Salvatore Pincherle: the pioneer of the Mellin-Barnes integrals.

DOI10.1016/S0377-0427(02)00609-XzbMath1050.33018arXivmath/0702520OpenAlexW1975607997WikidataQ56593352 ScholiaQ56593352MaRDI QIDQ1874170

Gianni Pagnini, Francesco Mainardi

Publication date: 22 May 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702520

zbMATH Keywords

linear differential equationsdifference equationsgeneralized hypergeometric functionsMellin-Barnes integralsMeijer \(G\)-functions

Mathematics Subject Classification ID

Other functions coming from differential, difference and integral equations (33E30) Generalized hypergeometric series, ({}_pF_q) (33C20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) History and biography (01-XX)

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Cites Work

• The G and H Functions as Symmetrical Fourier Kernels
• The fundamental solution of the space-time fractional diffusion equation
• A CLASS OF DISCONTINUOUS INTEGRAL
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