Hypergeometric series associated with the Hurwitz-Lerch zeta function
Acta mathematica Universitatis Comenianae, Tome 78 (2009) no. 2
M.G. Bin-Saad. Hypergeometric series associated with the Hurwitz-Lerch zeta function. Acta mathematica Universitatis Comenianae, Tome 78 (2009) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2009_78_2_a11/
@article{AMUC_2009_78_2_a11,
     author = {M.G. Bin-Saad},
     title = {Hypergeometric series associated with the {Hurwitz-Lerch} zeta function},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2009},
     volume = {78},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2009_78_2_a11/}
}
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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.