Results 1 to 10 of about 531,187 (203)
Axioms, 2023 Using the concepts of q-fractional calculus operator theory, we first define a (λ,q)-differintegral operator, and we then use m-fold symmetric functions to discover a new family of bi-close-to-convex functions.
Mohammad Faisal Khan +3 more
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Faber polynomials with common zero [PDF]
Analysis and Mathematical Physics, 2021 We describe the set of meromorphic univalent functions in the class $$\Sigma $$ Σ , for which the sequence of the Faber polynomials $$\{F_j\}_{j=1}^\infty $$ { F j } j = 1 ∞ have the roots with following properties $$|F_n (z_0)|>0=\sum _{\begin{array}{c}
F. Abdullayev, M. Imashkyzy, V. Savchuk
semanticscholar +3 more sources
Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We obtain the Kirillov vector fields on the set of functions $f$ univalent inside the unit disk, in terms of the Faber polynomials of $1/f(1/z)$. Our construction relies on the generating function for Faber polynomials.
Helene Airault
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Faber polynomials and poincare series [PDF]
Mathematical 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∈2\Z for the full modular group \SL2(\Z).
Kane, B
core +6 more sources
Properties and examples of Faber--Walsh polynomials [PDF]
Computational Methods and Function Theory, 2016 The Faber--Walsh polynomials are a direct generalization of the (classical) Faber polynomials from simply connected sets to sets with several simply connected components.
Liesen, Jörg, Sète, Olivier
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Zeros of Faber Polynomials for Joukowski Airfoils [PDF]
Constructive Approximation, 2018 Let K be the closure of a bounded region in the complex plane with simply connected complement whose boundary is a piecewise analytic curve with at least one outward cusp.
N. Levenberg, F. Wielonsky
semanticscholar +5 more sources
From Euler's elastica to the mKdV hierarchy, through the Faber polynomials [PDF]
, 2015 The modified Korteweg-de Vries hierarchy (mKdV) is derived by imposing isometry and isoenergy conditions on a moduli space of plane loops. The conditions are compared to the constraints that define Euler's elastica.
Matsutani, Shigeki, Previato, Emma
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Faber Polynomials on Quaternionic Compact Sets
Complex Analysis and Operator Theory, 2017 The authors consider the notion of Faber polynomials in the context of slice regular quaternionic functions. Let \(K\) be an axially symmetric compact set in \(\mathbb H\) (the skew field of real quaternions) such that \(\overline{\mathbb H}\setminus K\) is simply connected, then a given quaternionic function which is continuous on \(K\) and slice ...
S. Gal, I. Sabadini
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LINEAR DIOPHANTINE INEQUALITIES APPLIED TO GENERALIZED FABER POLYNOMIALS. [PDF]
Proc Natl Acad Sci U S A, 1960 Motzkin TS.
europepmc +4 more sources
Zeros of modular forms and Faber polynomials [PDF]
Mathematika, 2023 We study the zeros of cusp forms of large weight for the modular group, which have a very large order of vanishing at infinity, so that they have a fixed number D$D$ of finite zeros in the fundamental domain.
Z. Rudnick
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