Results 81 to 90 of about 2,380 (213)

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

Karpatsʹkì 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   +1 more source

On meromorphic functions commuting with elements of a function group

, 1972
The problem of whether there always exist meromorphic functions commuting with all substitutions of a function group is solved in the affirmative.
John Roderick Smart
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On Exceptional Values of a Meromorphic Function [PDF]

Nagoya Mathematical Journal, 1955
M. Brelot [1] has shown that if u(z) is subharmonic in an open set D in the z-plane with boundary C and is bounded from above in a neighborhood of a boundary point z0, which is contained in a set E ⊂ C of inner harmonic measure zero with respect to D, and such that z0 is a regular point for Dirichlet problem in D, then(1) .
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ON A CONJECTURE OF R. BRÜCK CONCERNING MEROMORPHIC FUNCTION SHARING SMALL FUNCTIONS

Revista de Matemática: Teoría y Aplicaciones, 2017
In this paper, we investigate the uniqueness problem on a conjecture of R. Brück concerning meromorphic function sharing the set of small functions with its derivative, and obtain some results which improve the theorems given by Zhang and Yang.
Hong Yan Xu, Cai Feng Yi, Hua Wang
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On the expansion of a meromorphic function in partial fractions

, 2020
Текст статьи не публикуется в открытом доступе в соответствии с политикой журнала.The paper is devoted to partial fractions expansion for meromorphic function of one complex variable.
Маергойз, Л. С.
core  

Properties of the series solution for Painlevé I [PDF]

, 2013
We present some observations on the asymptotic behaviour of the coefficients in the Laurent series expansion of solutions of the first Painlevé equation.
Ragnisco, Orlando, Hone, A. N. W., Zullo, Federico, Hone, Andrew N.W.   +3 more
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On p-Valently Meromorphic-Strongly Starlike and Convex Functions

International Journal of Analysis and Applications, 2016
In this paper, we obtain sufficient conditions for analytic function $f(z)$ in the punctured unit disk to be $p$-valently meromorphic-strongly starlike and $p$-valently meromorphic-strongly convex of order $\beta$ and type $\alpha$.
Rahim Kargar, Ali Ebadian, Janusz Sokol
doaj   +2 more sources

Values shared by meromorphic functions and their derivatives

Arab Journal of Mathematical Sciences, 2016
In this paper we deal with the problem of uniqueness of meromorphic functions as well as their power which share a small function with their derivatives and obtain some results which improve and generalize the recent results due to Zhang and Yang (2009 ...
Sujoy Majumder
doaj   +1 more source

On uniqueness polynomials for meromorphic functions [PDF]

Nagoya Mathematical Journal, 2003
AbstractA polynomialP(w)is called a uniqueness polynomial (or a uiqueness polynomial in a broad sense) ifP(f) = cP(g)(orP(f) = P(g))impliesf=gfor any nonzero constantcand nonconstant meromorphic functionsfandgonC. We consider a monic polynomialP(w)without multiple zero whose derivative has mutually distinctkzerosejwith multiplicitiesqj.Under the ...
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Non-linear difference polynomials sharing a polynomial with finite weight

Ratio Mathematica
The uniqueness theory of meromorphic function mainly studies the conditions under which there exists only one function satisfying these conditions. The uniqueness theory of entire and meromorphic functions has grown up as an extensive sub-field of value ...
Harina Pandit Waghamore, Preetham Nataraj Raj   +1 more
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