Results 51 to 60 of about 8,275 (212)

Upper Bound of Second Hankel Determinant for Certain Subclasses of Analytic Functions

Abstract and Applied Analysis, 2014
In this present investigation, we first give a survey of the work done so far in this area of Hankel determinant for univalent functions. Then the upper bounds of the second Hankel determinant |a2a4−a32| for functions belonging to the subclasses S(α,β),
Ming-Sheng Liu, Jun-Feng Xu, Ming Yang
doaj   +1 more source

An exact estimate of the third Hankel determinants for functions inverse to convex functions

Математичні Студії, 2023
Invesigation of bounds for Hankel determinat of analytic univalent functions is prominent intrest of many researcher from early twenth century to study geometric properties.
B. Rath, K. S. Kumar, D. V. Krishna
doaj   +1 more source

Sharp estimate for starlikeness related to a tangent domain

AIMS Mathematics
In the recent years, the study of the Hankel determinant problems have been widely investigated by many researchers. We were essentially motivated by the recent research going on with the Hankel determinant and other coefficient bounds problems.
Mohammad Faisal Khan, Jongsuk Ro , Muhammad Ghaffar Khan   +2 more
doaj   +1 more source

Random Matrix Models, Double-Time Painlev\'e Equations, and Wireless Relaying

, 2013
This paper gives an in-depth study of a multiple-antenna wireless communication scenario in which a weak signal received at an intermediate relay station is amplified and then forwarded to the final destination.
Chen, Yang, Haq, Nazmus S., McKay, Matthew R.   +2 more
core   +2 more sources

On the Upper Bound of the Third Hankel Determinant for Certain Class of Analytic Functions Related with Exponential Function

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In the present paper we introduce a new class of analytic functions f in the open unit disk normalized by f(0) = f′(0)−1 = 0, associated with exponential functions.
Breaz Daniel, Cătaş Adriana, Cotîrlă Luminiţa-Ioana   +2 more
doaj   +1 more source

Universally prestarlike functions associated with shell like domain

Математичні Студії, 2022
In this paper, we introduce universally prestarlike generalized functions of order $\vartheta $ with $\vartheta \leq 1$ associated with shell like domain, and we get coefficient bounds and the second Hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$ for such ...
K. Vijaya, G. Murugusundaramoorthy, S. Yalçın   +2 more
doaj   +1 more source

On the asymptotics of some large Hankel determinants generated by Fisher-Hartwig symbols defined on the real line

, 2005
We investigate the asymptotics of the determinant of N by N Hankel matrices generated by Fisher-Hartwig symbols defined on the real line, as N becomes large. Such objects are natural analogues of Toeplitz determinants generated by Fisher-Hartwig symbols,
Garoni, T. M.
core   +1 more source

Bound Associated with Certain Hankel Determinants and Zalcman Conjecture for Multivalent Functions of Bounded Turning [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we investigate for a sharp upper bound to certain generalized second Hankel determinant, the Zalcman conjecture and an upper bound for the third, fourth Hankel determinants for the class of multivalent analytic bounded turning functions ...
Deekonda Vamshee Krishna, Nallamothu Vani, Biswajit Rath, Karri Sanjay Kumar   +3 more
doaj   +1 more source

Performance Triggered Adaptive Model Reduction for Soil Moisture Estimation in Precision Irrigation

International Journal of Adaptive Control and Signal Processing, EarlyView.
ABSTRACT Accurate soil moisture information is essential for precise irrigation to enhance water use efficiency. Estimating soil moisture based on limited soil moisture sensors is especially critical for obtaining comprehensive soil moisture information when dealing with large‐scale agricultural fields.
Sarupa Debnath, Bernard Twum Agyeman, Soumya Ranjan Sahoo, Xunyuan Yin, Jinfeng Liu   +4 more
wiley   +1 more source

Fiber Bragg Gratings with Micro‐Engineered Temperature Coefficients

Advanced Optical Materials, Volume 13, Issue 8, March 13, 2025.
Fiber Bragg gratings (FBGs) are intrinsically responsive to temperature and strain simultaneously. In this research, low‐loss FBGs with micro‐engineered temperature coefficients are fabricated, utilizing refractive index liquid‐filled microchannels in the cladding.
Zipei Song, Mohan Wang, Frank P. Payne, Patrick S. Salter, Tongyu Liu, Steve J. Elston, Martin J. Booth, Stephen M. Morris, Julian A. J. Fells   +8 more
wiley   +1 more source