Infinite summation formulas for triple Lauricella hypergeometric functions

DOI10.1007/S10958-023-06590-ZMaRDI QIDQ6187941

Tuhtasin Gulamjanovich Ergashev, Anvar Hasanov

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

Lauricella functionssummation theorems

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) General theorems on summability (40D05) Multiple sequences and series (40B05) Appell, Horn and Lauricella functions (33C65)

Cites Work

• Decomposition formulas associated with the Lauricella multivariable hypergeometric functions
• Some decomposition formulas associated with the Lauricella function \(F_{A}^{(r)}\) and other multiple hypergeometric functions
• 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)
• Generalised hypergeometric series^NF (x₁,...,x_N) arising in physical and quantum chemical applications
• On some formulas for the Appell functionF₃(a,a′,b,b′;c;w,z)
• Recursion formulas for multivariable hypergeometric functions
• On some formulas for the Appell function F4(a,b;c,c′;w,z)
• EXPANSIONS OF APPELL'S DOUBLE HYPER-GEOMETRIC FUNCTIONS (II)
• EXPANSIONS OF HYPERGEOMETRIC FUNCTIONS
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