A simple reducible case of double hypergeometric series involving Catalan's constant and Riemann's zeta-function

Srivastava, H.M.Miller, Elizabeth A.2010-04-072010-04-0719882010-04-07http://hdl.handle.net/1828/2482It is shown how simply a certain double hypergeometric series can be expressed in terms of Catalan's constant and Riemann's zeta-function. The exact value of an interesting definite integral emerges as a by-product of the analysis presented here.entechnical reports (mathematics and statistics)A simple reducible case of double hypergeometric series involving Catalan's constant and Riemann's zeta-functionTechnical ReportDepartment of MathematicsDepartment of Mathematics and Statistics