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A New Representation for Srivastava’s λ-Generalized Hurwitz-Lerch Zeta Functions

A New Representation for Srivastava’s λ-Generalized Hurwitz-Lerch Zeta Functions

Taking inspiration principally from some of the latest research, we develop a new series representation for the λ-generalized Hurwitz-Lerch zeta functions. This representation led to important new results. The Fourier transform played a foundational role in this work. The duality property of the Fourier transform became significant for checking the …