Results 11 to 20 of about 344 (61)

Results on analytic functions defined by Laplace-Stieltjes transforms with perfect ϕ-type

open access: yesOpen Mathematics, 2020
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]

open access: yes, 2010
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

open access: yesJournal of Inequalities and Applications, 2012
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

In vitro antimicrobial activity of a gel containing antimicrobial peptide AMP2041, chlorhexidine digluconate and Tris‐EDTA on clinical isolates of Pseudomonas aeruginosa from canine otitis

open access: yesVeterinary Dermatology, Volume 27, Issue 5, Page 391-e98, October 2016., 2016
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 8, Page 461-467, 2001., 2001
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

Note on the zeros of functions with univalent derivatives

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 1, Page 81-88, 1986., 1983
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 2, Page 281-288, 1982., 1981
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 2, Page 371-381, 1981., 1981
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

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