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Following our earlier research, we use the method introduced by the author in Prévost (J Comput Appl Math 67(2):219–235, 1996) named Remainder Padé Approximant in Prévost (Constr Approx 25(1):109–123, 2007), to construct… Click to show full abstract
Following our earlier research, we use the method introduced by the author in Prévost (J Comput Appl Math 67(2):219–235, 1996) named Remainder Padé Approximant in Prévost (Constr Approx 25(1):109–123, 2007), to construct approximations of the Hurwitz zeta function. We prove that these approximations are convergent on the positive real line. Applications to new rational approximations of $$\zeta (2)$$ζ(2) and $$\zeta (3)$$ζ(3) are provided.
Keywords:
zeta function;
hurwitz zeta;
approximants hurwitz;
remainder pad;
pad approximants
Journal Title: Results in Mathematics
Year Published: 2019
Link to full text (if available)
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Journal Title: Results in Mathematics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!