scholarly journals Faber polynomial coefficients of bi-subordinate functions

2016 ◽  
Vol 354 (4) ◽  
pp. 365-370 ◽  
Author(s):  
Samaneh G. Hamidi ◽  
Jay M. Jahangiri
Keyword(s):  
Faber Polynomial ◽  
Polynomial Coefficients

scholarly journals Faber polynomial coefficients estimates for certain subclasses of $ q $-Mittag-Leffler-Type analytic and bi-univalent functions

2021 ◽  
Vol 7 (2) ◽  
pp. 2512-2528
Author(s):  
Zeya Jia ◽  
◽  
Nazar Khan ◽  
Shahid Khan ◽  
Bilal Khan ◽  
...  
Keyword(s):  
Differential Operator ◽  
Unit Disk ◽  
Univalent Functions ◽  
Expansion Method ◽  
Open Unit ◽  
Open Unit Disk ◽  
Faber Polynomial ◽  
Polynomial Coefficients ◽  
Polynomial Expansion Method ◽  
Generalized Differential

<abstract><p>In this paper, we introduce the $ q $-analogus of generalized differential operator involving $ q $-Mittag-Leffler function in open unit disk</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{equation*} E = \left \{ z:z\in \mathbb{C\ \ }\text{ and} \ \ \left \vert z\right \vert &lt;1\right \} \end{equation*} $\end{document} </tex-math></disp-formula></p> <p>and define new subclass of analytic and bi-univalent functions. By applying the Faber polynomial expansion method, we then determined general coefficient bounds $ |a_{n}| $, for $ n\geq 3 $. We also highlight some known consequences of our main results.</p></abstract>

scholarly journals Faber Polynomial Coefficients of Classes of Meromorphic Bistarlike Functions

2015 ◽  
Vol 2015 ◽  
pp. 1-5
Author(s):  
Jay M. Jahangiri ◽  
Samaneh G. Hamidi
Keyword(s):  
Polynomial Coefficient ◽  
Coefficient Estimates ◽  
Faber Polynomial ◽  
Coefficient Bounds ◽  
Gap Series ◽  
Polynomial Coefficients

Applying the Faber polynomial coefficient expansions to certain classes of meromorphic bistarlike functions, we demonstrate the unpredictability of their early coefficients and also obtain general coefficient estimates for such functions subject to a given gap series condition. Our results improve some of the coefficient bounds published earlier.

scholarly journals Faber polynomial coefficients for meromorphic bi-subordinate functions of complex order

2020 ◽  
Vol 5 (1) ◽  
pp. 640-649 ◽  
Author(s):  
Erhan Deniz ◽  
◽  
Hatice Tuǧba Yolcu
Keyword(s):  
Faber Polynomial ◽  
Complex Order ◽  
Polynomial Coefficients

scholarly journals Faber polynomial coefficients for generalized bi-subordinate functions of complex order

2018 ◽  
pp. 645-653 ◽  
Author(s):  
Erhan Deniz ◽  
Jay M. Jahangiri ◽  
Samaneh G. Hamidi ◽  
Sibel K. Kına
Keyword(s):  
Faber Polynomial ◽  
Complex Order ◽  
Polynomial Coefficients

scholarly journals Coefficients of a Comprehensive Subclass of Meromorphic Bi-Univalent Functions Associated with the Faber Polynomial Expansion

Axioms ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 27
Author(s):  
Hari Mohan Srivastava ◽  
Ahmad Motamednezhad ◽  
Safa Salehian
Keyword(s):  
Unit Disk ◽  
Univalent Functions ◽  
Expansion Method ◽  
Upper Bounds ◽  
Polynomial Expansion ◽  
Open Unit ◽  
Open Unit Disk ◽  
Faber Polynomial ◽  
The Subject ◽  
Polynomial Expansion Method

In this paper, we introduce a new comprehensive subclass ΣB(λ,μ,β) of meromorphic bi-univalent functions in the open unit disk U. We also find the upper bounds for the initial Taylor-Maclaurin coefficients |b0|, |b1| and |b2| for functions in this comprehensive subclass. Moreover, we obtain estimates for the general coefficients |bn|(n≧1) for functions in the subclass ΣB(λ,μ,β) by making use of the Faber polynomial expansion method. The results presented in this paper would generalize and improve several recent works on the subject.

scholarly journals An efficient algorithm for deciding vanishing of Schubert polynomial coefficients

2021 ◽  
Vol 383 ◽  
pp. 107669
Author(s):  
Anshul Adve ◽  
Colleen Robichaux ◽  
Alexander Yong
Keyword(s):  
Efficient Algorithm ◽  
Schubert Polynomial ◽  
Polynomial Coefficients

scholarly journals The Rabi problem with elliptical polarization

2020 ◽  
Vol 75 (11) ◽  
pp. 937-962
Author(s):  
Heinz-Jürgen Schmidt
Keyword(s):  
Floquet Theory ◽  
Equation Of Motion ◽  
Quantum Spin ◽  
Heun Equation ◽  
Elliptical Polarization ◽  
Third Order ◽  
Polynomial Coefficients ◽  
Resonance Frequencies ◽  
Classical Quantum ◽  
Elliptically Polarized

AbstractWe consider the solution of the equation of motion of a classical/quantum spin subject to a monochromatical, elliptically polarized external field. The classical Rabi problem can be reduced to third-order differential equations with polynomial coefficients and hence solved in terms of power series in close analogy to the confluent Heun equation occurring for linear polarization. Application of Floquet theory yields physically interesting quantities like the quasienergy as a function of the problem’s parameters and expressions for the Bloch–Siegert shift of resonance frequencies. Various limit cases are thoroughly investigated.

A Recursion Formula for the Coefficients of Entire Functions Satisfying an ODE with Polynomial Coefficients

2004 ◽  
Vol 11 (3) ◽  
pp. 409-414
Author(s):  
C. Belingeri
Keyword(s):  
Differential Equations ◽  
Sum Rules ◽  
Entire Functions ◽  
Recursion Formula ◽  
Linear Differential Equations ◽  
Bell Polynomials ◽  
Polynomial Coefficients ◽  
Linear Differential

Abstract A recursion formula for the coefficients of entire functions which are solutions of linear differential equations with polynomial coefficients is derived. Some explicit examples are developed. The Newton sum rules for the powers of zeros of a class of entire functions are constructed in terms of Bell polynomials.

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