Results 11 to 20 of about 344 (61)
Results on analytic functions defined by Laplace-Stieltjes transforms with perfect ϕ-type
In this paper, we introduce the concept of the perfect ϕ\phi -type to describe the growth of the maximal molecule of Laplace-Stieltjes transform by using the more general function than the usual.
Liu Simin +3 more
doaj +1 more source
Reconstruction of Bandlimited Functions from Unsigned Samples [PDF]
We consider the recovery of real-valued bandlimited functions from the absolute values of their samples, possibly spaced nonuniformly. We show that such a reconstruction is always possible if the function is sampled at more than twice its Nyquist rate ...
B.Ya. Levin +15 more
core +1 more source
Inequalities for a polynomial and its derivative
For a polynomial p(z) of degree n which has no zeros in |z|r≥1 and |z|=1. In this paper, we extend the above inequality for the polynomials having no zeros in |z|
A. Zireh
semanticscholar +1 more source
Background– Pseudomonas aeruginosa (PA) may cause suppurative otitis externa with severe inflammation and ulceration in dogs. Multidrug resistance is commonly reported for this organism, creating a difficult therapeutic challenge. Objective– The aim of this study was to evaluate the in vitro antimicrobial activity of a gel containing 0.5 µg/mL of ...
Giovanni Ghibaudo +6 more
wiley +1 more source
On the number of zeros of iterated operators on analytic Legendre expansions
Let L = (1 − z2)D2 − 2zD, D = d/dz and f(z)=∑n=0∞cnpn(z), with Pn being the nth Legendre polynomial and f analytic in an ellipse with foci ±1. Set Lk = L(Lk−1), k ≥ 2. Then the number of zeros of Lkf(z) in this ellipse is O(klnk).
Carl Prather
wiley +1 more source
It is shown that, if all weak solutions of the evolution ...
Markin Marat V.
doaj +1 more source
Note on the zeros of functions with univalent derivatives
Let E denote the class of functions f(z) analytic in the unit disc D, normalized so that f(0) = 0 = f′(0) − 1, such that each f(k)(z), k ≥ 0 is univalent in D. In this paper we establish conditions for some functions to belong to class E.
Mohammad Salmassi
wiley +1 more source
The second coefficient of a function with all derivatives univalent
We consider the second coefficient of a class of functions, univalent and normalized, and with all derivatives univalent in the unit disk D, and improve on a known result. It is also shown that this bound is in a sense best possible.
A. Sathaye, S. M. Shah
wiley +1 more source
Yet another characterization of the sine function
In this expository paper, it is shown that if an entire function of exponential type vanishes at least once in the complex plane and if it has exactly the same number of zeros (counting multiplicities) as its second derivative, then this function must take the form Asin(Bz + C).
Robert Gervais, Lee A. Rubel
wiley +1 more source

