Results 111 to 120 of about 828 (215)
Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice
Symmetry, Integrability and Geometry: Methods and Applications, 2013 The spectral transformation technique for symmetric RII polynomials is developed. Use of this technique reveals that the nonautonomous discrete modified KdV (nd-mKdV) lattice is directly connected with the RII chain.
Kazuki Maeda, Satoshi Tsujimoto
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Hankel Determinant for a Class of Analytic Functions Related with Lemniscate of Bernoulli
International Journal of Analysis and Applications, 2014 The object of the present investigation is to solve Fekete-Szegö problem and determine the sharp upper bound to the second Hankel determinant for a new class R of analytic functions in the unit disk.
Ashok Kumar Sahoo, Jagannath Patel
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Second Hankel determinant problem for k-bi-starlike functions
, 2017 In this paper we introduce and study some properties of k-bi-starlike functions defined by making use of the S?l?gean derivative operator. Upper bounds on the second Hankel determinant for k-bi-starlike functions are investigated.
ORHAN, Halit +5 more
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Bounds for the Second Hankel Determinant and Its Inverse in Specific Function Classes
AxiomsThis paper presents a newly defined subclass of analytic functions and explores several significant properties within the class, which use for their definitions the q-analogues of the derivative and the subordinations. Thus, we tried to connect different
Trailokya Panigrahi +2 more
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A special class of Hankel determinants
, 2013 This is an enlarged version of the original paper which contains some new material.
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AxiomsThe study of the Hankel determinant generated by the Maclaurin series of holomorphic functions belonging to particular classes of normalized univalent functions is one of the most significant problems in geometric function theory.
Muhammad Abbas +3 more
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Proof of the Somos-4 Hankel determinants conjecture
Advances in Applied Mathematics, 2009 3 ...
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On H3 (1) Hankel determinant for certain subclass of analytic functions
Extracta Mathematicae, 2020 The objective of this paper is to obtain an upper bound to Hankel determinant of third order for any function f, when it belongs to certain subclass of analytic functions, defined on the open unit disc in the complex plane.
D. Vamshee Krishna, D. Shalini
doaj
On a Subclass of Analytic Functions Related to a Hyperbola
International Journal of Mathematics and Mathematical Sciences, 2014 The object of the present investigation is to solve Fekete-Szegö problem and determine the sharp upper bound to the second Hankel determinant for a new class ℛ̃(a,c,ρ) of analytic functions in the unit disk.
Jagannath Patel, Ashok Kumar Sahoo
doaj +1 more source
Bounds for the second Hankel determinant of certain bi-univalent functions
, 2016 We investigate the second Hankel determinant inequalities for a certain class of analytic and bi-univalent functions.
ORHAN, Halit +2 more
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