The aim of this present paper is to investigate 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.

Mathematical inequalities and other results involving such widely- and extensively-studied special functions of mathematical physics and applied mathematics as (for example) the Bessel, Struve and Lommel functions as well as the associated hypergeometric functions are potentially useful in many seemingly diverse areas of applications, especially in situations in which these functions are involved in solutions of mathematical, physical and engineering problems which can be modeled by ordinary and partial differential equations. With this objective in view, our present investigation is motivated by some open problems involving inequalities for a number of particular forms of the hypergeometric function 1F2(a; b, c; z). Here, in this paper, we apply a novel approach to such problems and obtain presumably new two-sided inequalities for the Struve function, the associated Struve function and the modified Struve function by first investigating inequalities for the general hypergeometric function 1F2(a; b, c; z). We also briefly discuss the analogous new inequalities for the Lommel function under some conditions and constraints. Finally, as special cases of our main results, we deduce several inequalities for the modified Lommel function and the normalized Lommel function.

By using the generating-function method as a starting point, the authors construct several (presumably new) basic (or q-) extensions of the Humbert function. Various potentially useful properties of these q-Humbert functions including (for example) explicit representations, recurrence relations and differential recurrence relations are derived by applying the defining generating functions.

Objective(s): Heat stress (HS) is a catastrophic stressor that dampens immunity. The current study investigates the effect of dietary administration with camel whey protein (CWP) on apoptotic pathway caused by HS.
Materials and Methods: Forty-five male mice were divided into three groups: a control group; HS group; and HS mice that were orally supplemented with CWP (CWP-HS group).
Results: We found that reactive oxygen species (ROS), pro-inflammatory cytokines (IL-6), and C reactive protein (CRP) were elevated in the HS group along with a significant increase of caspase-9 and -3 and decrease of total antioxidant capacity (TAC). HS mice revealed impaired phosphorylation of Bcl-2 and Survivin, as well as increased expression of Bax, Bim and cytochrome C. Additionally, we observed an aberrant distribution of HSP-70 expressing lymphocytes in the spleen and thymus
of HS mice. Moreover, histopathological examination showed alterations on the architectures of immune organs. In comparison with CWP-HS group, we found that CWP restored the levels of ROS, IL-6, TAC and CRP induced by HS. Furthermore, CWP restored the expression of Bcl-2/Bax, improved the histopathological changes in immune organs and HSP-70 distribution in the spleen and thymus.
Conclusion: Our findings revealed the possible ameliorative role of CWP supplementation against damages induced by exposure to HS.

Objective(s): Heat stress (HS) is a catastrophic stressor that dampens immunity. The current study investigates the effect of dietary administration with camel whey protein (CWP) on apoptotic pathway caused by HS.
Materials and Methods: Forty-five male mice were divided into three groups: a control group; HS group; and HS mice that were orally supplemented with CWP (CWP-HS group).
Results: We found that reactive oxygen species (ROS), pro-inflammatory cytokines (IL-6), and C reactive protein (CRP) were elevated in the HS group along with a significant increase of caspase-9 and -3 and decrease of total antioxidant capacity (TAC). HS mice revealed impaired phosphorylation of Bcl-2 and Survivin, as well as increased expression of Bax, Bim and cytochrome C. Additionally, we observed an aberrant distribution of HSP-70 expressing lymphocytes in the spleen and thymus
of HS mice. Moreover, histopathological examination showed alterations on the architectures of immune organs. In comparison with CWP-HS group, we found that CWP restored the levels of ROS, IL-6, TAC and CRP induced by HS. Furthermore, CWP restored the expression of Bcl-2/Bax, improved the histopathological changes in immune organs and HSP-70 distribution in the spleen and thymus.
Conclusion: Our findings revealed the possible ameliorative role of CWP supplementation against damages induced by exposure to HS.

Effect of annealing temperature on the structural and optical properties of As30Te60Ga10 thin film was studied using various techniques such as differential scanning calorimetry (DSC), X-ray diffraction (XRD) and scanning electron microscopy (SEM). The DSC analysis revealed that the As30Te60Ga10 glass has a single glass transition and crystallization peak while XRD results confirmed that the as-prepared and annealed films have crystalline nature. The coexistence of the crystalline phases in the investigated films could be attributed to the formation of orthorhombic As, hexagonal Ga7Te10, and monoclinic As2Te3 phases. It was found that the average crystallite size and optical parameters of the studied films depend on the annealing temperature. For example, the optical band gap decreased from 1.54 eV to 1.11 eV as the annealing temperature increased from 300 K to 433 K.

Effect of annealing temperature on the structural and optical properties of As30Te60Ga10 thin film was studied using various techniques such as differential scanning calorimetry (DSC), X-ray diffraction (XRD) and scanning electron microscopy (SEM). The DSC analysis revealed that the As30Te60Ga10 glass has a single glass transition and crystallization peak while XRD results confirmed that the as-prepared and annealed films have crystalline nature. The coexistence of the crystalline phases in the investigated films could be attributed to the formation of orthorhombic As, hexagonal Ga7Te10, and monoclinic As2Te3 phases. It was found that the average crystallite size and optical parameters of the studied films depend on the annealing temperature. For example, the optical band gap decreased from 1.54 eV to 1.11 eV as the annealing temperature increased from 300 K to 433 K.

Effect of annealing temperature on the structural and optical properties of As30Te60Ga10 thin film was studied using various techniques such as differential scanning calorimetry (DSC), X-ray diffraction (XRD) and scanning electron microscopy (SEM). The DSC analysis revealed that the As30Te60Ga10 glass has a single glass transition and crystallization peak while XRD results confirmed that the as-prepared and annealed films have crystalline nature. The coexistence of the crystalline phases in the investigated films could be attributed to the formation of orthorhombic As, hexagonal Ga7Te10, and monoclinic As2Te3 phases. It was found that the average crystallite size and optical parameters of the studied films depend on the annealing temperature. For example, the optical band gap decreased from 1.54 eV to 1.11 eV as the annealing temperature increased from 300 K to 433 K.

Effect of annealing temperature on the structural and optical properties of As30Te60Ga10 thin film was studied using various techniques such as differential scanning calorimetry (DSC), X-ray diffraction (XRD) and scanning electron microscopy (SEM). The DSC analysis revealed that the As30Te60Ga10 glass has a single glass transition and crystallization peak while XRD results confirmed that the as-prepared and annealed films have crystalline nature. The coexistence of the crystalline phases in the investigated films could be attributed to the formation of orthorhombic As, hexagonal Ga7Te10, and monoclinic As2Te3 phases. It was found that the average crystallite size and optical parameters of the studied films depend on the annealing temperature. For example, the optical band gap decreased from 1.54 eV to 1.11 eV as the annealing temperature increased from 300 K to 433 K.

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