Certain expansion formulae of incomplete H-functions associated with Leibniz rule

In this article, we have derived some expansion formulae of the incomplete H-functions by the use of the Leibniz rule for the Riemann-Liouville type derivatives. Further, expansion formulae of the incomplete Meijer’s G-function, incomplete Fox-Wright function and incomplete generalized hypergeometric function are derived as special cases of our main results.Publisher's Versio

Certain generating functions involving the incomplete I-functions

In this paper, we have derived a set of generating functions for incomplete I-functions. Bilateral along with linear generating relations are derived for incomplete I-functions. The results obtained are of a general nature, as special cases, the generating relations obtained for the incomplete I-functions.Publisher's Versio

Comparison of 16S rRNA gene sequences of genus Methanobrevibacter

BACKGROUND: The phylogeny of the genus Methanobrevibacter was established almost 25 years ago on the basis of the similarities of the 16S rRNA oligonucleotide catalogs. Since then, many 16S rRNA gene sequences of newly isolated strains or clones representing the genus Methanobrevibacter have been deposited. We tried to reorganize the 16S rRNA gene sequences of this genus and revise the taxonomic affiliation of the isolates and clones representing the genus Methanobrevibacter. RESULTS: The phylogenetic analysis of the genus based on 786 bp aligned region from fifty-four representative sequences of the 120 available sequences for the genus revealed seven multi-member groups namely, Ruminantium, Smithii, Woesei, Curvatus, Arboriphilicus, Filiformis, and the Termite gut symbionts along with three separate lineages represented by Mbr. wolinii, Mbr. acididurans, and termite gut flagellate symbiont LHD12. The cophenetic correlation coefficient, a test for the ultrametric properties of the 16S rRNA gene sequences used for the tree was found to be 0.913 indicating the high degree of goodness of fit of the tree topology. A significant relationship was found between the 16S rRNA sequence similarity (S) and the extent of DNA hybridization (D) for the genus with the correlation coefficient (r) for logD and logS, and for [ln(-lnD) and ln(-lnS)] being 0.73 and 0.796 respectively. Our analysis revealed that for this genus, when S = 0.984, D would be <70% at least 99% of the times, and with 70% D as the species "cutoff", any 16S rRNA gene sequence showing <98% sequence similarity can be considered as a separate species. In addition, we deduced group specific signature positions that have remained conserved in evolution of the genus. CONCLUSIONS: A very significant relationship between D and S was found to exist for the genus Methanobrevibacter, implying that it is possible to predict D from S with a known precision for the genus. We propose to include the termite gut flagellate symbiont LHD12, the methanogenic endosymbionts of the ciliate Nyctotherus ovalis, and rat feces isolate RT reported earlier, as separate species of the genus Methanobrevibacter

Biodegradation of petroleum-waste by biosurfactant-producing bacteria

Abstract The degradation of petroleum waste by mixed bacterial cultures which produce biosurfactants: (reaching up to 29 % in the first 72 h). Similarly, the toxicity of the biodegraded petroleum waste decreased 3 times after 30 days as compared to raw petroleum waste. Thus, the mixed bacterial strains effectively clean-up the petroleum waste and they can be used in other bioremediation processes

BIODEGRADATION OF PETROLEUM-WASTE BY BIOSURFACTANT-PRODUCING BACTERIA

The degradation of petroleum waste by mixed bacterial cultures which produce biosurfactants: Ralstonia pickettii SRS (BP-20), Alcaligenes piechaudii SRS (CZOR L-1B), Bacillus subtilis (1'- 1a), Bacillus sp. (T-1) and Bacillus sp. (T'-1) was investigated. The total petroleum hydrocarbons were degraded substantially (91 %) by the mixed bacterial culture in 30 days (reaching up to 29 % in the first 72 h). Similarly, the toxicity of the biodegraded petroleum waste decreased 3 times after 30 days as compared to raw petroleum waste. Thus, the mixed bacterial strains effectively clean-up the petroleum waste and they can be used in other bioremediation processes

