A procedure for generating infinite series identities
A procedure for generating infinite series identities makes use of the generalized method of exhaustion by analytically evaluating the inner series of the resulting double summation.
Anthony A. Ruffa
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A two-dimensional limit theorem for Lerch zeta-functions. II
We prove a two-dimensional limit theorem for Lerch zeta-functions with transcendental and rational parameters.
Danutė Regina Genienė
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Lack of placental neurosteroid alters cortical development and female somatosensory function. [PDF]
Bakalar D +10 more
europepmc +1 more source
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
europepmc +1 more source
Catalytically active and thermally stable core-shell gold-silica nanorods for CO oxidation. [PDF]
Chen Y +5 more
europepmc +1 more source
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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Placental endocrine function shapes cerebellar development and social behavior. [PDF]
Vacher CM +18 more
europepmc +1 more source
Highly Permeable Fluorinated Polymer Nanocomposites for Plasmonic Hydrogen Sensing. [PDF]
Östergren I +14 more
europepmc +1 more source
On the taylor expansion of the Lerch zeta-function
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 \(a\).
openaire +2 more sources

