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Multivalent Harmonic Uniformly Starlike Functions
Ahuja, Om,Joshi, Santosh,Sangle, Naveneet Department of Mathematics 2009 Kyungpook mathematical journal Vol.49 No.3
In this paper, we investigate a generalized family of complex-valued harmonic functions that are multivalent, sense-preserving, and are associated with k-uniformly harmonic functions in the unit disk. The results obtained here include a number of known and new results as their special cases.
Functional role of ginseng-derived compounds in cancer
Ahuja, Akash,Kim, Ji Hye,Kim, Jong-Hoon,Yi, Young-Su,Cho, Jae Youl The Korean Society of Ginseng 2018 Journal of Ginseng Research Vol.42 No.3
Ginseng is a natural product best known for its curative properties in diverse physiological processes such as cancer, neurodegenerative disorders, hypertension, and maintenance of hemostasis in the immune system. In previous decades, there have been some promising studies into the pharmacology and chemistry of ginseng components and the relationship between their structure and function. The emerging use of modified ginseng and development of new compounds from ginseng for clinical studies have been topics of study for many researchers. The present review deals with the anticancer, anti-inflammatory, antioxidant, and chemopreventive effects, and recent advances in microRNA technology related to red ginseng. The review also summarizes the current knowledge on the effect of ginsenosides in the treatment of cancer.
Rheology of Hydrate-Forming Emulsions Stabilized by Surfactant and Hydrophobic Silica Nanoparticles
Ahuja, Amit,Iqbal, Anam,Iqbal, Mohsin,Lee, Jae W.,Morris, Jeffrey F. American Chemical Society 2018 Energy & fuels Vol.32 No.5
<P>Observed effects of hydrophobic fumed silica nanoparticles (of average primary particle size 7 nm) on the rheological behavior of hydrate-forming emulsions are presented. Liquid cyclopentane (CP) is the hydrate former. The hydrate slurry is prepared in a Couette geometry at atmospheric pressure from a water-in-oil emulsion with the phases density matched to avoid segregation. Hydrates are formed upon quenching to a low temperature at a fixed shear rate. Dispersed water droplets convert to hydrate particles, leading to an effective viscosity increase by orders of magnitude. The hydrate inhibition by silica nanoparticles at the water-oil interface, forming a Pickering type of emulsion, is characterized using the onset time of steep viscosity rise after seeding with small hydrate particles; this is termed the critical time. Seeding eliminates stochasticity associated with nucleation of the hydrate. The critical time is increased when the interface is covered with silica nanoparticles. For a particle concentration range of 0.05-0.5% (by weight based on total oil mass) at the interface, the hydrate crystallization process is delayed by 5 h in comparison to the particle-free case for a 20 vol % water-in-oil emulsion at <I>T</I> = −2 °C and shear rate of γ̇ = 100 s<SUP>-1</SUP>. The final hydrate slurry viscosity was the same as observed in the slurry with no particles. At particle concentrations greater than 1 wt %, the viscosity increased abruptly and ultimately jammed the rheometer during hydrate formation. A hypothesis is presented to explain this latter behavior and indicates some of the limitations of this method of inhibition by nanoparticles. A discussion of factors which may complicate application of the method in the field is provided.</P> [FIG OMISSION]</BR>
UPPER BOUNDS OF SECOND HANKEL DETERMINANT FOR UNIVERSALLY PRESTARLIKE FUNCTIONS
Ahuja, Om,Kasthuri, Murugesan,Murugusundaramoorthy, Gangadharan,Vijaya, Kaliappan Korean Mathematical Society 2018 대한수학회지 Vol.55 No.5
In [12,13] the researchers introduced universally convex, universally starlike and universally prestarlike functions in the slit domain ${\mathbb{C}}{\backslash}[1,{\infty})$. These papers extended the corresponding notions from the unit disc to other discs and half-planes containing the origin. In this paper, we introduce universally prestarlike generalized functions of order ${\alpha}$ with ${\alpha}{\leq}1$ and we obtain upper bounds of the second Hankel determinant ${\mid}a_2a_4-a^2_3{\mid}$ for such functions.
Spirallike and Robertson Functions of Complex Order with Bounded Boundary Rotations
Ahuja, Om,Cetinkaya, Asena,Kahramaner, Yasemin Department of Mathematics 2019 Kyungpook mathematical journal Vol.59 No.2
Using the concept of bounded boundary rotation, we investigate various properties of two new generalized classes of spirallike and Robertson functions of complex order with bounded boundary rotations.
Ahuja, Om P.,Cetinkaya, Asena,Bohra, Nisha The Honam Mathematical Society 2020 호남수학학술지 Vol.42 No.2
We introduce a new subclass of q-bi-univalent functions of complex order related to shell-like curves connected with the Fibonacci numbers. We obtain the coefficient estimates and Fekete-Szegö inequalities for the functions belonging to this class. Relevant connections with various other known classes have been illustrated.