A new representation for Srivastava's \(\lambda\)-generalized Hurwitz-Lerch zeta functions (Q2337874)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new representation for Srivastava's \(\lambda\)-generalized Hurwitz-Lerch zeta functions |
scientific article |
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A new representation for Srivastava's \(\lambda\)-generalized Hurwitz-Lerch zeta functions (English)
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20 November 2019
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Summary: Taking inspiration principally from some of the latest research, we develop a new series representation for the \(\lambda\)-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.
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generalized functions
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\(\lambda\)-generalized Hurwitz-Lerch zeta functions
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derivative properties
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series representation
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