Results 51 to 60 of about 2,380 (213)

ON CLUSTER SETS OF MEROMORPHIC FUNCTIONS [PDF]

Proceedings of the National Academy of Sciences, 1966
and we let W denote the extended w-plane. Classical theorems of W. Gross and F. Iversen state that the boundary of C is contained in Cr, and any point of the open set CCr that is not in R is in A; moreover, R covers CCr with the possible exception of at most two points, and if there are two exceptional points, then R is W minus these two points (see [1]
openaire   +3 more sources

Algebraicity of ratios of special L$L$‐values for GL(n)$\mathrm{GL}(n)$

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We prove, under certain assumptions, the algebraicity of the ratio L(m,Π×χ)/L(m,Π×χ′)$L(m, \Pi \times \chi)/L(m, \Pi \times \chi ^{\prime })$, where Π$\Pi$ is a cuspidal automorphic cohomological unitary representation of GLn(AQ)$\mathrm{GL}_n(\mathbb {A}_\mathbb {Q})$, and χ$\chi$, χ′$\chi ^{\prime }$ are finite‐order Hecke characters such ...
Ankit Rai, Gunja Sachdeva
wiley   +1 more source

Properties of differences of meromorphic functions [PDF]

, 2011
summary:Let $f$ be a transcendental meromorphic function. We propose a number of results concerning zeros and fixed points of the difference $g(z)=f(z+c)-f(z)$ and the divided difference $g(z)/f(z)$
Chen, Zong-Xuan, Zong-Xuan Chen, Kwang Ho Shon, Shon, Kwang Ho   +3 more
core   +1 more source

Meromorphic functions with positive coefficients [PDF]

International Journal of Mathematics and Mathematical Sciences, 2004
Let ∑∗(α, β, k) be a class of meromorphic functions f(z) with positive coefficients in D = {0 < |z| < 1}. The aim of the present note is to prove some properties for the class ∑∗(α, β, k).
openaire   +2 more sources

On the K‐stability of blow‐ups of projective bundles

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We investigate the K‐stability of certain blow‐ups of P1$\mathbb {P}^1$‐bundles over a Fano variety V$V$, where the P1$\mathbb {P}^1$‐bundle is the projective compactification of a line bundle L$L$ proportional to −KV$-K_V$ and the center of the blow‐up is the image along a positive section of a divisor B$B$ also proportional to L$L$. When V$V$
Daniel Mallory
wiley   +1 more source

Third-Order Differential Subordination for Generalized Struve Function Associated with Meromorphic Functions

مجلة بغداد للعلوم
  Previously, many works dealt with the study of the order differential subordination and shortly after that other studies dealt with the  order differential subordination in the unit disc.
Suha J. Hammad , Abdul Rahman S. Juma , Hassan H. Ebrahim   +2 more
doaj   +1 more source

Counting 5‐isogenies of elliptic curves over Q$\mathbb {Q}$

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We show that the number of 5‐isogenies of elliptic curves defined over Q$\mathbb {Q}$ with naive height bounded by H>0$H > 0$ is asymptotic to C5·H1/6(logH)2$C_5\cdot H^{1/6} (\log H)^2$ for some explicitly computable constant C5>0$C_5 > 0$. This settles the asymptotic count of rational points on the genus zero modular curves X0(m)$\mathcal {X}
Santiago Arango‐Piñeros, Changho Han, Oana Padurariu, Sun Woo Park   +3 more
wiley   +1 more source

Meromorphic function fields closed by partial derivatives

, 2019
We characterize meromorphic function fields closed by partial derivatives in n ...
Yukitaka Abe, Abe Yukitaka
core   +1 more source

Meromorphic functions sharing two sets [PDF]

, 2007
summary:In the paper we discuss the uniqueness problem for meromorphic functions that share two sets and prove five theorems which improve and supplement some results earlier given by Yi and Yang [13], Lahiri and Banerjee [5]
Mandal, Rajib, Banerjee, Abhijit, Majumder, Sujoy, AHAMED, Molla Basir   +3 more
core   +1 more source