Analytic study and statistical enforcement of extended beta functions imposed by Mittag-Leffler and Hurwitz-Lerch Zeta functions [PDF]
MethodsXSpecial Function Theory is used in many mathematical fields to model scientific progress, from theoretical to practical. This helps efficiently analyze the newly expanded Beta class of functions on a complicated domain.
Faten F. Abdulnabi +2 more
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Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function
Abstract and Applied Analysis, 2013 By making use of some explicit relationships between the Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi, and Apostol-Frobenius-Euler polynomials of higher order and the generalized Hurwitz-Lerch zeta function as well as a new expansion formula for ...
S. Gaboury, A. Bayad
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New inequalities for the Hurwitz zeta function
Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2009 We establish various new inequalities for the Hurwitz zeta function.
Necdet Batir
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Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function
MathematicsThe findings of this study are connected with geometric function theory and were acquired using subordination-based techniques in conjunction with the Hurwitz–Lerch Zeta function.
Ekram E. Ali +3 more
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The Hurwitz Zeta Function as a Convergent Series
Rocky Mountain Journal of Mathematics, 2006 New series for the Hurwitz zeta function which converge on the whole plane, except s = 1, are developed.
Dwilewicz, Roman, Minac, Jan
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A probability distribution associated with the Hurwitz zeta function [PDF]
Proceedings of the American Mathematical Society, 1987 A new discrete probability distribution is defined in terms of the Hurwitz zeta function and its relationship to the Poisson distribution is demonstrated.
R. L. Duncan
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Error bounds for the asymptotic expansion of the Hurwitz zeta function [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2017 Gergo Nemes
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Size Scaling of the Electrochemical Performance of Ti<sub>3</sub>C<sub>2</sub>T<sub>x</sub> MXene Microelectrode Arrays for Electrophysiological Recording and Stimulation. [PDF]
SmallThis study evaluates Ti3C2Tx MXene‐based microelectrodes across a range of diameters (25–500 µm) and elucidates their recording and stimulation capabilities for bioelectronic applications. Several electrochemical measurements—supported further by equivalent‐circuit modeling—revealed enhanced recording and stimulation capabilities of the MXene ...
Averbeck SR +6 more
europepmc +2 more sources
An approximation of the Hurwitz zeta function by a finite sum
Lietuvos Matematikos Rinkinys, 2003 We obtain the following version of the approximation of the Hurwitz zeta-function. Let σ ≥ 0 and |t| ≤ π x. Then ζ(s, α) = ∑0 ≤ n ≤ x 1/(n + α)s +{ (x + α)1−s}/(s − 1) + Θ ({7√2π−1 + 3}/xσ).
Ramūnas Garunkštis
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Hyaluronic Acid Decoration Facilitates CD44-Mediated Targeting and Alters Protein Corona Formation of Extracellular Vesicles. [PDF]
J Extracell VesiclesABSTRACT Cell recognition and uptake of extracellular vesicles (EVs) is mediated by a variety of surface molecules. Growing interest has recently been drawn towards glycan structures on EVs. Hyaluronic acid (HA) is a negatively charged glycosaminoglycan that can decorate the surface of EVs from different origins.
Kyykallio H +10 more
europepmc +2 more sources