Results 11 to 20 of about 35,982 (269)
Mathematics, 2022 The results presented in this paper deal with the classical but still prevalent problem of introducing new classes of m-fold symmetric bi-univalent functions and studying properties related to coefficient estimates.
Georgia Irina Oros +1 more
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On Coefficient Functionals for Functions with Coefficients Bounded by 1 [PDF]
Mathematics, 2020 In this paper, we discuss two well-known coefficient functionals a 2 a 4 − a 3 2 and a 4 − a 2 a 3 . The first one is called the Hankel determinant of order 2. The second one is a special case of Zalcman functional. We consider them for functions in the class Q R ( 1 2 ) of analytic functions with real ...
Paweł Zaprawa +2 more
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Starlike Functions Associated with Bernoulli’s Numbers of Second Kind
Axioms, 2023 The aim of this paper is to introduce a class of starlike functions that are related to Bernoulli’s numbers of the second kind. Let φBS(ξ)=ξeξ−12=∑n=0∞ξnBn2n!, where the coefficients of Bn2 are Bernoulli numbers of the second kind.
Mohsan Raza +4 more
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Harmonic mappings onto R-convex domains
Проблемы анализа, 2019 The plane domain D is called R-convex if D contains each compact set bounded by two shortest sub-arcs of the radius R with endpoints w1, w2 ∈ D, |w1−w2|
Graf S. Yu.
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Bounding the Bogoliubov coefficients [PDF]
Annals of Physics, 2008 25 pages, plain ...
Boonserm, Petarpa, Visser, Matt
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On the Bounds of Coefficients of Daubechies Orthonormal Wavelets [PDF]
Mathematical Notes, 2020 In the present work we provide the bounds for Daubechies orthonormal wavelet coefficients for function spaces $\mathcal{A}_k^p:=\{f: \|(i ω)^k\hat{f}(ω)\|_p< \infty\}$, $k\in\mathbf{N}\cup\{0\}$, $p\in(1,\infty)$.
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Bounds for the coefficients of flow polynomials
Journal of Combinatorial Theory, Series B, 2007 AbstractLet G be any connected bridgeless (n,m)-graph which may have loops and multiedges. It is known that the flow polynomial F(G,t) of G is a polynomial of degree m−n+1; F(G,t)=t−1 if m=n; and F(G,t)∈{(t−1)2,(t−1)(t−2)} if m=n+1. This paper shows that if m⩾n+2, then the absolute value of the coefficient of ti in the expansion of F(G,t) is bounded ...
Feng Ming Dong, Khee Meng Koh
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Sharp Coefficients Bounds for Starlike Functions Associated with Gregory Coefficients
Complex Analysis and Operator Theory, 2023 Abstract In this paper we introduced the class SG* of analytic functions which is related with starlike functions and generating functionof Gregory coefficients. By using bounds on some coefficient functionals for the family of functions with positive real part, we obtain several sharp coefficient bounds on the first six coeffcients and also ...
Sercan Kazımoğlu +2 more
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Bounds for Hilbert coefficients [PDF]
Proceedings of the American Mathematical Society, 2008 We compute the Hilbert coefficients of a graded module with pure resolution and prove lower and upper bounds for these coefficients for arbitrary graded modules.
Herzog, Jürgen, Zheng, Xinxian
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Certain Coefficient Bounds for p-Valent Functions
International Journal of Mathematics and Mathematical Sciences, 2007 In the present paper, the authors obtain sharp bounds for certain subclasses of p-valent functions. The results are extended to functions defined by convolution.
C. Ramachandran +2 more
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