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)

DOI10.1080/10652469.2020.1817007zbMath1482.33010OpenAlexW3083835719MaRDI QIDQ4959458

Yu. A. Brychkov, N. V. Savischenko

Publication date: 13 September 2021

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2020.1817007

zbMATH Keywords

integralshypergeometric functionsspecial functionsdifferentiationAppell functionsseriesHumbert functionsHorn functions

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Appell, Horn and Lauricella functions (33C65)

Related Items (4)

On some formulas for the confluent Horn functions H₃^(c) (a, b, c; d; w, z), H₄^(c) (a, c; d; w, z) and H₉^(c) (a, b; c; w, z) ⋮ The Beta‐Pochhammer and its application to arbitrary threshold phase error probability of a vector in Gaussian noise ⋮ On some formulas for the confluent Horn functions H ₁₀ ^{( c )} ( a; c; w, z ) and H ₁₁ ^{( c )} ( a, c, c′; d; w, z ) ⋮ On some formulas for the Horn functions H₄(a, b; c, c′;w, z) and H₇^(c) (a; c, c′;w, z)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On some formulas for the Appell functionF₂(a, b, b′;c, c′;w; z)
• Some formulas for the Appell functionF₁(a, b, b′;c; w, z)
• On some formulas for the Appell functionF₃(a,a′,b,b′;c;w,z)
• On some formulas for the Appell function F4(a,b;c,c′;w,z)
• On some formulas for the Horn functions G₁ (a, b, b′;w, z) and Γ₂ (b, b′;w, z)
• INTEGRAL REPRESENTATIONS FOR HORN'S <i>H</i>₂ FUNCTION AND OLSSON'S <i>F_P</i> FUNCTION
• Hypergeometrische Funktionen zweier Veränderlichen

This page was built for publication: 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)