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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| Published in: | Advances in difference equations Vol. 2020; no. 1 |
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| Format: | Journal Article |
| Language: | English |
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Springer International Publishing
01.12.2020
Springer Nature B.V |
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| ISSN: | 1687-1839, 1687-1847 |
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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 H3 and H4. 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 H 3 and H 4 . 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 |
| ContentType | Journal Article |
| Copyright | The Author(s) 2020 The Author(s) 2020. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
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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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