Search

Layered double hydroxides have recently gained wide interest as promising multifunctional nanomaterials. In this work, a multifunctional ternary Zn–Co–Fe LDH was prepared and characterized using XRD, FTIR, BET, TEM, SEM, and EDX. This LDH showed a typical XRD pattern with a crystallite size of 3.52 nm and a BET surface area of 155.9 m2/g. This LDH was investigated, for the first time, as an adsorbent for moxifloxacin, a common fluoroquinolones antibiotic, showing a maximum removal efficiency and equilibrium time of 217.81 mg/g and 60 min, respectively. Its antifungal activity, for the first time, was investigated against Penicillium notatum, Aspergillus flavus, Aspergillus fumigatus, Aspergillus niger, and Mucor fungi at various concentrations (1000–1.95 µg/mL). This LDH was found to be effective against a variety of fungal strains, particularly Penicillium and Mucor species and showed zones of inhibition of 19.3 and 21.6 mm for Penicillium and Mucor, respectively, with an inhibition of 85% for Penicillium species and 68.3% for Mucormycosis. The highest antifungal efficacy results were obtained at very low MIC concentrations (33.3 and 62 µg/ml) against Penicillium and Mucor, respectively. The results of this study suggest a promising multifunctional potential of this LDH for water and wastewater treatment and disinfection applications. [ABSTRACT FROM AUTHOR]

The main object of this paper is to deduce the bibasic Humbert functions Ξ1 and Ξ2 Some interesting results and elementary summations technique that was successfully employed, q–recursion, q–derivatives relations, the q–differential recursion relations, the q–integral representations for Ξ1 and Ξ2 are given. The summation formula derives a list of p–analogues of transformation formulas for bibasic Humbert functions that have been studied, also some hypergeometric functions properties of some new interesting special cases have been given. [ABSTRACT FROM AUTHOR]

Inspired by the recent work Sahin and Agha gave recursion formulas for G 1 and G 2 Horn hypergeometric functions (Sahin and Agha in Miskolc Math Notes 16(2):1153–1162, 2015). The object of work is to establish several new recursion relations, relevant differential recursion formulas, new integral operators, infinite summations and interesting results for Horn’s hypergeometric functions G 1 , G 2 and G 3 . [ABSTRACT FROM AUTHOR]

The main objective of this work is to present some important results and formulas in the theory of Humbert matrix functions by using the concepts of matrix functional calculus. We define Humbert matrix functions assuming that not all the matrices involved are commuting. We show that these two variable Humbert matrix functions follow naturally as confluent cases of Appell matrix functions. We determine their regions of convergence, integral representations, transformation formulas, summation formulas, contiguous relations and matrix differential equations satisfied by them. [ABSTRACT FROM AUTHOR]

The aim of this present paper is to investigate an interesting generating matrix relations for generalized Hermite-type matrix polynomials by the application of the Lie group-theoretic method. Based on the Weisner's group theoretic method, we derived some properties for these generalized Hermite-type matrix polynomials. Some applications of the result are also given here. [ABSTRACT FROM AUTHOR]

The Hermite matrix polynomials have been generalized in a number of ways, and many of these generalizations have been shown to be important tools in applications. In this paper, we introduce a new generalization of the Hermite matrix polynomials and present the recurrence relations and the expansion of these new generalized Hermite matrix polynomials. We also give new series expansions of the matrix functions $$\exp (xB)$$ , $$\sin (xB)$$ , $$\cos (xB)$$ , $$\cosh (xB)$$ and $$\sinh (xB)$$ in terms of these generalized Hermite matrix polynomials and thus prove that many of the seemingly different generalizations of the Hermite matrix polynomials may be viewed as particular cases of the two-variable polynomials introduced here. The generalized Chebyshev and Legendre matrix polynomials have also been introduced in this paper in terms of these generalized Hermite matrix polynomials. [ABSTRACT FROM AUTHOR]

Abstract: This paper is motivated by an open problem of Luke’s theorem. We consider the problem of developing a unified point of view on the theory of inequalities of Humbert functions and of their general ratios are obtained. Some particular cases and refinements are given. Finally, we obtain some important results involving inequalities of Bessel and Whittaker’s functions as applications. [Copyright &y& Elsevier]

The purpose of this work is to demonstrate several interesting contiguous function relations and q-differential formulas for basic Horn hypergeometric functions H 3 and H 4 . Some properties of our main results are also constructed. [ABSTRACT FROM AUTHOR]