Altınkaya, Şahsenevd.2023-03-142023-03-1420222618-6330https://doi.org/10.3390/sym14091872In this survey-cum-expository work, we primarily seek to study many families of the renowned Hurwitz–Lerch Zeta mapping, including the so-called generalized Hurwitz–Lerch Zeta mappings. The purpose of this study is to examine a new subclass of Hurwitz–Lerch Zeta mappings with negative coefficients in the unit disc U = {z ? C : |z| < 1}. We explore fundamental character istics of the defined class, such as coefficient inequality, neighborhoods, partial sums, and integral means properties.enKinetic theoryFractional equationsNumerical methodsNatural transformHamiltonian dynamicsOnsager reciprocal relationsLipschitz stability in timeOscillation propertiesNeutral differential equationsLyapunov functionsArticle10.3390/sym140918722-s2.0-85138532237N/AWOS:000856935000001Q2