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Meromorphic Functions Sharing a Small Function [PDF]

open access: yesAbstract and Applied Analysis, 2007
We will study meromorphic functions that share a small function, and prove the following result: let f(z) and g(z) be two transcendental meromorphic functions in the complex plane and let n≥11 be a positive integer. Assume that a(z)(≢0) is a common small
Songmin Wang, Zongsheng Gao
doaj   +5 more sources

Unicity of Meromorphic Function Sharing One Small Function with Its Derivative

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2010
We deal with the problem of uniqueness of a meromorphic function sharing one small function with its k's derivative and obtain some results.
Ang Chen, Xiuwang Wang, Guowei Zhang
doaj   +2 more sources

Small Nucleolar RNAs: Insight Into Their Function in Cancer

open access: yesFrontiers in Oncology, 2019
Small nucleolar RNAs (SnoRNAs) are a class of non-coding RNAs divided into two classes: C/D box snoRNAs and H/ACA box snoRNAs. The canonical function of C/D box and H/ACA box snoRNAs are 2'-O-ribose methylation and pseudouridylation of ribosomal RNAs ...
Junnan Liang   +5 more
doaj   +2 more sources

RAMANUJAN'S FUNCTION ON SMALL PRIMES

open access: gold
We study matrices the determinants of which represent $τ(p_n)$, where $τ$ is Ramanujan's function and $p_n$ denotes the $n^{th} rational prime. We also look at certain ``deformations'' of these matrices that exhibit nice regularities within the limited range of our empirical observations.
Brent, Barry
openalex   +3 more sources

Computing the gluon Sivers function at small-x

open access: diamondPhysics Letters B, 2019
We compute the gluon Sivers function f1T⊥g(x,k⊥) of the transversely polarized nucleon at small-x by exploiting the known connection between the dipole gluon Sivers function and the Odderon.
Xiaojun Yao   +2 more
doaj   +2 more sources

A power of a meromorphic function sharing two small functions with a derivative of the power [PDF]

open access: yesMathematica Bohemica, 2022
In connection to a conjecture of W. Lü, Q. Li and C. Yang (2014), we prove a result on small function sharing by a power of a meromorphic function with few poles with a derivative of the power. Our results improve a number of known results.
Lahiri Indrajit, Sujoy Majumder
doaj   +1 more source

Two meromorphic functions on annuli sharing some pairs of small functions or values

open access: yesAIMS Mathematics, 2021
In this paper, we prove that two admissible meromorphic functions on an annulus must be linked by a quasi-Möbius transformation if they share some pairs of small function with multiplicities truncated by 4.
Hongzhe Cao
doaj   +1 more source

Oscillation of arbitrary-order derivatives of solutions to the higher order non-homogeneous linear differential equations taking small functions in the unit disc

open access: yesAIMS Mathematics, 2021
In this article, we study the relationship between solutions and their arbitrary-order derivatives of the higher order non-homogeneous linear differential equation $ \begin{equation*} f^{(k)}+A_{k-1}(z)f^{(k-1)}+\cdots+A_{1}(z)f'+A_{0}(z)f = F(z) \end{
Pan Gong, Hong Yan Xu
doaj   +1 more source

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