Results 11 to 20 of about 7,436 (197)
Fractal and Fractional, 2022 The logarithmic functions have been used in a verity of areas of mathematics and other sciences. As far as we know, no one has used the coefficients of logarithmic functions to determine the bounds for the third Hankel determinant.
Bilal Khan +3 more
doaj +3 more sources
Open Mathematics, 2019 In this paper we define and consider some familiar subsets of analytic functions associated with sine functions in the region of unit disk on the complex plane. For these classes our aim is to find the Hankel determinant of order three.
Arif Muhammad +4 more
doaj +2 more sources
International Journal of Analysis and Applications, 2023 The growth of the Hankel determinant whose elements are logarithmic coefficients for different subclasses of univalent functions has recently attracted considerable interest.
Daud Mohamad +1 more
doaj +1 more source
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 $ (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
openaire +6 more sources
Painlevé V and the Hankel determinant for a singularly perturbed Jacobi weight
Nuclear Physics B, 2020 We study the Hankel determinant generated by a singularly perturbed Jacobi weightw(x,t):=(1−x2)αe−tx2,x∈[−1,1],α>0,t≥0. If t=0, it is reduced to the classical symmetric Jacobi weight.
Chao Min, Yang Chen
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Evaluation of a Special Hankel Determinant of Binomial Coefficients [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 This paper makes use of the recently introduced technique of $\gamma$-operators to evaluate the Hankel determinant with binomial coefficient entries $a_k = (3 k)! / (2k)! k!$. We actually evaluate the determinant of a class of polynomials $a_k(x)$ having
Ömer Eugeciouglu +2 more
doaj +1 more source
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 ( x ) + sec ( x ) \tan (x)+\sec (x) . Since Stieltjes, continued fractions and Hankel determinants of the even Euler numbers, on the one hand, of the odd Euler numbers, on the other hand, have been widely ...
openaire +2 more sources
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.
Eğecioğlu, Ömer +2 more
openaire +3 more sources