In this paper, the general calculation formulas of radial matrix elements for relativistic n-dimensional hydrogen atom of spin S=0 are obtained, and the recurrence relation of different power order radial matrix eleme...In this paper, the general calculation formulas of radial matrix elements for relativistic n-dimensional hydrogen atom of spin S=0 are obtained, and the recurrence relation of different power order radial matrix elements are also derived.展开更多
In this paper explicit expressions and some recurrence relations are derived for marginal and joint moment generating functions of generalized order statistics from Erlang-truncated exponential distribution. The resul...In this paper explicit expressions and some recurrence relations are derived for marginal and joint moment generating functions of generalized order statistics from Erlang-truncated exponential distribution. The results for k-th record values and order statistics are deduced from the relations derived. Further, a characterizing result of this distribution on using the conditional expectation of function of generalized order statistics is discussed.展开更多
In this paper,we obtain some new results on bilateral generating functions of the modified Laguerre polynomials.We also get generating function relations between the modified Laguerre polynomials and the generalized L...In this paper,we obtain some new results on bilateral generating functions of the modified Laguerre polynomials.We also get generating function relations between the modified Laguerre polynomials and the generalized Lauricella functions.Some special cases and important applications are also discussed.展开更多
The object of this paper is to present a new generalization of the Hermite matrix polynomials by means of the hypergeometric matrix function. An integral representation, differential recurrence relation and some other...The object of this paper is to present a new generalization of the Hermite matrix polynomials by means of the hypergeometric matrix function. An integral representation, differential recurrence relation and some other properties of these generalized forms are established here. Moreover, some new properties of the Hermite and Chebyshev matrix polynomials are obtained. In particular, the two-variable and two-index Chebyshev matrix polynomials of two matrices are presented.展开更多
The aim of this paper deals with the study of the Horn matrix function of two complex variables. The convergent properties, an integral representation of H2(A,A′,B,B′;C;z,w) is obtained and recurrence matrix relatio...The aim of this paper deals with the study of the Horn matrix function of two complex variables. The convergent properties, an integral representation of H2(A,A′,B,B′;C;z,w) is obtained and recurrence matrix relations are given. Some result when operating on Horn matrix function with the differential operator D and a solution of certain partial differential equations are established. The Hadamard product of two Horn’s matrix functions is studied, certain results as, the domain of regularity, contiguous functional relations and operating with the differential operator D and D2 are established.展开更多
目的:了解天津市65岁及以上社区老年人痴呆患病率及其影响因素,评估痴呆患者的功能状况。方法:数据来自天津市精神卫生流行病学调查,该调查采用多阶段与规模成比例的概率抽样,先使用一般健康问卷扩展版进行筛查,再由精神科医师根据DSM-I...目的:了解天津市65岁及以上社区老年人痴呆患病率及其影响因素,评估痴呆患者的功能状况。方法:数据来自天津市精神卫生流行病学调查,该调查采用多阶段与规模成比例的概率抽样,先使用一般健康问卷扩展版进行筛查,再由精神科医师根据DSM-IV(the diagnostic and statistical manual of mental disorders, fourth edition)进行包括痴呆在内的精神障碍的诊断,收集社会人口学、躯体疾病史、家族史等相关因素,采用功能大体评估量表(global assessment of functioning,GAF)评估研究对象功能状况。描述天津市社区老年期痴呆的患病率,并采用基于复杂抽样的Logistic回归分析患病的相关影响因素,通过GAF得分描述患者功能状况。结果:有4438人完成诊断,其中65岁及以上老年人1023名,140人患有痴呆,加权患病率7.78%(95%CI:5.88%~10.23%)。与年龄在65~69岁者相比,年龄在75~79岁(OR=4.60,95%CI:1.57~13.52)和80岁及以上(OR=14.48,95%CI:4.46~47.04)是痴呆患病的危险因素,受教育年限不足1年(OR=2.30,95%CI:1.06~5.01)、存在2种及以上心理社会环境问题(OR=3.42,95%CI:1.65~7.08),脑血管疾病(OR=9.19,95%CI:4.62~18.30)也是痴呆的危险因素。痴呆患者近1个月加权GAF得分(54.2±16.5)分,加权致残率63.65%(95%CI:50.11%~75.33%)。结论:天津市社区老年期痴呆患病率略高于全国,年龄大、未接受过至少1年正规教育、存在较多心理社会环境问题、脑血管疾病为痴呆患病的危险因素,痴呆患者功能水平不佳。采取针对性措施降低痴呆患病率并为患者提供更好的治疗和康复服务至关重要。展开更多
In the present work, a unification of certain functions of mathematical physics is proposed and its properties are studied. The proposed function unifies Lommel function, Struve function, the Bessel-Maitland function ...In the present work, a unification of certain functions of mathematical physics is proposed and its properties are studied. The proposed function unifies Lommel function, Struve function, the Bessel-Maitland function and its generalization, Dotsenko function, generalized Mittag-Leffler function etc. The properties include absolute and uniform convergence, differential recurrence relation, integral representations in the form of Euler-Beta transform, Mellin-Barnes transform, Laplace transform and Whittaker transform. The special cases namely the generalized hypergeometric function, generalized Laguerre polynomial, Fox H-function etc. are also obtained.展开更多
文摘In this paper, the general calculation formulas of radial matrix elements for relativistic n-dimensional hydrogen atom of spin S=0 are obtained, and the recurrence relation of different power order radial matrix elements are also derived.
