TY - JOUR
T1 - On a Generalization of Kummer's Second-Type F11 and F22
AU - Awad, Mohamed M.
N1 - Publisher Copyright:
© 2021 Mohamed M. Awad.
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85108412648&partnerID=8YFLogxK
U2 - 10.1155/2021/5531388
DO - 10.1155/2021/5531388
M3 - Article
AN - SCOPUS:85108412648
SN - 1024-123X
VL - 2021
JO - Mathematical Problems in Engineering
JF - Mathematical Problems in Engineering
M1 - 5531388
ER -