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HYPERGEOMETRIC FUNCTIONS AND SINGULAR SOLUTIONS OF WAVE EQUATIONS WITH LORENTZ-INVARIANT POTENTIAL
ALI BENTRAD, SATYANAD KICHENASSAMY
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Source: Crossref
Published: Jun 1, 2009
DOI: 10.1142/s0219199709003466
Open original source ↗Source abstract
New solutions of equation u tt - Δu + Au/(r 2 - t 2 ) = 0, in the series of hypergeometric functions (HGF), are constructed. A sharpened estimate on hypergeometric functions is derived to prove the convergence of the series.
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