Results 31 to 40 of about 1,081,230 (234)

Hankel and symmetric Toeplitz determinants for Sakaguchi starlike functions [PDF]

Studia Universitatis Babeş-Bolyai. Mathematica
. In this paper, we consider the class of starlike functions with respect to symmetric points which are also known as Sakaguchi starlike functions. We de- termine best possible bounds on Zalcman conjecture |a_n^2 – a_(2n-1) | and generalized Zalcman ...
Sushil Kumar, Swati Anand, Naveen Kumar Jain   +2 more
semanticscholar   +3 more sources

Toeplitz determinants with perturbations in the corners [PDF]

Journal of Functional Analysis, 2015
20 ...
Albrecht Böttcher, Lenny Fukshansky, Stephan Ramon Garcia, Hiren Maharaj   +3 more
openaire   +4 more sources

Hankel and Toeplitz Determinants for a Subclass of q-Starlike Functions Associated with a General Conic Domain

Mathematics, 2019
By using a certain general conic domain as well as the quantum (or q-) calculus, here we define and investigate a new subclass of normalized analytic and starlike functions in the open unit disk U .
Hari M. Srivastava, Qazi Zahoor Ahmad, Nasir Khan, Nazar Khan, Bilal Khan   +4 more
doaj   +2 more sources

Further remarks on (0,1) Toeplitz determinants [PDF]

Discrete Mathematics Letters
Yaroslav Shitov
doaj   +2 more sources

Integer composition, connection Appell constants and Bell polynomials

Journal of Numerical Analysis and Approximation Theory, 2021
We introduce an explicit form of the connection coefficients for Appell polynomial sequences via Toeplitz-Hessenberg matrix determinants. Generalizing, we give an explicit form of the connection coefficients for arbitrary   polynomial sequences and ...
Nataliia Luno
doaj   +7 more sources

Toeplitz determinants for a certain class of analytic and univalent functions [PDF]

Surveys in Mathematics and its Applications
In this manuscript, we define and study a certain class of analytic and univalent functions defined in the open unit disk U. We derive the coefficient estimates for the first four determinants of the symmetric Toeplitz matrices T2(2), T2(3), T3(1) and T3(
Abbas Kareem Wanas, Basem Aref Frasin, Adriana Cătaș   +2 more
doaj   +2 more sources

Determinant identities for toeplitz-hessenberg matrices with tribonacci entries [PDF]

Transactions on Combinatorics, 2020
In this paper‎, ‎we evaluate determinants of some families of Toeplitz--Hessenberg matrices having tribonacci number entries‎. ‎These determinant formulas may also be expressed equivalently as identities that involve sums of products of multinomial ...
Taras Goy, Mark Shattuck
doaj   +1 more source

HANKEL DETERMINANT OF CERTAIN ORDERS FOR SOME SUBCLASSES OF HOLOMORPHIC FUNCTIONS

Ural Mathematical Journal, 2022
In this paper, we are introducing certain subfamilies of holomorphic functions and making an attempt to obtain an upper bound (UB) to the second and third order Hankel determinants by applying certain lemmas, Toeplitz determinants, for the normalized ...
D. Vamshee Krishna, D. Shalini
doaj   +1 more source

A note on Pell-Padovan numbers and their connection with Fibonacci numbers

Karpatsʹkì Matematičnì Publìkacìï, 2020
In this paper, we find new relations involving the Pell-Padovan sequence which arise as determinants of certain families of Toeplitz-Hessenberg matrices. These determinant formulas may be rewritten as identities involving sums of products of Pell-Padovan
T.P. Goy, S.V. Sharyn
doaj   +1 more source

Determinants of Toeplitz–Hessenberg Matrices with Generalized Leonardo Number Entries [PDF]

Annales Mathematicae Silesianae
Let un = un(k) denote the generalized Leonardo number defined recursively by un = un−1 + un−2 + k for n ≥ 2, where u0 = u1 = 1. Terms of the sequence un(1) are referred to simply as Leonardo numbers.
Goy Taras, Shattuck Mark
doaj   +3 more sources