Certain extensions of results of Siegel, Wilton and Hardy
DOI10.1016/j.aam.2024.102676arXiv2304.09545MaRDI QIDQ6199296
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Publication date: 21 March 2024
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.09545
summation formulasDirichlet seriesBessel functionsconfluent hypergeometric functionJacobi theta functionsHardy's theorem
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Other Dirichlet series and zeta functions (11M41) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Dirichlet series, exponential series and other series in one complex variable (30B50) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)
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