W. Gordon’s integral (1929) and its representations by means of Appell’s functions F2, F1, and F3

DOI10.1063/1.1539305zbMath1062.33013OpenAlexW2317059130MaRDI QIDQ4832952

V. F. Tarasov

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1539305

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Appell, Horn and Lauricella functions (33C65)

Related Items (5)

Derivatives of Horn hypergeometric functions with respect to their parameters ⋮ A massive Feynman integral and some reduction relations for Appell functions ⋮ NEW PROPERTIES OF THE P. E. APPELL HYPERGEOMETRIC SERIES F₂(α;β, β′;γ, γ′;x, y) TO THE VICINITY OF THE SINGULAR POINT (1, 1) AND NEAR THE BOUNDARY OF ITS DOMAIN OF CONVERGENCE D₂:|x|+|y|<1 ⋮ Some reduction and transformation formulas for the Appell hypergeometric function \(F_{2}\) ⋮ Recursion formulas for Appell's hypergeometric function \(F_2\) with some applications to radiation field problems

Cites Work

• Integrals of two confluent hypergeometric functions
• MULTIPOLE MATRIX ELEMENTS FOR DH-SYSTEMS AND THEIR ASYMPTOTICS

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