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VEENA,V. HUSNA,S. RAJESHWARI The Korean Society for Computational and Applied M 2023 Journal of applied mathematics & informatics Vol.41 No.4
In this research article, we deal with the uniqueness of entire and meromorphic functions when two linear differential polynomial share a non-zero value and obtain some results.
5 REGULAR PARTITIONS WITH DISTINCT ODD PARTS
VEENA V. S.,FATHIMA S. N. 장전수학회 2021 Advanced Studies in Contemporary Mathematics Vol.31 No.2
In this article, we prove infinite families of congruences for pod5(n) (the number of 5-regular partitions of n with distinct odd parts (and even parts are unrestricted)) using the theory of Hecke eigenforms. We also study the divisibility properties of pod5(n) using the arithmetic properties of modular forms.
ON ANDREWS’ PARTITION FUNCTION EO(n)
Fathima S. N.,Veena V. S. 장전수학회 2020 Proceedings of the Jangjeon mathematical society Vol.23 No.3
Recently, Andrews introduced partition functions EO(n) and EO(n) where the function EO(n) denotes the number of partitions of n in which every even part is less than each odd part and the function EO(n) denotes the number of partitions enumerated by EO(n) in which only the largest even part appears an odd number of times. In this paper, we prove new congruences for EO(n) and pD(n), the number of partitions into distinct (or, odd) parts. We further establish linear recurrence relations for pD(n), which counts the number of partitions of n into distinct parts with 2 types of each part and EO(n).
Beena R.,Veena V.,Jaslam M. P. K.,Nithya N.,Adarsh V. S. 한국작물학회 2021 Journal of crop science and biotechnology Vol.24 No.5
Ninety landraces of rice were evaluated for various physio-morphological traits in completely randomized design with two treatment levels, i.e. control and high-temperature stress (3–5 °C) more than the ambient condition with three replications each. The high-temperature stress was induced from panicle initiation to maturity stage by keeping the pots in a temperaturecontrolled green house facility. High values of genotypic coefcient of variability, phenotypic coefcient of variability, heritability and genetic advance were found for the traits number of unflled grains/panicle and number of flled grains/ panicle, indicating the pre-ponderance of additive gene action and, therefore, scope for improvement of the trait through selection. Four principle components were depicted having Eigen value>1 and cumulative variation of 59.84%. Based on the performances of various physio-morphological traits under control and heat stress conditions, we were able to identify Karuthacheera, LN-9956-Vellakaravala (Pavumba) and Pokkali white were recorded the highest number of fertile grains under high temperature.
Some congruence properties for -regular partitions, where l ∈ {4, 8, 13, 17, 19, 25, 40, 55}
P. Murugan,V. S. Veena,S. N. Fathima 장전수학회 2023 Proceedings of the Jangjeon mathematical society Vol.26 No.2
Some congruence properties for -regular partitions, where l ∈ {4, 8, 13, 17, 19, 25, 40, 55}
Partition energy of some lexicographic product of two graphs
M. A. Sriraj,B. C. Shwetha,C. R. Veena,S. V. Roopa 장전수학회 2022 Proceedings of the Jangjeon mathematical society Vol.25 No.4
In this paper, we consider some lexicographic product of two graphs G and H of the form Gm(Hn) and determine its m-partition energy. Also,we determine the partition energy with respect to their m-complement and m(i)-complement.