Results 11 to 20 of about 16,584 (269)

Fourth Hankel Determinant for a Subclass of Starlike Functions Based on Modified Sigmoid

Journal of Function Spaces, 2021
In our present investigation, we obtain the improved third-order Hankel determinant for a class of starlike functions connected with modified sigmoid functions.
Wali Khan Mashwani, Bakhtiar Ahmad, Nazar Khan, Muhammad Ghaffar Khan, Sama Arjika, Bilal Khan, Ronnason Chinram   +6 more
doaj   +2 more sources

Starlikeness of a certain integral

Applied Mathematics Letters, 1991
AbstractThe object of the present paper is to give the improvement of the result by R. Singh and S. Singh ([1, Theorem 2]).
Shigeyoshi Owa
openalex   +3 more sources

Starlike Hypergeometric Functions [PDF]

Proceedings of the American Mathematical Society, 1961
E. P. Merkes, W. T. Scott
openalex   +3 more sources

The second Hankel determinant of the logarithmic coefficients of strongly starlike and strongly convex functions

RACSAM, 2023
Sharp bounds are given for the second Hankel determinant of the logarithmic coefficients of strongly starlike and strongly convex functions.
B. Kowalczyk, A. Lecko
semanticscholar   +1 more source

Third Hankel Determinant for the Logarithmic Coefficients of Starlike Functions Associated with Sine Function

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.
B. Khan, I. Aldawish, S. Araci, Muhammad Ghaffar Khan   +3 more
semanticscholar   +1 more source

Properties of q-Symmetric Starlike Functions of Janowski Type

Symmetry, 2022
The word “symmetry” is a Greek word that originated from “symmetria”. It means an agreement in dimensions, due proportion, and arrangement; however, in complex analysis, it means objects remaining invariant under some transformation.
Afis Saliu, Isra Al-shbeil, J. Gong, Sarfraz Nawaz Malik, Najla Aloraini   +4 more
semanticscholar   +1 more source

Hankel Determinants and Coefficient Estimates for Starlike Functions Related to Symmetric Booth Lemniscate

Symmetry, 2022
In this paper, we find Hankel determinants and coefficient bounds for a subclass of starlike functions related to Booth lemniscate. In particular, we obtain the first four sharp coefficient bounds, Hankel determinants of order two and three, and Zalcman ...
Mohsan Raza, A. Riaz, Qin Xin, Sarfraz Nawaz Malik   +3 more
semanticscholar   +1 more source

Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions

Fractal and Fractional, 2022
This paper considers the basic concepts of q-calculus and the principle of subordination. We define a new subclass of q-starlike functions related to the Salagean q-differential operator.
Isra Al-shbeil, J. Gong, Shahid Khan, N. Khan, Ajmal Khan, Mohammad Faisal Khan, A. Goswami   +6 more
semanticscholar   +1 more source

SOME CRITERIA FOR STARLIKENESS AND STRONGLY STARLIKENESS [PDF]

Bulletin of the Korean Mathematical Society, 2005
In this paper we derive certain sufficient conditions for starlikeness and strongly starlikeness of analytic functions in the unit disk. Our results generalize and refine the related results due to Li and Owa[l, 2] and Ramesha et al.[5]. Some other new results are also given.
Yang Dinggong, Xu Neng
openaire   +2 more sources

Starlike functions associated with an Epicycloid

Hacettepe Journal of Mathematics and Statistics, 2022
For a natural number $n\geq 2$, the function $\phi_{n\mathcal{L}}(z)=1+nz/(n+1)+z^n/(n+1)$ maps the open unit disk onto a domain bounded by an epicycloid with $(n-1)$ cusps.
S. Gandhi, P. Gupta, S. Nagpal, V. Ravichandran   +3 more
semanticscholar   +1 more source