1,652 research outputs found
Fox H functions in fractional diffusion
No full textAbstractThe H functions, introduced by Fox in 1961, are special functions of a very general nature, which allow one to treat several phenomena including anomalous diffusion in a unified and elegant framework. In this paper we express the fundamental solutions of the Cauchy problem for the space–time fractional diffusion equation in terms of proper Fox H functions, based on their Mellin–Barnes integral representations. We pay attention to the particular cases of space-fractional, time-fractional and neutral-fractional diffusion
Some generating functions for the Jacobi polynomials
No full textAbstractA certain family of generating functions for the classical Jacobi polynomials, given earlier by R.K. Saxena and Z. Hussain [1], are observed here to be derivable directly from some known (and readily available) results in the literature. An interesting generalization of the aforementioned generating functions emerges naturally in the process. Some relevant connections of these results with various known generating functions are also pointed out
Family History of Elizabeth R.K. Draper
No full textThe Family History of
Elizabeth R.K. Draper
30 APRIL 2023
Elizabeth Rose Kaye Draper authored this family history as part of the course requirements for HIST 550 Your Family in History offered online in Fall 2022 and was submitted to the Pittsburg State University Digital Commons. Please contact the author directly with any questions or comments: [email protected]
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License
Andreev-Korkin Identity, Saigo Fractional Integration Operator and LipL(α) Functions
No full textThe Andreev-Korkin identity for the Chebyshev functional is treated by Holder inequality, when the functional consists of LipL(α) functions. The derived upper bound is applied to the so-called Chebyshev-Saigo functional, built by Saigo fractional integral operator - recently introduced by Saxena et al. (R.K. Saxena, J. Ram, J. Daiya, and T.K. Pogany - Integral Tranforms Spec. Funct. 22 (2011), 671-680).К тождеству Андреева-Коркина для функционала Чебышева с функциями применяется неравенство Гёльдера. Полученная верхняя граница применяется к так называемому функционалу Чебышева-Сеге, построенному при помощи оператора Сеге дробного интегрирования, предложенного недавно Р.К. Саксеной и др. (R.K. Saxena, J. Ram, J. Daiya, and T.K. Pogány. - Integral Tranforms Spec. Funct. 22 (2011), 671-680).The authors are grateful to the anonymous reviewer for the useful advices and suggestions which significantly improved the quality of the article, especially, remarking a lack in Definition 3.1
Future Prospects
No full textPigeonpea with limited genetic diversity in the cultivated gene pool, long
crop cycle, almost negligible public funding support to research as
compared to other food crops remained an orphan crop. However, the
development of extensive genetic stocks and genomics resources in recent
years has made significant advances in pigeonpea research. Although
genome sequence, genetic maps and a large set of markers allowed
genome-wide identification of marker–traits associations and their
deployment in breeding programs, there is a need for concerted
community efforts to accelerate genetic gains in the crop breeding
programs. This chapter proposes the use of a number of approaches that
may be targeted by pigeonopea research community so that superior
varieties or hybrids can be developed and disseminated to farmers in
relatively short time. This will help to enhance the income of farmers as
well as contributing to the food, nutritional and environmental sustainability
in developing countries
Production of 1, 3 regiospecific lipase from Bacillus sp. RK-3: Its potential to synthesize Cocoa Butter Substitute
No full textPurification of soul in R.K. Narayan's, The Guide
No full textR.K. Narayan is one of the most well known novelist in India who writes in English. He is well known for his depiction and humourous writing on Indian society and culture. R.K. Narayan is essentially a storyteller, whose sensitive, well-drawn portrayals of twentieth-century Indian life were set mostly in the fictional South Indian town of Malgudi. Most of his novels capture many Indian traits while having a unique identity of their own. The Guide, which is also set in the town of Malgudi is written in a simple style, unpretentious, and witty with a unique flavour as if he was writing in the native mother tongue. The story seems to depict the everyday life of the simple characters in a rather amusing and comical way. But at the same time one can‘t help to wonder if R.K Narayan, who is hailed as a master story teller of India, has only the motive of entertaining and being comical in this book. I belief R.K Narayan has a wider and rather philosophical message beneath his work. From pages to pages of this novel, I noticed how the author holds dear to the age old philosophy that underlines the core of Hinduism –the law of Karma. Therefore, to understand The Guide,one needs to understand the theological aspects of Hinduism. This novel actually takes the readers on a journey of Hinduism and shows how the transition and purification of a Hindu soul takes place through the main character, Raju. Narayan shows how Raju, a character full of flaws goes through different phases in his life to redeem his sins and become a changed person towards the end
