Abstract
The aim of this paper is to establish a general form of Kummer's second-type summation theory. By defining a new form for the divided of the Pochhammer symbol d+in/dn, we can develop a general form of Kummer's second-type summation theorem as e-x/2F22a,i+d; xb+l,d; in the form of a sum of e-x/2F11a; xb+i; for i,l=0,1,2,., Then, some properties of the generalized Kummer's second-type summation theorem can yield a number of known and novel results.
| Original language | English |
|---|---|
| Article number | 5531388 |
| Journal | Mathematical Problems in Engineering |
| Volume | 2021 |
| DOIs | |
| State | Published - 2021 |
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