On the p,q-Humbert Functions from the View Point of the Generating Function Method
The main object of the present paper is to construct new p,q-analogy definitions of various families of p,q-Humbert functions using the generating function method as a starting point. This study shows a class of several results of p,q-Humbert functions with the help of the generating functions such...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/4794571 |
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doaj-3cdb3ac80bd946aaa7fd598af09f24252020-11-25T03:36:33ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/47945714794571On the p,q-Humbert Functions from the View Point of the Generating Function MethodAyman Shehata0Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, EgyptThe main object of the present paper is to construct new p,q-analogy definitions of various families of p,q-Humbert functions using the generating function method as a starting point. This study shows a class of several results of p,q-Humbert functions with the help of the generating functions such as explicit representations and recurrence relations, especially differential recurrence relations, and prove some of their significant properties of these functions.http://dx.doi.org/10.1155/2020/4794571 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ayman Shehata |
| spellingShingle |
Ayman Shehata On the p,q-Humbert Functions from the View Point of the Generating Function Method Journal of Function Spaces |
| author_facet |
Ayman Shehata |
| author_sort |
Ayman Shehata |
| title |
On the p,q-Humbert Functions from the View Point of the Generating Function Method |
| title_short |
On the p,q-Humbert Functions from the View Point of the Generating Function Method |
| title_full |
On the p,q-Humbert Functions from the View Point of the Generating Function Method |
| title_fullStr |
On the p,q-Humbert Functions from the View Point of the Generating Function Method |
| title_full_unstemmed |
On the p,q-Humbert Functions from the View Point of the Generating Function Method |
| title_sort |
on the p,q-humbert functions from the view point of the generating function method |
| publisher |
Hindawi Limited |
| series |
Journal of Function Spaces |
| issn |
2314-8896 2314-8888 |
| publishDate |
2020-01-01 |
| description |
The main object of the present paper is to construct new p,q-analogy definitions of various families of p,q-Humbert functions using the generating function method as a starting point. This study shows a class of several results of p,q-Humbert functions with the help of the generating functions such as explicit representations and recurrence relations, especially differential recurrence relations, and prove some of their significant properties of these functions. |
| url |
http://dx.doi.org/10.1155/2020/4794571 |
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AT aymanshehata onthepqhumbertfunctionsfromtheviewpointofthegeneratingfunctionmethod |
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