Results 21 to 30 of about 11,980 (190)

Towards transversality of singular varieties: splayed divisors [PDF]

open access: yes, 2012
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

open access: yesJournal of Function Spaces, 2016
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]

open access: yes, 2019
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
core   +3 more sources

Jacobi polynomials as generalized Faber polynomials [PDF]

open access: yesTransactions of the American Mathematical Society, 1990
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

A Subclass of Bi-Univalent Functions Based on the Faber Polynomial Expansions and the Fibonacci Numbers

open access: yesMathematics, 2019
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

New Applications of Faber Polynomial Expansion for Analytical Bi-Close-to-Convex Functions Defined by Using q-Calculus

open access: yesMathematics, 2023
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]

open access: yesMathematical Research Letters, 2011
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]

open access: yes, 1999
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2013
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

Faber Polynomial Coefficient Inequalities for a Subclass of Bi-Close-To-Convex Functions Associated with Fractional Differential Operator

open access: yesFractal and Fractional, 2023
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

Home - About - Disclaimer - Privacy