Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Vivek Sahai"'
Autor:
Ayushi Kapoor, Vivek Sahai
Publikováno v:
Miskolc Mathematical Notes, Vol 25, Iss 1, p 301 (2024)
We construct new (n+1)K5nK5
Externí odkaz:
https://doaj.org/article/193af7b7e5ad4e049d65b4bb12569642
Autor:
Ravi Dwivedi, Vivek Sahai
Publikováno v:
Asian-European Journal of Mathematics. 16
In this paper, we introduce certain Kampé de Fériet-like matrix functions and investigate their regions of convergence and recurrence relations satisfied by them. The importance of studying these matrix functions stems from the fact that the deriva
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::815c96b687b066ac3a4a013a75fd6884
https://doi.org/10.1142/s1793557123500808
https://doi.org/10.1142/s1793557123500808
Autor:
Ravi Dwivedi, Vivek Sahai
Publikováno v:
Reports on Mathematical Physics. 85:253-265
We discuss a few models of quantum universal enveloping algebra U q ( s l ( 2 ) ) from the q-special matrix functions point of view. These models are in terms of q-dilation operators and matrix q-difference-dilation operators and are connected throug
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3085631503294262d2fa3d56073391fd
https://doi.org/10.1016/s0034-4877(20)30028-8
https://doi.org/10.1016/s0034-4877(20)30028-8
Publikováno v:
Bulletin of the Brazilian Mathematical Society, New Series. 52:213-239
The main objective of this work is to present some important results and formulas in the theory of Humbert matrix functions by using the concepts of matrix functional calculus. We define Humbert matrix functions assuming that not all the matrices inv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ee382336bf3303e5c5306674db23aaa
https://doi.org/10.1007/s00574-020-00198-6
https://doi.org/10.1007/s00574-020-00198-6
Autor:
Vivek Sahai, Ashish Verma
Publikováno v:
Afrika Matematika. 31:643-686
We obtain certain recursion formulas for fourteen three variable q-Lauricella series. It is derived that these recursion relations can be expressed in terms of q-derivatives of the respective q-Lauricella series.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::efbdc27b1461cde6f70a4fccd3278760
https://doi.org/10.1007/s13370-019-00751-7
https://doi.org/10.1007/s13370-019-00751-7
Autor:
Ravi Dwivedi, Vivek Sahai
Publikováno v:
Journal of Difference Equations and Applications. 25:1531-1548
We introduce q-Lauricella matrix functions of three and n-variables. The convergence of these matrix functions is examined for both |q| 1 cases. The systems of matrix q-difference equatio...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1750ff3c14a145960b8b0b6bbcd8d06f
https://doi.org/10.1080/10236198.2019.1668930
https://doi.org/10.1080/10236198.2019.1668930
Autor:
Vivek Sahai, Ravi Dwivedi
Publikováno v:
Journal of Mathematical Analysis and Applications. 473:786-802
In this paper, we present four models of irreducible representations of special complex Lie algebra s l ( 2 , C ) from the special matrix functions point of view. These models, which involve differential operators, are transformed into matrix differe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6cdbd1b3a69ac933f2f2acca412f4927
https://doi.org/10.1016/j.jmaa.2018.12.070
https://doi.org/10.1016/j.jmaa.2018.12.070
Autor:
Ravi Dwivedi, Vivek Sahai
Publikováno v:
Quaestiones Mathematicae. 43:321-334
Appell matrix functions were studied in [4], assuming the commutativity of the considered matrices. In this paper, we extend this work to Appell matrix functions where not all the matrices involved are commuting matrices. We also revisit the matrix v
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::823d6fe073ea64708ef9b4c98a35e20b
https://doi.org/10.2989/16073606.2019.1577309
https://doi.org/10.2989/16073606.2019.1577309
Autor:
Ravi Dwivedi, Vivek Sahai
Publikováno v:
Quaestiones Mathematicae; Vol 43, No 1 (2020); 97-105
We introduce the generalized zeta matrix function, digamma matrix function and polygamma matrix function. We obtain the regions of convergence of these matrix functions, some recurrence relations and their integral representations. An identity involv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49cd9471979126e23c5d72a1094aff86
https://www.ajol.info/index.php/qm/article/view/193416
https://www.ajol.info/index.php/qm/article/view/193416
Autor:
Ravi Dwivedi, Vivek Sahai
Publikováno v:
Linear and Multilinear Algebra. 67:1-19
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fa362af2e46ace4c196b4342feeeab8e
https://doi.org/10.1080/03081087.2017.1406893
https://doi.org/10.1080/03081087.2017.1406893