On basic Horn hypergeometric functions H3 and H4
The purpose of this work is to demonstrate several interesting contiguous function relations and q -differential formulas for basic Horn hypergeometric functions H 3 and H 4 . Some properties of our main results are also constructed.
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| Veröffentlicht in: | Advances in difference equations Jg. 2020; H. 1 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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Springer International Publishing
01.12.2020
Springer Nature B.V |
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| Abstract | The purpose of this work is to demonstrate several interesting contiguous function relations and
q
-differential formulas for basic Horn hypergeometric functions
H
3
and
H
4
. Some properties of our main results are also constructed. |
|---|---|
| AbstractList | The purpose of this work is to demonstrate several interesting contiguous function relations and
q
-differential formulas for basic Horn hypergeometric functions
H
3
and
H
4
. Some properties of our main results are also constructed. The purpose of this work is to demonstrate several interesting contiguous function relations and q-differential formulas for basic Horn hypergeometric functions H3 and H4. Some properties of our main results are also constructed. |
| Author | Shehata, Ayman |
| Author_xml | – sequence: 1 givenname: Ayman orcidid: 0000-0001-9041-6752 surname: Shehata fullname: Shehata, Ayman email: drshehata2006@yahoo.com, aymanshehata@science.aun.edu.eg, A.Ahmed@qu.edu.sa organization: Department of Mathematics, College of Science and Arts, Qassim University, Department of Mathematics, Faculty of Science, Assiut University |
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| Cites_doi | 10.1016/0377-0427(95)00264-2 10.22436/jnsa.009.05.66 10.1007/BF02849368 10.1112/jlms/s1-24.3.233 10.1007/s40819-019-0718-8 10.1002/mma.6299 10.1090/S0002-9939-1980-0553380-8 10.1142/S1793557114500193 10.3934/math.2020085 10.1016/0022-247X(90)90292-N 10.12691/tjant-3-3-5 10.1016/0022-247X(80)90076-1 10.1137/0512081 10.1017/CBO9780511526251 10.5666/KMJ.2016.56.3.911 10.4153/CJM-1986-010-3 10.1016/0022-247X(89)90182-0 10.12691/tjant-3-5-4 10.1093/qmath/19.1.433 10.1093/qmath/os-13.1.69 |
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| Keywords | derivatives 05A30 11B83 33A10 basic Horn hypergeometric functions 33D70 Quantum calculus Contiguous relations 11B68 33D15 |
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q
-differential formulas for basic Horn hypergeometric... The purpose of this work is to demonstrate several interesting contiguous function relations and q-differential formulas for basic Horn hypergeometric... |
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| SubjectTerms | Analysis Applications Difference and Functional Equations Functional Analysis Hypergeometric functions Mathematics Mathematics and Statistics Methods Ordinary Differential Equations Partial Differential Equations Topics in Special Functions and q-Special Functions: Theory |
| Title | On basic Horn hypergeometric functions H3 and H4 |
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