Lie Theory and the Appell Functions $F_1 $
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Publication:5644290
DOI10.1137/0504055zbMath0235.33017OpenAlexW1974559149MaRDI QIDQ5644290
Publication date: 1973
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0504055
Related Items (12)
The Lauricella functions and exact string scattering amplitudes ⋮ 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 ⋮ Some results for \(q\)-functions of many variables ⋮ Lie algebras of difference-differential operators and Appell functions \(F_ 1\) ⋮ The $\operatorname{SL}(K + 3, \mathbb{C})$ symmetry of the bosonic string scattering amplitudes ⋮ Solving Lauricella string scattering amplitudes through recurrence relations ⋮ The Lie theory of hypergeometric functions arising from \((1-\sum^ k_{i=1}z_ i)^ \lambda(1-\sum^ r_{j=k+1}z_ j)^ -\lambda\) ⋮ A generalization of the Gauß hypergeometric series ⋮ Characteristic functionals of Dirichlet measures ⋮ The Lie Theory of Two-Variable Hypergeometric Functions ⋮ Transformation and Reduction Formulas for Two-Variable Hypergeometric Functions on the Sphere S 2 ⋮ Method of continual addition theorems and integral relations between the Coulomb functions and the Appell function \(F_1\)
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