Hurwitz Zeta Function Is Prime
Mathematics, 2023 We proved that the Hurwitz zeta function is prime. In addition, we derived the Nevanlinna characteristic for this function.
Marius Dundulis +3 more
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Extended Wang sum and associated products. [PDF]
PLoS ONE, 2022 The Wang sum involving the exponential sums of Lerch's Zeta functions is extended to the finite sum of the Huwitz-Lerch Zeta function to derive sums and products involving cosine and tangent trigonometric functions.
Robert Reynolds, Allan Stauffer
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Mathematics, 2021 In this paper, we further study the generating function involving a variety of special numbers and ploynomials constructed by the second author. Applying the Mellin transformation to this generating function, we define a new class of zeta type functions,
Daeyeoul Kim, Yilmaz Simsek
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A note on a generalized double series. [PDF]
PLoS ONEBy employing contour integration the derivation of a generalized double finite series involving the Hurwitz-Lerch zeta function is used to derive closed form formulae in terms of special functions.
Robert Reynolds
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New Result of Analytic Functions Related to Hurwitz Zeta Function [PDF]
The Scientific World Journal, 2013 By using a linear operator, we obtain some new results for a normalized analytic function f defined by means of the Hadamard product of Hurwitz zeta function. A class related to this function will be introduced and the properties will be discussed.
F. Ghanim, M. Darus
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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
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Calpeptin Reduces Extracellular Vesicle Secretion and Induces Anti-Inflammatory Effects but Upregulates HO-1 and Alters Adiponectin Levels in Human Adipocytes. [PDF]
J Extracell BiolABSTRACT Recent studies have shown that adipose tissue (AT) secretes elevated levels of extracellular vesicles (EVs) in obesity, and these EVs play roles in metabolic diseases. The inhibition of calpains has anti‐inflammatory and anti‐fibrotic effects on AT in mice and reduces EV secretion in some cell types in vitro.
Matilainen J +18 more
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A Series Representation for the Hurwitz–Lerch Zeta Function [PDF]
Axioms, 2021 We derive a new formula for the Hurwitz–Lerch zeta function in terms of the infinite sum of the incomplete gamma function. Special cases are derived in terms of fundamental constants.
Robert Reynolds, Allan Stauffer
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Subordination Properties of Meromorphic Kummer Function Correlated with Hurwitz–Lerch Zeta-Function
Mathematics, 2021 Recently, Special Function Theory (SPFT) and Operator Theory (OPT) have acquired a lot of concern due to their considerable applications in disciplines of pure and applied mathematics.
Firas Ghanim +3 more
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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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