Results 41 to 50 of about 1,242,956 (315)
In this paper, the authors introduce and study a new class of analytic p-valent functions and its connections with some famous subclasses of analytic and univalent functions associated with shell-like curve and modified sigmoid function in the open unit ...
Jamiu Olusegun Hamzat +1 more
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Spacelike convex surfaces with prescribed curvature in (2+1)-Minkowski space [PDF]
We prove existence and uniqueness of solutions to the Minkowski problem in any domain of dependence $D$ in $(2+1)$-dimensional Minkowski space, provided $D$ is contained in the future cone over a point.
Bonsante, Francesco, Seppi, Andrea
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Bounded Functions and Fourier Transforms [PDF]
1. Statement of the principal result. The class of sequences obtainable as Fourier coefficients of measures on the circle group presents numerous structure problems of interest. Amongst the earliest results somewhat akin to that stated below appear Banach's theorems about lacunary coefficients; see e.g., [4, pp. 215-220].
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Slice Holomorphic Functions in Several Variables with Bounded L-Index in Direction
In this paper, for a given direction b ∈ C n \ { 0 } we investigate slice entire functions of several complex variables, i.e., we consider functions which are entire on a complex line { z 0 + t b : t ∈ C } for any z
Andriy Bandura, Oleh Skaskiv
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Density Bounds for Euler's Function [PDF]
Let φ \varphi be Euler’s function. Upper and lower bounds are presented for D ( x ) D(x) , the density of the integers n n for which φ ( n ) / n ≦ x \varphi (n)/n \leqq x . The bounds,
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The group reduction for bounded cosine functions on UMD spaces
It is shown that if A generates a bounded cosine operator function on a UMD space X, then i(-A)^{1/2} generates a bounded C_0-group.
Haase, Markus
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Bounds for automorphicL-functions
Consider a Dirichlet character \(\chi\) of modulus \(q\) and the automorphic \(L\)-function obtained on twisting by \(\chi\) an arbitrary holomorphic cusp form \(f\) of weight \(k\) for the full modular group (although it is stated by the authors that the method of the paper applies more generally).
Iwaniec, H., Duke, W., Frielander, J.
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Research on Bounded Rationality of Fuzzy Choice Functions
The rationality of a fuzzy choice function is a hot research topic in the study of fuzzy choice functions. In this paper, two common fuzzy sets are studied and analyzed in the framework of the Banerjee choice function.
Xinlin Wu, Yong Zhao
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Small values of the Euler function and the Riemann hypothesis
Let $\vfi$ be Euler's function, $\ga$ be Euler's constant and $N_k$ be the product of the first $k$ primes. In this article, we consider the function $c(n) =(n/\vfi(n)-e^\ga\log\log n)\sqrt{\log n}$. Under Riemann's hypothesis, it is proved that $c(N_k)$
Nicolas, Jean-Louis
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Coefficient bounds for convex functions of bounded type [PDF]
A normalized univalent function is called convex of bounded type if the curvature of the curve bounding the image domain of the unit disc lies between two fixed positive numbers. Sharp bounds for the modulus of the second and the third Taylor coefficient of such functions are derived.
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