Certain inequalities for the modified Bessel-type function
We establish some new inequalities for the modified Bessel-type function λν,σ(β)(x) $\lambda _{\nu ,\sigma }^{(\beta )} (x )$ studied by Glaeske et al. [in J. Comput. Appl. Math.
Min-Jie Luo, Ravinder Krishna Raina
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Nanofluidic Trapping of Faceted Colloidal Nanocrystals for Parallel Single-Particle Catalysis. [PDF]
Levin S +10 more
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Joint universality for Lerch zeta-functions
For $01$. In this paper, we prove joint universality for Lerch zeta-functions with distinct $λ_1,\ldots,λ_m$ and transcendental $α$.
LEE, Yoonbok +2 more
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Catalytically active and thermally stable core-shell gold-silica nanorods for CO oxidation. [PDF]
Chen Y +5 more
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Approximate functional equations for the Hurwitz and Lerch zeta-functions
As one of the asymptotic formulas for the zeta-function, Hardy and Littlewood gave asymptotic formulas called the approximate functional equation. In 2003, R. Garunkštis, A. Laurinčikas, and J. Steuding (in [1]) proved the Riemann-Siegel type of the approximate functional equation for the Lerch zeta-function $ ζ_L (s, α, λ) = \sum_{n=0}^\infty e^{2πi n
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Placental endocrine function shapes cerebellar development and social behavior. [PDF]
Vacher CM +18 more
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Evaluation of integrals with hypergeometric and logarithmic functions
We provide an explicit analytical representation for a number of logarithmic integrals in terms of the Lerch transcendent function and other special functions.
Sofo Anthony
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Highly Permeable Fluorinated Polymer Nanocomposites for Plasmonic Hydrogen Sensing. [PDF]
Östergren I +14 more
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Certain Integral Operator Related to the Hurwitz–Lerch Zeta Function
The aim of the present paper is to investigate several third-order differential subordinations, differential superordination properties, and sandwich-type theorems of an integral operator Ws,bf(z) involving the Hurwitz–Lerch Zeta function.
Zhi-Ren Wang, Xiao-Yuan Wang, Lei Shi
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Robustness of Network Controllability with Respect to Node Removals Based on In-Degree and Out-Degree. [PDF]
Wang F, Kooij RE.
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