Results 111 to 120 of about 653 (205)

Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series [PDF]

Sahand Communications in Mathematical Analysis
The present study is unique in exploring bi-univalent functions, which has recently garnered attention from many researchers in Geometric Function Theory (GFT).
Tunji Ibrahim Awolere, Abiodun Tinuoye Oladipo, Şahsene Altınkaya   +2 more
doaj   +1 more source

On Hankel Determinant Inequalities

International Journal For Multidisciplinary Research
This article aims to obtain the second Hankel determinant inequalities for the inverse of the well-known classes of univalent functions, namely, starlike and convex functions.
openaire   +1 more source

A special class of Hankel determinants

, 2013
This is an enlarged version of the original paper which contains some new material.
openaire   +2 more sources

Hankel determinants of zeta values [PDF]

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.
Alan Haynes (21274274), Wadim Zudilin (21274277)   +1 more
core  

Jacobi continued fraction and Hankel determinants of the Thue-Morse sequence [PDF]

, 2016
International audienceWe study the Jacobi continued fraction and the Hankel determinants of the Thue-Morse sequence and obtain several interesting properties.
Han, Guo-Niu
core   +1 more source

Sharp Functional Inequalities for Starlike and Convex Functions Defined via a Single-Lobed Elliptic Domain

Mathematics
In this paper, we introduce two novel subclasses of analytic functions, namely, starlike and convex functions of Ma–Minda-type, associated with a newly proposed domain.
Adel Salim Tayyah, Sarem H. Hadi, Abdullah Alatawi, Muhammad Abbas, Ovidiu Bagdasar   +4 more
doaj   +1 more source

Second Hankel Determinants for the Class of Typically Real Functions

Abstract and Applied Analysis, 2016
We discuss the Hankel determinants H2(n)=anan+2-an+12 for typically real functions, that is, analytic functions which satisfy the condition Im ⁡z Im⁡f(z)≥0 in the unit disk Δ. Main results are concerned with H2(2) and H2(3).
Paweł Zaprawa
doaj   +1 more source

Number Sequences in an Integral Form with a Generalized Convolution Property and Somos-4 Hankel Determinants [PDF]

, 2012
MSC 2010: 11B83, 05A19, 33C45This paper is dealing with the Hankel determinants of the special number sequences given in an integral form. We show that these sequences satisfy a generalized convolution property and the Hankel determinants have the ...
Savic, Natasa, Rajkovic, Predrag M., Barry, Paul   +2 more
core  

Hankel hyperdeterminants and Selberg integrals [PDF]

, 2002
32 pages, LaTex, IOP macrosWe investigate the simplest class of hyperdeterminants defined by Cayley in the case of Hankel hypermatrices (tensors of the form $A_{i_1i_2... i_k}=f(i_1+i_2+...+i_k)$).
Luque, Jean-Gabriel, Thibon, Jean-Yves
core   +2 more sources

Further developments of the extended quadrature method of moments to solve population balance equations. [PDF]

Heliyon, 2023
Turan M, Dutta A.
europepmc   +1 more source