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Finding results for certain relatives of the Appell polynomials
Mahvish Ali,Subuhi Khan 대한수학회 2019 대한수학회보 Vol.56 No.1
In this article, a hybrid family of polynomials related to the Appell polynomials is introduced. Certain properties including quasi-monomiality, differential equation and determinant definition of these polynomials are established. Further, applications of Carlitz's theorem to these polynomials and to certain other related polynomials are considered. Examples providing the corresponding results for some members belonging to this family are also considered.
FINDING RESULTS FOR CERTAIN RELATIVES OF THE APPELL POLYNOMIALS
Ali, Mahvish,Khan, Subuhi Korean Mathematical Society 2019 대한수학회보 Vol.56 No.1
In this article, a hybrid family of polynomials related to the Appell polynomials is introduced. Certain properties including quasimonomiality, differential equation and determinant definition of these polynomials are established. Further, applications of Carlitz's theorem to these polynomials and to certain other related polynomials are considered. Examples providing the corresponding results for some members belonging to this family are also considered.
( Tripathi C. K. M. ),( Mahvish Khan ),( Vandana Praveen ),( Saif Khan ),( Akanksha Srivastava ) 한국미생물 · 생명공학회 2012 Journal of microbiology and biotechnology Vol.22 No.7
Antibiotic production with Streptomyces sindenensis MTCC 8122 was optimized under submerged fermentation conditions by artificial neural network (ANN) coupled with genetic algorithm (GA) and Nelder-Mead downhill simplex (NMDS). Feed forward back-propagation ANN was trained to establish the mathematical relationship among the medium components and length of incubation period for achieving maximum antibiotic yield. The optimization strategy involved growing the culture with varying concentrations of various medium components for different incubation periods. Under non-optimized condition, antibiotic production was found to be 95 μg/ml, which nearly doubled (176 μg/ml) with the ANN-GA optimization. ANN-NMDS optimization was found to be more efficacious, and maximum antibiotic production (197 μg/ml) was obtained by cultivating the cells with (g/l) fructose 2.7602, MgSO4 1.2369, (NH4)2PO4 0.2742, DL-threonine 3.069%, and soyabean meal 1.952%, for 9.8531 days of incubation, which was roughly 12% higher than the yield obtained by ANN coupled with GA under the same conditions.
Yasin Muhammad Ilyas,Khan M. I.,Kanwal Shamsa,ALResheedi Dalil Bulayis N.,Fatima Mahvish,Alwadai Norah,Yousef El Sayed,Ihtisham-ul-haq,Iqbal Munawar 한국세라믹학회 2024 한국세라믹학회지 Vol.61 No.4
According to reports, a unique method to improve the efficiency of titanium dioxide (TiO 2) dye-sensitized solar cells (DSSCs) involves inserting foreign ions into the material’s lattice structure before forming the heterostructure. The sol–gel technique has been used to produce films of TiO 2, Cr–TiO 2, TiO 2@Cr–TiO 2, and Cr–TiO 2@TiO 2. A small quantity of rutile phase with the anatase phase was observed in heterostructures, and XRD validated the anatase phase of pure Cr–TiO 2@TiO 2, which contains a large grain size (46 nm). SEM presents numerous well-formed, homogenous grains in the structure of Cr–TiO 2@ TiO 2, providing a large surface area for dye loading in DSSCs. Among all samples, Cr–TiO 2@TiO 2 exhibits a small band gap (Eg) (3.2 eV), and high transmittance in the visible spectrum has been observed by UV–Vis spectroscopy. The Cr–TiO 2@ TiO 2 cell demonstrates high Jsc (7.69 mA-cm −2), Voc (0.79 V), and effi ciency (4.57%). The small recombination resistance, verifi ed from EIS, is responsible for this high efficiency.