Identities involving special functions from hypergeometric solution of algebraic equations

DOI10.55730/1300-0098.3464arXiv2008.03524OpenAlexW4387164407MaRDI QIDQ6198335

J. L. González-Santander

Publication date: 21 February 2024

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.03524

zbMATH Keywords

hypergeometric functionsalgebraic equationsintegrals of special functionstrinomial equationreduction formulas of special functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) One-variable calculus (26A06) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Cites Work

• Hypergeometric functions and the trinomial equation
• On the Lambert \(w\) function
• DIHEDRAL GAUSS HYPERGEOMETRIC FUNCTIONS
• Algebraic Transformations of 3F2
• EXPRESSIONS FOR VALUES OF THE GAMMA FUNCTION
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