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  • Author or Editor: M. Qazi x
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Abstract  

Let f be an entire function of exponential type satisfying the condition

\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$f(z) \equiv e^{i\gamma } e^{i\tau z} \overline {f(\bar z)}$$ \end{document}
for some real γ. Lower and upper estimates for ∫−∞ |f′(x)|p dx in terms of ∫−∞ |f(x)|p dx, for such a function f belonging to L p(R), have been known in the case where p ∊ [1, ∞) and γ = 0. In this paper, these estimates are shown to hold for any p ∊ (0, ∞) and any real γ.

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Abstract  

The production of bulk high T c superconducting phase (2223) by EDTA-gel (ethylenediaminetetraacetic acid) techniques has been investigated. It is shown that close control of pH is necessary for the production of a well-complexed precursor which allows subsequent decomposition in two stages at 300 and 800�C. The problem of carbonate formation was investigated experimentally and solved. Precursors are characterised by Fourier transform infrared (FTIR) spectroscopy and X-ray diffraction (XRD) and the sintering behaviour was monitored by dilatometry. At least three different phases Bi2Sr2Cax−1CuxO8+y (BSCCO); where x=1, 2, 3 were identified within superconducting pellets using XRD, named as Bi2Sr2CuO7 (2201), Bi2Sr2CaCu2O9 (2212) and Bi2Sr2Ca3O10 (2223). The superconducting properties of the sintered samples were studied by vibrating sample magnetometer (VSM). Transition to a superconducting state around 80 K appeared in samples (sintered at 845�C) containing the Bi2Sr2Ca1Cu2Oy (2212) phase. Liquid phase sintering of the samples aided the formation of Bi2Sr2Ca2Cu3Ox (2223) phase at high temperature (860�C), which showed a superconducting transition temperature of 108 K.

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A novel camptothecin-producing endophytic fungus viz., Entrophospora infrequens was isolated from an important Indian medicinal plant Nothapodytes foetida . The present study reports evaluation of bioactivities of two novel extracts viz., chloroform (CEEI) and methanolic (MEEI) extracts of Entrophospora infrequens with respect to their immunomodulatory potential in vitro and in vivo (in Balb/c mice). The endophyte E. infrequens was found to synthesize camptothecin, which tested positive in CEEI. The immunomodulatory potential of CEEI and MEEI was compared with standard camptothecin (CPT). Doses of the chloroform extract (CEEI) ranging from 12.5–100 mg/kg body weight, significantly (p<0.05) stimulated the humoral and cell-mediated immune responses in a dose-dependent manner. MEEI on the other hand significantly (p<0.05) stimulated the delayed type hypersensitivity (DTH) reaction (by nearly 80%), plaque forming cell (PFC) assay (33%), phagocytic response (38%) and haemagglutination antibody (HA) titre [IgM by 79.07% and IgG by 62.05%] at a dose of 12.5 mg/kg body weight. The present study is the first report of the immunomodulatory potential of this neoteric camptothecin-producing endophyte from Nothapodytes foetida .

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