Results 291 to 300 of about 7,369,874 (310)

On Nnc Z*-open and Nnc Z*-closed functions

AIP Conference Proceedings, 2021
The aim of this paper is to introduce NncZ*-open and NncZ*-closed functions and investigate properties and characterizations of these new types of functions.
A. Gobikrishnan, A. Vadivel, K. Balasubramaniyan   +2 more
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On the integral of Hardy's function $ Z(t)$ [PDF]

Izvestiya: Mathematics, 2008
We prove asymptotic formulae for the values of the integral of Hardy's function at special points and obtain an omega-theorem and an upper bound for the integral of that are sharp with respect to the rate of growth.
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The Selberg Z-Function and the Lindelöf Conjecture

Journal of Mathematical Sciences, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Selberg Z-Function. Local Approach

Journal of Mathematical Sciences, 2002
The Selberg \(Z\)-function is defined by \[ Z_{m,n}(s)=\sum_{c=1}^\infty\frac{S(m, n; c)}{c^{2s}},\quad\Re s>3/4, \] where \(S(m, n; c)\) is the Kloosterman sum. \textit{A. Selberg} [Proc. Sympos. Pure Math. 8, 1--15 (1965; Zbl 0142.33903)] extended this function to the half-plane \(\Re s\leq3/4\). \textit{D. Goldfeld} and \textit{P.
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The Functions exp(z), log(z), sin(z) and cos(z) for z ∈ ℂ

2004
In this chapter we extend some of the elementary functions to complex arguments. We recall that we can write a complex number z in the form z = ∣z∣(cos(θ) + i sin(θ)) with θ = arg z the argument of z, and 0 ≤ θ = Arg z < 2π the principal argument of z.
Donald Estep, Claes Johnson, Kenneth Eriksson   +2 more
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Functions of the Complex Variable z

2010
We wish to examine the notion of a “function of z” where z is a complex variable. To be sure, a complex variable can be viewed as nothing but a pair of real variables so that in one sense a function of z is nothing but a function of two real variables. This was the point of view we took in the last section in discussing continuous functions.
Donald J. Newman, Joseph Bak
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On the Convolution Powers of Complex Functions on $$\mathbb {Z}$$ Z

Journal of Fourier Analysis and Applications, 2015
The local limit theorem describes the behavior of the convolution powers of a probability distribution supported on $$\mathbb {Z}$$ .
Evan Randles, Laurent Saloff-Coste
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On the functional \(zf'(z)/f(z)\) over functions with positive real part

1993
The author gives an explicit description of the range of \({zf'(z)\over f(z)}\), where \(z\) is fixed, \(|z|
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Metaphysics Z.11 and Functionalism

2013
Aristotle’s dialectical flirtation with compositional plasticity regarding humans in Metaphysics, Z.11 would appear to lend support to the claim that he subscribes to the idea that humans are functional kinds that supervene on their material constituents, more specifically that he subscribes to the idea that psychological states are functional states ...
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