Integral and computational representations of the extended Hurwitz–Lerch zeta function

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Some Generalizations and Basic (or q-) Extensions of the Bernoulli, Euler (2011, background): “1), the interested reader may be referred to several recent works including (for example) [19], [41] and [75] and the references cited in each of these works (see also [13] and [67]).”
The gamma-Lomax distribution (2015, unknown): “Here, (θ)κn = (θ + κn)/ (θ) denotes the generalized Pochhammer symbol, with the convention (θ)0 = 1 (see, also, [18]).”
Some families of Genocchi type polynomials and their interpolation functions (2012, background): “We conclude our present investigation by remarking that the existing literature contains several interesting generalizations and extensions of the Hurwitz–Lerch zeta function (z, s, a) (see, for example, [3,4,23,24,48,55,56] as well as the references to closely-related investigations which are cited”
A New Family of the λ -Generalized Hurwitz-Lerch Zeta Functions with Applications (2014, background): “[36] introduced and systematically studied various properties and results involving a natural multiparameter extension and generalization of the Hurwitz-Lerch zeta function Φ(z,s,a) defined by (1.”