Results 71 to 80 of about 3,758 (193)
The Cotangent Function as an Avatar of the Polylogarithm Function of Order 0 and Ramanujan’s Formula
AxiomsIn this paper we will be concerned with zeta-symmetry—the functional equation for the (Riemann) zeta-function (equivalents to which are called modular relations)—and reveal the reason why so many results are intrinsic to PFE (Partial Fraction Expansion ...
Ruiyang Li +2 more
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Limiting Values and Functional and Difference Equations
Mathematics, 2020 Boundary behavior of a given important function or its limit values are essential in the whole spectrum of mathematics and science. We consider some tractable cases of limit values in which either a difference of two ingredients or a difference equation ...
N.-L. Wang +2 more
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Human Brain Mapping, Volume 47, Issue 8, June 1, 2026.Ultra‐high field imaging provides evidence that complex MSL induces GM increases that are driven by synaptogenesis for initial encoding and myelogenesis for later learning, consolidation in left SPC. However, habituating to a simple repeated task leads to GM decreases in these regions, likely due to attenuated blood flow.
Jhelum Paul +7 more
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Generalizations of the Lerch zeta function. [PDF]
The Lerch zeta function is a three-variable generalization of the Riemann zeta function and the Hurwitz zeta function. In this thesis, we study generalizations and analogues of the Lerch zeta function. Our approaches proceed along three directions: local,
Ngo, Hieu T.
core
Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function
Moroccan Journal of Pure and Applied Analysis, 2015 In the present paper, we give sufficient conditions for a function f to be in the subclasses ΣS*a,s (A. B, α, β) and ΣKa,s (A, B, α, β) of the class Σ of meromorphic functions which are analytic in the punctured unit disk U*.
Srivastava H. M., Gaboury S., Ghanim F.
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Diversity of Resilin Incidence in the Insect Leg
Journal of Morphology, Volume 287, Issue 6, June 2026.Resilin incidences in the insect cuticle are commonly detected by fluorescence microscopy using the property of Resilin protein matrices to emit blue light after excitation with UV light. This indirect method produces significant background signal.
Steven Lerch, Bernard Moussian
wiley +1 more source
, 2021 In this manuscript, the authors derive a double integral whose kernel involves the logarithmic function a polynomial raised to a power and a quotient function expressed it in terms of the Lerch function.
Robert Reynolds, Allan Stauffer
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Water Resources Research, Volume 62, Issue 6, June 2026.Abstract Interbasin groundwater flow (IGF) is increasingly recognized as an important but difficult‐to‐diagnose component of regional groundwater flow systems. Recent studies highlight that major rifts within the Yarlung Zangbo River Basin (YZRB) may facilitate IGF, but the role of all six major rifts remains unclear.
Jianxin Chen +6 more
wiley +1 more source
Value distribution theorems for the Lerch zeta-function.
, 2019 The Lerch zeta-function defined, for sigma greater than 1, by the Dirichlet series and by analytic continuation elsewhere, is investigated. The main attention is devoted to the universality of the Lerch zeta-function i.e., to approximation of analytic ...
Mincevič, Asta,
core
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 3, June 2026.Abstract Atmosphere‐ocean‐land coupled forecasting systems, despite their comprehensiveness, face substantial challenges in the “predictability desert” at subseasonal to seasonal (S2S) timescales, particularly for precipitation—a variable crucial for socioeconomic activities yet of stunning spatiotemporal variance. Post‐processing methods developed for
Wen Shi +9 more
wiley +1 more source