On a Generalization of Kummer’s Second-Type F11 and F22

On a Generalization of Kummer’s Second-Type F11 and F22

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/2F1...

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Main Author: Mohamed M. Awad
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2021/5531388
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spelling doaj-452ee9bb440d40978d9988c1637c42062021-06-21T02:24:23ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/5531388On a Generalization of Kummer’s Second-Type F11 and F22Mohamed M. Awad0Mathematics DepartmentThe 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.http://dx.doi.org/10.1155/2021/5531388
collection DOAJ
language English
format Article
sources DOAJ
author Mohamed M. Awad
spellingShingle Mohamed M. Awad
On a Generalization of Kummer’s Second-Type F11 and F22
Mathematical Problems in Engineering
author_facet Mohamed M. Awad
author_sort Mohamed M. Awad
title On a Generalization of Kummer’s Second-Type F11 and F22
title_short On a Generalization of Kummer’s Second-Type F11 and F22
title_full On a Generalization of Kummer’s Second-Type F11 and F22
title_fullStr On a Generalization of Kummer’s Second-Type F11 and F22
title_full_unstemmed On a Generalization of Kummer’s Second-Type F11 and F22
title_sort on a generalization of kummer’s second-type f11 and f22
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1563-5147
publishDate 2021-01-01
description 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.
url http://dx.doi.org/10.1155/2021/5531388
work_keys_str_mv AT mohamedmawad onageneralizationofkummerssecondtypef11andf22
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