hypergeometric functions ⋮ SOME PROPERTIES OF HORN TYPE SECOND ORDER DOUBLE HYPERGEOMETRIC SERIES ⋮ The Lie Theory of Two-Variable Hypergeometric Functions ⋮ Transformation and Reduction Formulas for Two-Variable Hypergeometric Functions on the Sphere S ₂ ⋮ The analytic theory of systems of partial differential equations ⋮ Analytic continuation of the Horn hypergeometric series with an arbitrary number of variables ⋮ On some formulas for the Horn functions G₁ (a, b, b′;w, z) and Γ₂ (b, b′;w, z) ⋮ On some formulas for the Horn functions G₂ (a, a′, b, b′; w, z), G₃ (a, a′; w, z) and Γ₁ (a, b, b′; w, z) ⋮ On some formulas for the Horn functions H₁(a,b,c;d;w,z) and H₁^(c)(a,b;d;w,z) ⋮ INTEGRAL REPRESENTATIONS FOR HORN'S <i>H</i>₂ FUNCTION AND OLSSON'S <i>F_P</i> FUNCTION ⋮ The Need for a New Classification of Double Hypergeometric Series ⋮ Analytic Continuations of Higher-Order Hypergeometric Functions ⋮ Hypergeometric Functions and Feynman Diagrams ⋮ Hypergeometric symbolic calculus. I: Systems of two symbolic hypergeometric equations ⋮ Harmonic Analysis and Expansion Formulas for Two-Variable Hypergeometric Functions

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