A New Representation for Srivastava’s λ-Generalized Hurwitz-Lerch Zeta Functions
Copyright policy )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 consistency of the results. Some known data has been verified as special cases of the results obtained in this investigation.
- Majmaah University Saudi Arabia
generalized functions, analytic number theory, Hurwitz and Lerch zeta functions, \(\lambda\)-generalized Hurwitz-Lerch zeta functions, derivative properties, λ-generalized Hurwitz-Lerch zeta functions, series representation, Hurwitz-Lerch zeta function
generalized functions, analytic number theory, Hurwitz and Lerch zeta functions, \(\lambda\)-generalized Hurwitz-Lerch zeta functions, derivative properties, λ-generalized Hurwitz-Lerch zeta functions, series representation, Hurwitz-Lerch zeta function
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