Results 41 to 50 of about 387,708 (163)

Zeros of Bessel function derivatives

, 2016
We prove that for $\nu>n-1$ all zeros of the $n$th derivative of Bessel function of the first kind $J_{\nu}$ are real and simple. Moreover, we show that the positive zeros of the $n$th and $(n+1)$th derivative of Bessel function of the first kind $J_{\nu}
Baricz, Árpád, Kokologiannaki, Chrysi G., Pogány, Tibor K.   +2 more
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REFINEMENT OF ERD ¨OS-LAX INEQUALITY FOR N-OPERATOR

Проблемы анализа
Let 𝒫_𝑛 be the space of all polynomials of degree less than or equal to 𝑛. In this paper, we establish a refinement of Erd¨os-Lax inequality in which the classical derivative (as an operator on 𝒫_𝑛) is replaced by a 𝐵𝑛 operator.
F. A. Bhat
doaj   +1 more source

Statistics or biology: the zero-inflation controversy about scRNA-seq data

Genome Biology, 2022
Researchers view vast zeros in single-cell RNA-seq data differently: some regard zeros as biological signals representing no or low gene expression, while others regard zeros as missing data to be corrected.
Ruochen Jiang, Tianyi Sun, Dongyuan Song, Jingyi Jessica Li   +3 more
doaj   +1 more source

An investigation of the non-trivial zeros of the Riemann zeta function

, 2020
The zeros of the Riemann zeta function outside the critical strip are the so-called trivial zeros. While many zeros of the Riemann zeta function are located on the critical line $\Re(s)=1/2$, the non-existence of zeros in the remaining part of the ...
Heymann, Yuri
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Zeros of Green functions in topological insulators

Physical Review Research, 2022
This study demonstrates that the zeros of the diagonal components of Green functions are key quantities that can detect noninteracting topological insulators. We show that zeros of the Green functions traverse the band gap in the topological phases.
Takahiro Misawa, Youhei Yamaji
doaj   +1 more source

Lee-Yang zeros and phase transitions in nonequilibrium steady states

, 2002
We consider how the Lee-Yang description of phase transitions in terms of partition function zeros applies to nonequilibrium systems. Here one does not have a partition function, instead we consider the zeros of a steady-state normalization factor in the
B. Derrida, B. Derrida, B. Derrida, B. Schmittmann, C. T. MacDonald, D. Chowdhury, G. Schütz, H. Hinrichsen, M. R. Evans, M. E. Fisher, M. R. Evans, R. A. Blythe, R. Stinchcombe, R. A. Blythe, S. Grossmann, S. Grossmann, S. M. Dammer, T. Sasamoto   +17 more
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Spectral Analysis of Certain Schrödinger Operators

Symmetry, Integrability and Geometry: Methods and Applications, 2012
The J-matrix method is extended to difference and q-difference operators and is applied to several explicit differential, difference, q-difference and second order Askey-Wilson type operators.
Mourad E.H. Ismail, Erik Koelink
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How constant shifts affect the zeros of certain rational harmonic functions

, 2018
We study the effect of constant shifts on the zeros of rational harmomic functions $f(z) = r(z) - \conj{z}$. In particular, we characterize how shifting through the caustics of $f$ changes the number of zeros and their respective orientations.
Liesen, Jörg, Zur, Jan
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Refinements of inequalities on extremal problems of polynomials

Open Mathematics
Let H(z) be a polynomial of degree n, and for any complex number α, let D α H(z) = nH(z) + (α − z)H′(z) denote the polar derivative of H(z) with respect to α.
Devi Maisnam Triveni, Singh Thangjam Birkramjit, Chanam Barchand   +2 more
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Location of the Zeros of Certain Complex-Valued Harmonic Polynomials

Journal of Mathematics, 2022
Finding the approximate region containing all the zeros of analytic polynomials is a well-studied problem. But the number of the zeros and regions containing all the zeros of complex-valued harmonic polynomials is relatively a fresh research area.
Hunduma Legesse Geleta, Oluma Ararso Alemu   +1 more
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