Some relationships between the generalized Apostol–Bernoulli polynomials and Hurwitz–Lerch Zeta functions

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A New Family of the λ -Generalized Hurwitz-Lerch Zeta Functions with Applications (2014, unknown): “[9] and Lin et al.”
Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials (2007, background): “by Luo and Srivastava, under the name Apostol-Bernoulli polynomials, [ 10 ], [12], [13].”
Some Generalizations and Basic (or q-) Extensions of the Bernoulli, Euler (2011, methodology): “[17] studied the Apostol-Bernoulli polynomials of order α and obtained some new relations and formulas involving the Apostol type polynomials and the Hurwitz (or generalized) zeta function ζ(s, a) defined by (1.”
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”
Integral and computational representations of the extended Hurwitz–Lerch zeta function (2011, unknown): “[8] and Lin et al.”
The multiplication formulas for the Apostol–Bernoulli and Apostol–Euler polynomials of higher order (2009, background): “More investigations about this subject can be found in 6 , 8–11 , 17–20 , 22 and related references.”
A new generalization of the Bernoulli and related polynomials (2010, unknown): “[6], Lin et al.”