Results 31 to 40 of about 257,077 (206)
Axioms, 2022 The logarithmic coefficients are very essential in the problems of univalent functions theory. The importance of the logarithmic coefficients is due to the fact that the bounds on logarithmic coefficients of f can transfer to the Taylor coefficients of ...
Sevtap Sümer Eker +3 more
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Hankel continued fractions and Hankel determinants of the Euler numbers [PDF]
Transactions of the American Mathematical Society, 2020 The Euler numbers occur in the Taylor expansion of tan (
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An Interesting Class of Hankel Determinants [PDF]
, 2020 For small $r$ the Hankel determinants $d_r(n)$ of the sequence $\left({2n+r\choose n}\right)_{n\ge 0}$ are easy to guess and show an interesting modular pattern. For arbitrary $r$ and $n$ no closed formulae are known, but for each positive integer $r$ the special values $d_r(rn)$, $d_r(rn+1)$, and $d_r(rn+\lfloor\frac{r+1}{2}\rfloor)$ have nice values ...
Cigler, Johann, Tyson, Mike
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Fractal and Fractional, 2022 This paper deals with a new subclass of univalent function associated with the right half of the lemniscate of Bernoulli. We find the upper bound of the Hankel determinant H3(1) for this subclass by applying the Carlson–Shaffer operator to it.
Najeeb Ullah +5 more
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Hankel Determinants of Zeta Values [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2015 We study the asymptotics of Hankel determinants constructed using the values $ζ(an+b)$ of the Riemann zeta function at positive integers in an arithmetic progression. Our principal result is a Diophantine application of the asymptotics.
Haynes, Alan, Zudilin, Wadim
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Almost Product Evaluation of Hankel Determinants [PDF]
The Electronic Journal of Combinatorics, 2008 An extensive literature exists describing various techniques for the evaluation of Hankel determinants. The prevailing methods such as Dodgson condensation, continued fraction expansion, LU decomposition, all produce product formulas when they are applicable.
Ömer Egecioglu +2 more
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Determinants of Hankel Matrices
Journal of Functional Analysis, 2001 18 pages, LaTeX ...
Basor, Estelle L. +2 more
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Evaluation of some Hankel determinants
Advances in Applied Mathematics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hou, Q.-H., Lascoux, Alain, Mu, Y.-P.
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Bounds for the Second Hankel Determinant of a General Subclass of Bi-Univalent Functions [PDF]
International Journal of Mathematical, Engineering and Management SciencesThe Hankel determinant, which plays a significant role in the theory of univalent functions, is investigated here in the context of bi-univalent analytic functions.
Mohamed Illafe +3 more
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Applications of Modified Sigmoid Functions to a Class of Starlike Functions
Journal of Function Spaces, 2020 The main focus of this investigation is the applications of modified sigmoid functions. Due to its various uses in physics, engineering, and computer science, we discuss several geometric properties like necessary and sufficient conditions in the form of
Muhammad Ghaffar Khan +4 more
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