Microbe-Based Strategy for Plant Nutrient Management

The rapid industrialization and urbanization of developing countries such as India have encroached on cultivable lands to meet the demands of an ever-increasing population. The altered land use patterns with increased fertilizer use has increased crop yields with leaching of major portion of the applied nutrients from the soil. Nitrates and phosphates are the agricultural pollutants that are discharged into aquifers due to anthropogenic reasons causing severe environmental and health problems. Production of these nutrients requires energy and finite resources (rock phosphate, which has gradually depleting reserves). An alternative management strategy would be to sequester excess nutrients within a biomass that is reused for agriculture. Two discrete enriched microbial consortia with the potential of simultaneous nitrate and phosphate sequestration upon application as biofertilizer restricted them within the plant root zone, ensuring prevention of eutrophication through leaching while making it available for uptake by plants. The nutrient accumulated biomass enhanced the crop yield by 21.88% during mung bean cultivation with maintained elemental content and other nutritional qualities. The major drawback of conventional biofertilizer application (slow release and action) could be overcome using this formulation leading to environmental protection, crop yield enhancement and soil fertility maintenance post-cultivation

Novel Microbial System Developed from Low-Level Radioactive Waste Treatment Plant for Environmental Sustenance

A packed bed bioreactor efficiently treated low-level radioactive waste for years with a retention time of 24 h using acetate as the sole carbon source. However, there was generation of dead biomass. This bioreactor biomass was used to develop a bacterial consortium, which could perform the function within 4 h while simultaneously accumulating nitrate and phosphate. The dead mass was negligible. Serial dilution technique was used to isolate the world’s first pure culture of a nitrate accumulating strain from this consortium. This isolate could simultaneously accumulate nitrate and phosphate from solution. Its ability to form biofilm helped develop a packed bed bioreactor system for waste water treatment, which could optimally remove 94.46% nitrate within 11 h in batch mode while 8 h in continuous mode from waste water starting from 275 ppm of nitrate. The conventional approach revealed the strain to be a member of genus Bacillus but showed distinct differences with the type strains. Further insilico analysis of the draft genome and the putative protein sequences using the bioinformatics tools revealed the strain to be a novel variant of genus Bacillus. The sequestered nitrate and phosphate within the cell were visualized through electron microscopy and explained the reason behind the ability of the isolate to accumulate 1.12 mg of phosphate and 1.3 gm of nitrate per gram of wet weight. Transcriptome analysis proposed the mechanism behind the accumulation of nitrate and phosphate in case of this novel bacterial isolate (MCC 0008). The strain with the sequestered nutrients work as biofertilizer for yield enhancement in case of mung bean while maintaining soil fertility post-cultivation

On Gru ̈ ss Type Inequality Involving a Fractional Integral Operator with a Multi-Index Mittag-Leffler Function as a Kernel

Manydisciplinesofpureandappliedmathematicshavefoundfractionalintegralinequalitiestobeoneofthemostsignificant and powerful instruments for their progress. These inequalities get a variety of applications in numerical quadrature, transform theory, probability, and statistical problems, however the most relevant one is determining the uniqueness of fractional boundary value problem solutions. They also offer upper and lower limits for the solutions to the equations above. Among this article, we define an integral inequality of Gru ̈ss type linked to the bounded integrable function associated with the fractional integral operator, which involves the generalized multi-index Mittag-Leffler function as a kernel. Our key finding is of a general nature and may give rise, as a special case, to integral inequalities of the type Gru ̈ss representing different fractional integral operators described in the literature

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Not AvailableIndian arid regions recently witnessed large scale mortality in the Indian mesquite (Prosopis cineraria Druce), locally known as Khejri tree, due to root rot caused by Ganoderma lucidum. Use of biological control agents ofers an attractive alternative to manage Ganoderma induced diseases in Khejri tree, without any negative impact on the environment. Therefore, eforts were made to isolate antagonistic bacterial isolates from infected trees of P. cineraria. Several soil samples were analysed and two bacterial isolates: strains AZAC-1and AZ-11were selected as potential antagonists against G.lucidum from arid soils. Taxonomic identity of the two strains was ascertained using 16S rRNA in EzBioCloud. The strains showed over 99.7% similarity and were identifed as Streptomyces sp.strain AZAC-1 (MK459414) and Bacillus sp.strain AZ-11(MH304296)Not Availabl