Applications of quadratic and cubic hypergeometric transformations

DOI10.17951/A.2024.78.1.37-73zbMATH Open1547.33006MaRDI QIDQ6595840

Thomas Ernst, Per W. Karlsson

Publication date: 30 August 2024

Published in: Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica (Search for Journal in Brave)

zbMATH Keywords

dimension formulaL'Hôpital's ruleClausen's quadratic formuladivergent hypergeometric seriesquadratic and cubic hypergeometric transformations

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

• Products of generalized hypergeometric series.
• Some transformations of generalized hypergeometric series.
• A group of generalized hypergeometric series: relations between 120 allied series of the type \(F \left[ \begin{matrix} a, & b, & c \\ & e, & f \end{matrix} \right]\).
• A Comprehensive Treatment of q-Calculus
• Corollaries and multiple extensions of Gessel and Stanton hypergeometric summation formulas
• Strange Evaluations of Hypergeometric Series
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