Results 21 to 30 of about 11,980 (190)
Towards transversality of singular varieties: splayed divisors [PDF]
We study a natural generalization of transversally intersecting smooth hypersurfaces in a complex manifold: hypersurfaces, whose components intersect in a transversal way but may be themselves singular. Such hypersurfaces will be called splayed divisors.
Faber, Eleonore
core +1 more source
Coefficients Estimates of the Class of Biunivalent Functions
Applying the Faber polynomial expansions, we obtain the general coefficient bounds for the class of biunivalent functions with bounded boundary rotations.
Abdullah Aljouiee, Pranay Goswami
doaj +1 more source
Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes [PDF]
We employ the $1/2$-spin tautological relations to provide a particular combinatorial identity. We show that this identity is a statement equivalent to Faber's formula for proportionalities of kappa-classes on $\mathcal{M}_g$, $g\geq 2$.
Garcia-Failde, Elba +3 more
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Jacobi polynomials as generalized Faber polynomials [PDF]
Let B {\mathbf {B}} be an open bounded subset of the complex z z -plane with closure B ¯ \overline {\mathbf {B}} whose complement B ¯ c {
openaire +1 more source
In this investigation, by using the Komatu integral operator, we introduce the new class of bi-univalent functions based on the rule of subordination. Moreover, we use the Faber polynomial expansions and Fibonacci numbers to derive bounds for the general
Şahsene Altınkaya +2 more
doaj +1 more source
In this investigation, the q-difference operator and the Sălăgean q-differential operator are utilized to establish novel subclasses of analytical bi-close-to-convex functions.
Ridong Wang +5 more
doaj +1 more source
Faber Polynomials And Poincaré Series [PDF]
In this paper we consider weakly holomorphic modular forms (i.e. those meromorphic modular forms for which poles only possibly occur at the cusps) of weight $2-k\in 2\Z$ for the full modular group $\SL_2(\Z)$. The space has a distinguished set of generators $f_{m,2-k}$.
openaire +4 more sources
Linear orbits of arbitrary plane curves [PDF]
The `linear orbit' of a plane curve of degree $d$ is its orbit in $\P^{d(d+3)/2}$ under the natural action of $\PGL(3)$. In this paper we obtain an algorithm computing the degree of the closure of the linear orbit of an arbitrary plane curve, and give ...
Aluffi, Paolo, Faber, Carel
core +3 more sources
Faber Polynomial Coefficient Estimates for Meromorphic Bi-Starlike Functions
We consider meromorphic starlike univalent functions that are also bi-starlike and find Faber polynomial coefficient estimates for these types of functions. A function is said to be bi-starlike if both the function and its inverse are starlike univalent.
Samaneh G. Hamidi +2 more
doaj +1 more source
In this study, we begin by examining the τ-fractional differintegral operator and proceed to establish a novel subclass in the open unit disk E. The determination of the nth coefficient bound for functions within this recently established class is ...
Ferdous M. O. Tawfiq +2 more
doaj +1 more source