Key Plant and Grain Characteristics and Their Importance in Breeding and Adaptation of Pigeonpea Cultivars
No full textComplexity of yield formation is well understood by all, and there is no specific formula for breeding high-yielding cultivars. Breeders, however for a long time, have relied on selecting various individual traits, which, they thought, will contribute to yield formation directly or indirectly, and in these ways, successes have been achieved in almost all the crops. In pigeonpea, the most important individual plant traits, known to be linked to seed yield are number of pods, primary and secondary branches, and pod-bearing bunches. All these traits are quantitative in nature and have low heritability. In this paper, an attempt has been made to identify various qualitative and quantitative traits related to seed yield, quality, and those preferred for marketing and milling. A brief description about their inheritance and association with yield has also been provided to help breeders in decision-making
Whole-Genome Sequencing of Pigeonpea: Requirement, Background History, Current Status and Future Prospects for Crop Improvement
No full textDespite of being a very important crop, pigeonpea did not have genomic resources until 2005. Pigeonpea Genomics Initiative (PGI) supported by Indian Council of Agricultural Research (ICAR) under Indo-US Agriculture Knowledge Initiative was the first major initiative that delivered first set of molecular markers in large numbers, first set of mapping populations, first set of transcriptome assemblies, etc. Subsequently, two consortia—1) International Initiative for Pigeonpea Genomics (IIPG), led by International Crops Research Institute for the Semi-Arid Tropics (ICRISAT) and 2) Led by National Research Centre on Plant Biotechnology (NRCPB)—delivered two draft genome assemblies for Asha (ICPL 87119) variety. In summary, all these genomic resources transformed pigeonpea from an ‘orphan crop’ to ‘genomics resources-rich crop’. After publication of draft genome sequences, a detailed plan was developed to utilize draft genome information for pigeonpea improvement. This plan in the form of a proposal was approved by Ministry of Agriculture, Government of India and United States Agency for International Development (USAID)—India. In addition to this major project, two additional projects were funded by Department of Biotechnology, Government of India. All these efforts have established high-density genotyping platforms such as genotyping by sequencing (GBS) and ‘Axiom® CajanusSNP Array’, produced the first generation HapMap, generated whole-genome re-sequencing data of >400 pigeonpea lines, evaluated several mapping populations for desired traits, established marker–trait association for several traits of interest to breeders and also identified best-performing lines. Additionally, multi-parent advance generation inter-cross (MAGIC) and nested association mapping (NAM) populations are being developed. With the availability of above-mentioned information, next few years will be witnessing application of genomics-assisted breeding for pigeonpea improvement. It is anticipated that improved pigeonpea lines developed through genomics interventions will reach to farmers’ fields and elevate the game towards pulse sufficiency for poor farmers in arid and semi-arid regions of the world in near future
Informetrics on M. N. Srinivas
No full textM. N. Srinivas, the well known sociologist is widely recognised as architect of modern Indian sociology and social anthropology. His publications have been analysed by year, domain, authorship pattern, channels of communication used. Keywords, etc. The results indicate that the papers published by him are of a nature that qualify him to be a 'role model' for the younger generations to emulate.
By the end of 1995, Srinivas had to his credit 144 papers which, included 33 broad papers in sociology and anthropology; 18 papers in social change; 28 papers in village studies; 12 papers on religion; 17 papers on caste and 36 papers of general popular interest. The periods 1958-61 and 1974-77, when Srinivas was 38-41 and 58-61 years old. were his most productive periods with highest publication activity
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