Results 21 to 30 of about 56 (56)
Zeros of smallest modulus of functions resembling exp(z)
To determine (in various senses) the zeros of the Laplace transform of a signed mass distribution is of great importance for many problems in classical analysis and number theory. For example, if the mass consists of finitely many atoms, the transform is an exponential polynomial. This survey studies what is known when the distribution is a probability
Kenneth B. Stolarsky
wiley +1 more source
Background – Perianal fistulas are painful ulcers or sinus tracts that disproportionately affect German shepherd dogs and are proposed as a spontaneous animal model of fistulising Crohn's disease. Objectives – To characterise the rectal and cutaneous microbiota in German shepherd dogs with perianal fistulas and to investigate longitudinal shifts with ...
Christine L. Cain +6 more
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
Shapiro’s problem on polynomials with large partial sums of coefficients
Given a polynomial $\sum _\nu a_\nu X^\nu $ of degree $
Marc Technau
doaj +1 more source
Computation of the zeros of a quaternionic polynomial using matrix methods
In a recent paper, Ishfaq Dar (2024), worked on the problem of locating the zeros of quaternion polynomials by introducing various matrix techniques.
N. A. Rather +4 more
doaj +1 more source
A generalization of Lucas′ theorem to vector spaces
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 267-276, 1993.
Neyamat Zaheer
wiley +1 more source
Integral mean estimates for polynomials whose zeros are within a circle
Let P(z) be a polynomial of degree n having all its zeros in |z| ≤ K ≤ 1, then for each δ > 0, p > 1, q > 1 with 1 p + 1 q = 1 , Aziz and Ahmad (Glas Mat Ser III 31:229-237, 1996) proved that n ∫ ...
Shah WM, Singh Gulshan
doaj
Integrating serum microRNAs and electronic health records improved the diagnosis of tuberculosis. [PDF]
Gao SH +8 more
europepmc +1 more source

