查询词典 contiguous hypergeometric function

With the help of a transformation formula of basic hypergeometric functions, known identities, and Jacobi triple, we have established some new Rogers-Ramanujan type identities.

2我们对Agarwal与Singh（见文献[1]）推导出的一个新的Rogers--Ramanujan型恒等式〓给出了一个新的、更为简单的证法，并得出一系列新的Rogers-Ramanujan型恒等式。

While, Zeilberger and Wilf [39] showed that proper hypergeometric terms are holonomic and conjectured that the inverse assertion also holds.

所幸的是Zeilberger和Wilf在中证明了正则的超几何项是完整的并猜想其逆命题也成立。

Peoplr usually think that for hypergeometric experiment, the traials are dependent and the probability of success therefore is not constant.

超几何实验中，每次试行间并不是互相独立，因此有些人以为成功的机率并不像二项实验般是固定不变的。

From this theorem, we prove the existence of the recurrence for the admissible q-proper hypergeometric sums, and obtain an estimate of the order J of the recurrence.

在此基础上证明admissible q-proper超几何和的迭代关系的存在性，并且得到迭代关系阶数J的一个估计。

Based on the Collins integral formula, the propagation of generalized hypergeometric beams in paraxial ABCD optical systems is studied and the analytical expressions for complex amplitude at output plane are obtained.

利用柯林积分公式研究了广义超几何光束在ABCD近轴光学系统中的传播行为，得到了光束在输出平面复振幅的解析表达式。

When Zeilberger studied Sister Celine's Method in the late 1970s, he realized that one can prove a hypergeometric identity by checking a finite number of special cases. In the book "A=B" [37, p. 70], it is pointed that it is an interesting research question to ask how small we can make this a priori estimate of the number.

当Zeilberger在70年代后期研究Sister Celine方法的时候，他意识到一个超几何恒等式可以通过验证有限项来证明，在书《A=B》中进一步指出，研究这个项数的先验估计到底能达到多么小是一个有趣的问题。

When Zeilberger studied Sister Celine\'s Method in the late 1970s, he realized that one can prove a hypergeometric identity by checking a finite number of special cases. In the book "A=B" 37, p.

当Zeilberger在70年代后期研究Sister Celine方法的时候，他意识到一个超几何恒等式可以通过验证有限项来证明，在书《A=B》中进一步指出，研究这个项数的先验估计到底能达到多么小是一个有趣的问题。

Stack is a contiguous area of memory which is used for storing local objects of a function.

堆栈是一个连续的内存区域是用于存储一个函数的局部对象使用。

Its five visceras and six mansions is the entity"equipments" that carries on bio-chemical reaction continuously, but skeleton,muscle,skin etc. the organization then props up,protect these entity of equipments , and with the external world contiguous necessary outer circle hardware;The meridian is the living creature information system that colludes with to live the quick and the external world contact and combines to adjust bio-chemical reaction of oneself continuously;The acupoint then the information commutation crunode of the spirit lifeblood, the spirit blood this physiology media wears through the acupoint movement deeply to make in the viscera in the veins and arteries,function they adjust the speed,for enzyme that the bio-chemical responds process to provide continuously etc., live the human body normal physiology metabolism by assurance, maintain life to continue, evolution with multiply greatly.

其五脏六腑是不断进行生化反应的实体"设备"，而骨骼、肌肉、皮肤等组织则是支撑、保护这些实体设备，并与外界接触的必要外围硬件；经络是勾通活人体与外界联系、并不断调整自身生化反应的生物信息系统；腧穴则是经络的信息交换结点，气血这个生理传媒通过腧穴运行穿透于经络、作用于五脏六腑使它们不断调整生化反应过程的速度、酶供等，以保证活人体正常生理代谢，维持生命延续，进化和繁衍。

The resort's main claim to fame is that it is the largest contiguous ski area in Austria. Everything that is not forest or rock belongs to the ski pistes, so the resort's numerous sign posts have an important function to play.

皇帝山作为邻近奥地利的最大的滑雪场而声名鹊起，它的滑雪道上即没有木头也没有乱石，无数的路标在指引方向上起到了重要作用。

Fostering the concept of multi-culture firmly and mastering the development of advanced culture correctly are conductive to resisting terrorism, separatism of nationalities and ultraism of religion, which is of great academic theoretical, immediate and profound historical si...

牢固树立多元文化的理念和正确把握先进文化的发展方向，有助于在世界范围内自觉地抵制恐怖主义，民族分裂主义和宗教极端主义。不仅具有重大的学术理论意义，而且也具有重大的现实意义和深远的历史意义。

But if anyone walks in the night, he stumbles, because the light is not in him.

11：10 若在黑夜行走，就必碰跌，因为那光不在他里面。