Results 101 to 110 of about 653 (205)
What is a vector Hankel determinant
Linear Algebra and its Applications, 1998 The aim of the paper under review is to give, under some assumptions, a necessary and sufficient condition that the following system \[ \sum_{j=1}^n x_j a_{i,j} = b_i, \] where \(i=1,\dots,n\), and the \(a_{i,j}\)'s and the \(b_i\)'s are in a euclidean vector space \(V\) of dimension \(n\), has one and only one solution.
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Hankel determinant calculus for the Thue–Morse and related sequences [PDF]
, 2015 International audienceThe Hankel determinants of certain automatic sequences f are evaluated modulo a prime number. In most cases, the Hankel determinants of automatic sequences do not have any closed-form expressions; the traditional methods, such as LU-
Han, Guo-Niu
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Journal of MathematicsIn this article, we have studied the class Ccos of normalized analytic functions f satisfying 1+zf″z/f′z≺cosz. We present the improved coefficient bounds and the Hankel determinants of fourth order for functions lying in the class Ccos.
Umar Raza, Mohsan Raza, Afis Saliu
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Sobolev orthogonal polynomials in computing of Hankel determinants [PDF]
, 2012 In this paper, we study closed form evaluation for some special Hankel determinants arising in combinatorial analysis, especially for the bidirectional number sequences.
Rajković, Predrag M. +2 more
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Toeplitz Determinants for Inverse of Analytic Functions
MathematicsEstimates bounds for Carathéodory functions in the complex domain are applied to demonstrate sharp limits for the inverse of analytic functions. Determining these values is considered a more difficult task compared to finding the values of analytic ...
Sarem H. Hadi +4 more
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Arithmetic applications of Hankel determinants [PDF]
This thesis focuses on the application of matrix determinants as a means of producing number-theoretic results. Motivated by an investigation of properties of the Riemann zeta function, we examine the growth rate of certain determinants of zeta values ...
Daniel James Sutherland (21271190)
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On t-extensions of the Hankel determinants of certain automatic sequences [PDF]
, 2015 International audienceIn 1998, Allouche, Peyrière, Wen and Wen considered the Thue–Morse sequence, and proved that all the Hankel determinants of the period-doubling sequence are odd integers.
Fu, Hao, Han, Guo-Niu
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Scientific AfricanIn this paper, we introduce a new geometric domain with a C-shaped structure and demonstrate its properties of Ma-Minda families. This new domain exhibits regular analytic behavior.
Sarem H. Hadi +2 more
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Asymptotics for Hankel Determinants Associated to a Hermite Weight with a Varying Discontinuity [PDF]
, 2018 We study n×n Hankel determinants constructed with moments of a Hermite weight with a Fisher-Hartwig singularity on the real line. We consider the case when the singularity is in the bulk and is both of root-type and jump-type.
Deaño Cabrera, Alfredo +8 more
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Fractal and FractionalIn the present paper, using the q-difference operator, we introduce two classes of q-starlike functions and q-convex functions subordinate to secant hyperbolic functions. As functions in these classes have unique characteristic of missing coefficients on
Lifen Zhang, Zhigang Wang, Lei Shi
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