scientific article; zbMATH DE number 7072834

zbMath1420.35222MaRDI QIDQ5384701

Frédéric Ayant

Publication date: 25 June 2019

Full work available at URL: http://www.ijaamm.com/uploads/2/1/4/8/21481830/v5n1p8_69-74.pdf

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zbMATH Keywords

multivariable H-functionSrivastava-Daoust functiongeneral classes of polynomialsmodified multivariable H-functionoscillations of water

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Solutions to PDEs in closed form (35C05)

Cites Work

• A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials
• The integration of certain products of the multivariable H-function with a general class of polynomials
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