文摘In this paper explicit expressions and some recurrence relations are derived for marginal and joint moment generating functions of generalized order statistics from Erlang-truncated exponential distribution. The results for k-th record values and order statistics are deduced from the relations derived. Further, a characterizing result of this distribution on using the conditional expectation of function of generalized order statistics is discussed.
文摘In this paper,we obtain some new results on bilateral generating functions of the modified Laguerre polynomials.We also get generating function relations between the modified Laguerre polynomials and the generalized Lauricella functions.Some special cases and important applications are also discussed.
文摘The object of this paper is to present a new generalization of the Hermite matrix polynomials by means of the hypergeometric matrix function. An integral representation, differential recurrence relation and some other properties of these generalized forms are established here. Moreover, some new properties of the Hermite and Chebyshev matrix polynomials are obtained. In particular, the two-variable and two-index Chebyshev matrix polynomials of two matrices are presented.
文摘The aim of this paper deals with the study of the Horn matrix function of two complex variables. The convergent properties, an integral representation of H2(A,A′,B,B′;C;z,w) is obtained and recurrence matrix relations are given. Some result when operating on Horn matrix function with the differential operator D and a solution of certain partial differential equations are established. The Hadamard product of two Horn’s matrix functions is studied, certain results as, the domain of regularity, contiguous functional relations and operating with the differential operator D and D2 are established.
文摘目的:了解天津市65岁及以上社区老年人痴呆患病率及其影响因素,评估痴呆患者的功能状况。方法:数据来自天津市精神卫生流行病学调查,该调查采用多阶段与规模成比例的概率抽样,先使用一般健康问卷扩展版进行筛查,再由精神科医师根据DSM-IV(the diagnostic and statistical manual of mental disorders, fourth edition)进行包括痴呆在内的精神障碍的诊断,收集社会人口学、躯体疾病史、家族史等相关因素,采用功能大体评估量表(global assessment of functioning,GAF)评估研究对象功能状况。描述天津市社区老年期痴呆的患病率,并采用基于复杂抽样的Logistic回归分析患病的相关影响因素,通过GAF得分描述患者功能状况。结果:有4438人完成诊断,其中65岁及以上老年人1023名,140人患有痴呆,加权患病率7.78%(95%CI:5.88%~10.23%)。与年龄在65~69岁者相比,年龄在75~79岁(OR=4.60,95%CI:1.57~13.52)和80岁及以上(OR=14.48,95%CI:4.46~47.04)是痴呆患病的危险因素,受教育年限不足1年(OR=2.30,95%CI:1.06~5.01)、存在2种及以上心理社会环境问题(OR=3.42,95%CI:1.65~7.08),脑血管疾病(OR=9.19,95%CI:4.62~18.30)也是痴呆的危险因素。痴呆患者近1个月加权GAF得分(54.2±16.5)分,加权致残率63.65%(95%CI:50.11%~75.33%)。结论:天津市社区老年期痴呆患病率略高于全国,年龄大、未接受过至少1年正规教育、存在较多心理社会环境问题、脑血管疾病为痴呆患病的危险因素,痴呆患者功能水平不佳。采取针对性措施降低痴呆患病率并为患者提供更好的治疗和康复服务至关重要。
文摘In the present work, a unification of certain functions of mathematical physics is proposed and its properties are studied. The proposed function unifies Lommel function, Struve function, the Bessel-Maitland function and its generalization, Dotsenko function, generalized Mittag-Leffler function etc. The properties include absolute and uniform convergence, differential recurrence relation, integral representations in the form of Euler-Beta transform, Mellin-Barnes transform, Laplace transform and Whittaker transform. The special cases namely the generalized hypergeometric function, generalized Laguerre polynomial, Fox H-function etc. are also obtained.
