Srivastava H.M.Şahin R.Yağci O.2021-01-142021-01-1420201787-2405https://doi.org/10.18514/MMN.2020.3059https://hdl.handle.net/20.500.12587/12984Inspired essentially by the work [H. M. Srivastava, M. A. Chaudhry and R. P. Agarwal [The incomplete Pochhammer symbols and their applications to hypergeometric and related functions, Integral Transforms Spec. Funct. 23 (2012), 659-683] (see [16])], we introduce the families of the incomplete Hurwitz-Lerch Zeta functions of two variables. We then give the integral representations including the Mellin-Barnes contour integral representation, summation formulas, derivative formulas and recurrence relations for the incomplete Hurwitz-Lerch Zeta functions of two variables. © 2020 Miskolc University Press.eninfo:eu-repo/semantics/openAccessAppell hypergeometric functionBeta functionDerivative formulasGamma functionHumbert hypergeometric functions of two variablesHurwitz-lerch zeta functionHurwitz-lerch zeta function of two variablesIncomplete appell hypergeometric functionsIncomplete confluent hypergeometric functionsIncomplete gamma functionsIncomplete pochhammer symbolsIntegral representationsMellin-Barnes integral formulaPochhammer symbolRecurrence relationSummation formulaArticle21140141510.18514/MMN.2020.30592-s2.0-85089474009Q2WOS:000546781400001Q2