Results 41 to 50 of about 1,242,956 (315)

ON A COMPREHENSIVE CLASS OF ANALYTIC P-VALENT FUNCTIONS ASSOCIATED WITH SHELL-LIKE CURVE AND MODIFIED SIGMOID FUNCTION

open access: yesMalaysian Journal of Computing, 2022
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
doaj   +1 more source

Spacelike convex surfaces with prescribed curvature in (2+1)-Minkowski space [PDF]

open access: yes, 2016
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
core   +2 more sources

Bounded Functions and Fourier Transforms [PDF]

open access: yesProceedings of the American Mathematical Society, 1958
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].
openaire   +1 more source

Slice Holomorphic Functions in Several Variables with Bounded L-Index in Direction

open access: yesAxioms, 2019
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
doaj   +1 more source

Density Bounds for Euler's Function [PDF]

open access: yesMathematics of Computation, 1972
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,
openaire   +2 more sources

The group reduction for bounded cosine functions on UMD spaces

open access: yes, 2007
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
core   +1 more source

Bounds for automorphicL-functions

open access: yesInventiones Mathematicae, 1993
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.
openaire   +1 more source

Research on Bounded Rationality of Fuzzy Choice Functions

open access: yesThe Scientific World Journal, 2014
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
doaj   +1 more source

Small values of the Euler function and the Riemann hypothesis

open access: yes, 2012
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
core   +3 more sources

Coefficient bounds for convex functions of bounded type [PDF]

open access: yesProceedings of the American Mathematical Society, 1988
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.
openaire   +2 more sources

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