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A CLASS OF MULTIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS DEFINED BY CONVOLUTION
Ali Rosihan M.,Khan M. Hussain,Ravichandran V.,Subramanian K.G. Korean Mathematical Society 2006 대한수학회보 Vol.43 No.1
For a given p-valent analytic function g with positive coefficients in the open unit disk $\Delta$, we study a class of functions $f(z) = z^p - \sum\limits{_{n=m}}{^\infty} a_nz^n(a_n{\geq}0)$ satisfying $$\frac 1 {p}{\Re}\;(\frac {z(f*g)'(z)} {(f*g)(z)})\;>\;\alpha\;(0{\leq}\;\alpha\;<\;1;z{\in}{\Delta})$$ Coefficient inequalities, distortion and covering theorems, as well as closure theorems are determined. The results obtained extend several known results as special cases.
A Class of Multivalent Functions with Negative Coefficients Defined by Convolution
R. M. Ali,M. H. Khan,V. Ravichandran,K. G. Subramanian 대한수학회 2006 대한수학회보 Vol.43 No.1
For a given $p$-valent analytic function $g$ with positive coefficients in the open unit disk $\UD$, we study a class of functions $f(z)=z^p-\sum_{n=m}^\infty a_nz^n$\ ($a_n\geq 0$) satisfying \[ \frac{1}{p}\Re \left( \frac{z(f*g)'(z)}{(f*g)(z)}\right) > \alpha\quad (0\leq \alpha<1; z\in\Delta).\] Coefficient inequalities, distortion and covering theorems, as well as closure theorems are determined. The results obtained extend several known results as special cases.
Ayaz Ahmed, K.B.,Subramanian, S.,Sivasubramanian, A.,Veerappan, G.,Veerappan, A. Pergamon 2014 Spectrochimica acta. Part A, Molecular and biomole Vol.130 No.-
The current study deals with the synthesis of gold nanoparticles (AuNPs) using Salicornia brachiata (Sb) and evaluation of their antibacterial and catalytic activity. The SbAuNPs showed purple color with a characteristic surface plasmon resonance peak at 532nm. Scanning electron microscopy and transmission electron microscopy revealed polydispersed AuNPs with the size range from 22 to 35nm. Energy dispersive X-ray and thin layer X-ray diffraction analysis clearly shows that SbAuNPs was pure and crystalline in nature. As prepared gold nanoparticles was used as a catalyst for the sodium borohydride reduction of 4-nitro phenol to 4-amino phenol and methylene blue to leucomethylene blue. The green synthesized nanoparticles exhibited potent antibacterial activity against the pathogenic bacteria, as evidenced by their zone of inhibition. In addition, we showed that the SbAuNPs in combination with the regular antibiotic, ofloxacin, exhibit superior antibacterial activity than the individual.
( Uma L. K. Selvaraj ),( R. Manjula ),( G. Subramanian ),( Sanjay Nagarkar ) 한국미생물 · 생명공학회 2002 Journal of microbiology and biotechnology Vol.12 No.4
The current study demonstrates the ability of the marine cyanobacterium Oscillatoria willei BDU130511 to disinfect raw sewage. Within a holding time of 3 h under laboratory conditions, the organism drastically reduced in the total bacterial and coliform counts at various pH levels, in both unbuffered and buffered sewage, thereby suggesting a potential role for cyanobacteria in wastewater treatment.
A new record of monogeneric family Vietnamellidae (Insecta: Ephemeroptera) from India
C. Selvakumar,Bikramjit Sinha,M. Vasanth,K.A. Subramanian,K.G. Sivaramakrishnan 한국응용곤충학회 2018 Journal of Asia-Pacific Entomology Vol.21 No.3
A new record of monogeneric family Vietnamellidae (Insecta: Ephemeroptera) is established for India with Vietnamella sp. A described based on the larvae from Arunachal Pradesh, India. This species can be distinguished from other known species of this genus in the larval stage by the following combination of characters: (i) outer pair of projections in head large and stout, triangular, cone-shaped with serrated spines; (ii) posterolateral angles of abdominal terga 2–9 extended into sharp projections; (iii) caudal filaments pale yellowish brown with dense lateral setae on inner and outer margins of middle part; (iv) femora of mid- and hind-legs broader; and (v) second segment of the maxillary palpi shorter than first segment.