engleski

Integral expressions for Hilbert-type infinite multilinear form and related multiple Hurwitz-Lerch Zeta functions

The article deals with different kinds integral expressions concerning multiple Hurwitz-Lerch Zeta function (introduced originally by Barnes [4]), Hilbert-type infinite multilinear form and its power series extension. Here Laplace integral forms and multiple Mellin-Barnes type integral representation are derived for these special functions. As a special cases of our investigati- ons we deduce the integral expressions for the Matsumoto's multiple Mordell-Tornheim Zeta function, that is, for Tornheim's double sum i.e. Mordell-Witten Zeta, for the multiple Hurwitz Zeta and for the multiple Hurwitz-Euler Eta function, recently studied by Choi and Srivastava [22].

Multiple Hurwitz-Lerch Zeta function ; Hilbert-type infinite multilinear form ; Multiple Hurwitz-Lerch Zeta power series ; Tornheim's double sum ; Mordell-Witten Zeta function ; Matsumoto's multiple Mordell-Tornheim Zeta function ; Dirichlet-series ; Cahen's Laplace integral formula ; Mellin-Barnes type integral

nije evidentirano