We generalized the concepts in probability of rough Ces$\grave{a}$ro and lacunary statistical by introducing the difference operator $\Delta^{\alpha}_{\gamma}$ of fractional order, where $\alpha$ is a proper fraction and $\gamma=\left(\gamma_{mnk}\right)$
A. Esi, N. Subramanian
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Lower Bounds for Absolutely Convergent Dirichlet Series and Pits Property
This article investigates the lower bounds of analytic functions defined by absolutely convergent Dirichlet series in the left half-plane and establishes conditions under which such functions exhibit the pits property. The study extends classical results
Andriy Bandura +4 more
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On the transfinite density of sequences and its applications to Dirichlet series
For an increasing to $\infty$ sequence $(\lambda_n)$ of positive numbers let $\displaystyle n(t)=\sum\limits_{\lambda_n\le t}1,\ N(x)=\int\nolimits_{0}^{x}\dfrac{n(t)}{t}dt, \ L_k(t)=\sum\limits_{\lambda_n\le t}\prod\limits_{j=0}^{k-1}\dfrac{1}{\ln_j ...
M. M. Sheremeta
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Oxo-Replaced Polyoxometalates: There Is More than Oxygen. [PDF]
Breibeck J, Gumerova NI, Rompel A.
europepmc +1 more source
Recent Advances of Ti/Zr-Substituted Polyoxometalates: From Structural Diversity to Functional Applications. [PDF]
Ni Z, Lv H, Yang G.
europepmc +1 more source
Insight into the Mechanism of Porcine Myofibrillar Protein Gel Properties Modulated by κ-Carrageenan. [PDF]
Chen Z, Luo C, Wang K, Chen Y, Zhuang X.
europepmc +1 more source
Lacunary interpolation for entire functions
Unni, K.R +2 more
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Fluoride-bridged dinuclear dysprosium complex showing single-molecule magnetic behavior: supramolecular approach to isolate magnetic molecules. [PDF]
Wu DF +8 more
europepmc +1 more source
<sup>17</sup>O NMR spectroscopy in polyoxometalate chemistry: advances, challenges, and applications in structure and catalysis. [PDF]
Izuagie T, Lebbie D.
europepmc +1 more source
Lacunary series and the boundary behavior of Bloch functions.
Csordas, George +2 more
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