Results 101 to 110 of about 2,186 (164)
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.
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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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``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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Fuzzy Subordination Results for Meromorphic Functions Associated with Hurwitz–Lerch Zeta Function
MathematicsThe notion of the fuzzy set was incorporated into geometric function theory in recent years, leading to the emergence of fuzzy differential subordination theory, which is a generalization of the classical differential subordination notion.
Ekram E. Ali +4 more
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Functional distribution for a collection of Lerch zeta functions
Journal of the Mathematical Society of Japan, 2014 Let \(L(\lambda ,\alpha ,s)=\sum _{n=0}^{\infty }\frac{e^{2\pi {\kern 1pt} i\lambda n{\kern 1pt} } }{(n+\alpha )^{s} } \) be the Lerch zeta function. Motivated by some results of \textit{A. Laurinčikas} [Lith. Math. J. 37, No. 3, 275--280 (1997); translation from Liet. Mat. Rink. 37, No.
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Joint discrete universality for Lerch zeta-functions
, 2018 Summary: After \textit{S. M. Voronin}'s work of [Math. USSR, Izv. 9, 443--453 (1976); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 39, 475--486 (1975; Zbl 0315.10037)], it is known that some of zeta and \(L\)-functions are universal in the sense that their shifts approximate a wide class of analytic functions.
Laurinčikas, Antanas, Mincevič, Asta
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Approximation of analytic functions by generalized shifts of the Lerch zeta-function
Mathematical Modelling and AnalysisIn the paper, we approximate analytic functions by generalized shifts of the Lerch zeta-function, where g is a certain increasing to real function having a monotonic derivative. We prove that, for arbitrary parameters λ and α, there exists a closed set
Aidas Balčiūnas +2 more
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Transcriptome-Based WGCNA Analysis Reveals Regulated Metabolite Fluxes between Floral Color and Scent in Narcissus tazetta Flower. [PDF]
Int J Mol Sci, 2021 Yang J +8 more
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