Hypergeometric series associated with the Hurwitz-Lerch zeta function
Acta mathematica Universitatis Comenianae, Tome 78 (2009) no. 2
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The present work is sequel to the papers [3] and [4], and it aims at introducing and investigating a new generalized double zeta function involving the Riemann, Hurwitz, Hurwitz-Lerch and Barnes double zeta functions as particular cases. We study its properties, integral representations, differential relations, series expansion and discuss the link with known results.