The early history of the hypergeometric function

DOI10.1007/BF00330241zbMath0554.01013MaRDI QIDQ759733

Jacques Dutka

Publication date: 1984

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

zbMATH Keywords

interpolationdifferential equationEulerStirlingGauß\(\beta \) -functionPfaff

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50) History of mathematics in the 19th century (01A55) History of special functions (33-03)

Related Items (10)

A hypergeometric integral with applications to the fundamental solution of Laplace's equation on hyperspheres ⋮ Legendre hyperelliptic integrals, \(\pi\) new formulae and Lauricella functions through the elliptic singular moduli ⋮ Developing into series and returning from series: A note on the foundations of eighteenth-century analysis ⋮ Looking Backward: From Euler to Riemann ⋮ Exact solutions of nonlinear equation of rod deflections involving the Lauricella hypergeometric functions ⋮ The foundational aspects of Gauss's work on the hypergeometric, factorial and digamma functions ⋮ The early history of the factorial function ⋮ Algebraic analysis of the hypergeometric function \(_1F_1\) of a matrix argument ⋮ Motions about a fixed point by hypergeometric functions: new non-complex analytical solutions and integration of the herpolhode ⋮ Some aspects of Euler's theory of series: Inexplicable functions and the Euler-Maclaurin summation formula

Cites Work

• Foldy Transformation in the Pion-Hyperon System
• Leonhard Euler's Integral: A Historical Profile of the Gamma Function: In Memoriam: Milton Abramowitz
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