Results 11 to 20 of about 1,468,677 (198)

Uniqueness of a Polynomial and a Differential Monomial Sharing a Small Function [PDF]

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2016
In this paper taking a question in [1] into background we investigate the uniqueness of a non-constant polynomial with the differential monomial generated by a non-constant mermorphic function f.
Banerjee Abhijit, Ahamed Molla Basir
doaj   +3 more sources

First Integrals and Invariants of Systems of Ordinary Differential Equations [PDF]

open access: yesMathematics
We investigate the interplay between monomial first integrals, polynomial invariants of certain group action, and the Poincaré–Dulac normal forms for autonomous systems of ordinary differential equations with a diagonal matrix of the linear part.
Mateja Grašič   +2 more
doaj   +2 more sources

On the Entire Solutions of a Class of Differential Equations Related to Fermat-Type Equations

open access: yesMathematics
We study a substantially generalized version of the equation on nonlinear monomial differential equations, and obtain two-sided inequalities for the growth of entire solutions.
Gengchen Wang, Liangwen Liao
doaj   +2 more sources

Advancement on the study of growth analysis of differential polynomial and differential monomial in the light of slowly increasing functions

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
Study of the growth analysis of entire or meromorphic functions has generally been done through their Nevanlinna's characteristic function in comparison with those of exponential function.
T. Biswas
doaj   +4 more sources

Monomiality Principle and Eigenfunctions of Differential Operators [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
We apply the so‐called monomiality principle in order to construct eigenfunctions for a wide set of ordinary differential operators, relevant to special functions and polynomials, including Bessel functions and generalized Gould‐Hopper polynomials.
Isabel Cação, Paolo E. Ricci
openaire   +4 more sources

Uniqueness of polynomial and differential monomial [PDF]

open access: yesActa Universitatis Sapientiae, Mathematica, 2017
Abstract In this paper, we discuss the problem of meromorphic functions sharing small function and present one theorem which extend a result of K. S. Charak and Banarasi Lal [16].
Waghamore Harina P., Husna V.
openaire   +3 more sources

On supercharacter theoretic generalizations of monomial groups and Artin's conjecture [PDF]

open access: yes, 2021
We extend the notions of quasi-monomial groups and almost monomial groups, in the framework of supercharacter theories, and we study their connection with Artin's conjecture regarding the holomorphy of Artin $L$-functions.Comment: 14 ...
Cimpoeas, Mircea   +2 more
core   +1 more source

A Note on the value distribution of a differential monomial and some normality criteria [PDF]

open access: yesRendiconti del Circolo Matematico di Palermo Series 2, 2021
In this paper, we prove some value distribution results which lead to some normality criteria for a family of analytic functions. These results improve some recent results.
Sudip Saha, Bikash Chakraborty
openaire   +3 more sources

Monomiality and partial differential equations

open access: yesMathematical and Computer Modelling, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. Dattoli   +3 more
openaire   +3 more sources

Antichains of monomial ideals are finite [PDF]

open access: yes, 2000
The main result of this paper is that all antichains are finite in the poset of monomial ideals in a polynomial ring, ordered by inclusion. We present several corollaries of this result, both simpler proofs of results already in the literature and new
Maclagan, Diane, Diane Maclagan
core   +1 more source

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