New Expansion Formulas for a Family of theλ-Generalized Hurwitz-Lerch Zeta Functions
Copyright policy )New Expansion Formulas for a Family of theλ-Generalized Hurwitz-Lerch Zeta Functions
We derive several new expansion formulas for a new family of theλ-generalized Hurwitz-Lerch zeta functions which were introduced by Srivastava (2014). These expansion formulas are obtained by making use of some important fractional calculus theorems such as the generalized Leibniz rules, the Taylor-like expansions in terms of different functions, and the generalized chain rule. Several (known or new) special cases are also considered.
- Université du Québec à Chicoutimi Canada
- University of Victoria Canada
- University of Quebec Canada
Other functions defined by series and integrals, Hurwitz-Lerch zeta functions, Fractional derivatives and integrals, QA1-939, Hurwitz and Lerch zeta functions, Taylor-like expansions, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), Mathematics
Other functions defined by series and integrals, Hurwitz-Lerch zeta functions, Fractional derivatives and integrals, QA1-939, Hurwitz and Lerch zeta functions, Taylor-like expansions, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), Mathematics
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