On some integrals involving functions φ (x) such that φ (1/x) = √x φ (x)

Journal of Mathematical Analysis and Applications

Volumn 309, Issue 1, 2005, Pages 256-270

  Hill, James M ^a  

^a UNIVERSITY OF WOLLONGONG   (Australia)

Author keywords

Bessel functions; Integral equations; Integrals involving theta function; Riemann zeta function

Indexed keywords

EID: 22144469837     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.01.027     Document Type: Article

References (11)

1. G.E. Andrews R. Askey R. Roy Special Functions Encyclopedia Math. Appl. vol. 71 2000 Cambridge Univ. Press
2. T.J.I. Bromwich Introduction to the Theory of Infinite Series first ed. 1908 Macmillan London
3. H.B. Dwight Tables of Integrals and Other Mathematical Data 1961 Macmillan New York
4. H.M. Edwards Riemann's Zeta Function 1974 Academic Press New York
5. I.S. Gradshteyn I.M. Ryzhik Tables of Integrals, Series and Products 1965 Academic Press New York
6. J.M. Hill, Curve fitting, differential equations and the Riemann hypothesis, Ramanujan J., in press
7. F. Oberhettinger L. Badii Tables of Laplace Transforms 1973 Springer-Verlag New York
8. E.C. Titchmarsh The Theory of the Riemann Zeta-Function second ed. 1986 Oxford Science/Clarendon Oxford revised by D.R. Heath-Brown
9. F.G. Tricomi Integral Equations 1963 Interscience New York
10. G.N. Watson Theory of Bessel Functions 1966 Cambridge Univ. Press
11. E.T. Whittaker G.N. Watson A Course of Modern Analysis fourth ed. 1963 Cambridge Univ. Press