On Certain Relations between Hypergeometric Series of Higher Orders

On Certain Relations between Hypergeometric Series of Higher Orders
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论高阶超几何级数之间的某些关系

DOI:
10.1112/plms/s2-34.1.323
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发表时间:
1932
影响因子:
1.8
通讯作者:
H. C. R. Darling
H. C. R. Darling
中科院分区:
数学1区
文献类型:
--
作者:
H. C. R. Darling

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假设变量z的模数总是小于1;但是,通过使z->1,我们通常能够推导出用单位代替z的公式。在本文的后半部分,考虑了一类超几何级数所满足的差分方程组。方程^-aft/y=O,(1)或为简洁起见,(其中,1)满足*。
The modulus of the variable z is assumed to be always less than unity; but, by making z-> 1, we are able, in general, to deduce formulae in which z is replaced by unity. In the latter part of the paper the difference equations satisfied by certain hypergeometric series are considered. The differential equation^-aft/y= O,(1) or, for brevity,(where\z\< 1) is satisfied by*