Results 171 to 180 of about 550,652 (221)
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Journal of Mathematical Analysis and Applications, 2020
Abstract Using the Hurwitz zeta and the alternating Hurwitz zeta function, ζ ( s , a ) and ζ ⁎ ( s , a ) , it was shown through classical analysis and in a straightforward and unified manner that a s ζ ( s , a ) with a > 0 and s > 1 is strictly log-convex in s on ( 1 ...
D. Cvijovic
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Abstract Using the Hurwitz zeta and the alternating Hurwitz zeta function, ζ ( s , a ) and ζ ⁎ ( s , a ) , it was shown through classical analysis and in a straightforward and unified manner that a s ζ ( s , a ) with a > 0 and s > 1 is strictly log-convex in s on ( 1 ...
D. Cvijovic
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On the Poincaré expansion of the Hurwitz zeta function
Lithuanian Mathematical Journal, 2021In this paper, we extend the result of Paris [R.B. Paris, The Stokes phenomenon associated with the Hurwitz zeta function ζ(s, a), Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 461(2053):297–304, 2005] on the exponentially improved expansion of the Hurwitz zeta function ζ(s, z), the expansion of which can be reduced to the large-z Poincare ...
B. Fejzullahu
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On multiple Hurwitz zeta function of Mordell–Tornheim type
International Journal of Number Theory, 2021We introduce a certain multiple Hurwitz zeta function as a generalization of the Mordell–Tornheim multiple zeta function, and study its analytic properties. In particular, we evaluate the values of the function and its first and second derivatives at non-
K. Onodera
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Zeros of the Riemann zeta-function in the discrete universality of the Hurwitz zeta-function
Studia scientiarum mathematicarum Hungarica (Print), 2020Let 0 < γ1 < γ2 < ··· ⩽ ··· be the imaginary parts of non-trivial zeros of the Riemann zeta-function. In the paper, we consider the approximation of analytic functions by shifts of the Hurwitz zeta-function ζ(s + iγkh, α), h > 0, with parameter α such ...
A. Laurinčikas
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On the Hurwitz—Lerch zeta-function
Aequationes Mathematicae, 2000Let \( \Phi(z,s,\alpha) = \sum\limits^\infty_{n = 0} {z^n \over (n + \alpha)^s} \) be the Hurwitz-Lerch zeta-function and \( \phi(\xi,s,\alpha)=\Phi(e^{2\pi i\xi},s,\alpha) \) for \( \xi\in{\Bbb R} \) its uniformization. \( \Phi(z,s,\alpha) \) reduces to the usual Hurwitz zeta-function \( \zeta(s,\alpha) \) when z= 1, and in particular \( \zeta(s ...
Masami Yoshimoto +2 more
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