Results 91 to 100 of about 2,163 (157)
Placental endocrine function shapes cerebellar development and social behavior. [PDF]
Nat Neurosci, 2021 Vacher CM +18 more
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Highly Permeable Fluorinated Polymer Nanocomposites for Plasmonic Hydrogen Sensing. [PDF]
ACS Appl Mater Interfaces, 2021 Östergren I +14 more
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Robustness of Network Controllability with Respect to Node Removals Based on In-Degree and Out-Degree. [PDF]
Entropy (Basel), 2023 Wang F, Kooij RE.
europepmc +1 more source
Evaluation of integrals with hypergeometric and logarithmic functions
Open Mathematics, 2018 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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On the taylor expansion of the Lerch zeta-function
Journal of Mathematical Analysis and Applications, 1992 The Lerch zeta function is the analytic continuation in the complex \(s\) plane of the series \[ L(x,a,s)=\sum_{n\geq 0}\exp\{2\pi inx\}(n+a)^{- s}, \] where \(x\) and \(a\) are real parameters. Properties of this function are deduced from its Taylor expansion in the parameter \(a\).
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Effect of different silica coatings on the toxicity of upconversion nanoparticles on RAW 264.7 macrophage cells. [PDF]
Beilstein J Nanotechnol, 2021 Kembuan C, Oliveira H, Graf C.
europepmc +1 more source
``Almost'' universality of the Lerch zeta-function
Mathematical Communications, 2019 Summary: The Lerch zeta-function \(L(\lambda,\alpha,s)\) with transcendental parameter \(\alpha\), or with rational parameters \(\alpha\) and \(\lambda\) is universal, i.e., a wide class of analytic functions is approximated by shifts \(L(\lambda,\alpha,s+i\tau)\), \(\tau \in \mathbb{R}\). The case of algebraic irrational \(\alpha\) is an open problem.
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A new extension of Hurwitz-Lerch Zeta function
, 2018 The main objective of this paper is to introduce a new extension of Hurwitz-Lerch Zeta function in terms of extended beta function. We then investigate its important properties such as integral representations, differential formulas, Mellin transform and certain generating relations.
Rahman, Gauhar +2 more
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