Zobrazeno 1 - 10
of 25
pro vyhledávání: '"B. R. Srivatsa Kumar"'
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 42 (2024)
The main objective of this note is to provide eight closed-form evaluations for the generalized hypergeometric function with argument $1$ and this is achieved by means of separating a generalized hypergeometric function into even and odd components t
Externí odkaz:
https://doaj.org/article/98cdb3fc484c4382806711e6fb0cd9df
Autor:
D. Anu Radha, B. R. Srivatsa Kumar
Publikováno v:
AIMS Mathematics, Vol 8, Iss 3, Pp 6167-6175 (2023)
S. Ramanujan documented several modular equations of degrees in his notebooks. These identities are used to evaluate Weber's class in variants, continued fractions and many more. In the present work, we establish modular equations of composite degree
Externí odkaz:
https://doaj.org/article/410cd0dd5ef64c3d9305947e1c8c1a13
Publikováno v:
Journal of Function Spaces, Vol 2022 (2022)
The main objective of this paper is to establish several new closed-form evaluations of the generalized hypergeometric function Fq+1qz for q=2,3,4,5. This is achieved by means of separating the generalized hypergeometric function Fq+1qz (q=2,3,4,5) i
Externí odkaz:
https://doaj.org/article/17c4be932a7f45469ae1a3e604aafe52
Publikováno v:
Journal of Applied Mathematics, Vol 2021 (2021)
Two-dimensional theta functions were found by the Borwein brothers to work on Gauss and Legendre’s arithmetic-geometric mean iteration. In this paper, some new Eisenstein series identities are obtained by using (p, k)-parametrization in terms of Bo
Externí odkaz:
https://doaj.org/article/5264888846034ac3bf7ce56a48323ad9
Publikováno v:
Soft Computing.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2ad134563bd8c3ee9fea85ab64fcda87
https://doi.org/10.1007/s00500-023-08411-6
https://doi.org/10.1007/s00500-023-08411-6
Publikováno v:
Soft Computing.
In 2009, M. S. M. Naika et al. obtained Schl$$\ddot{a}$$ a ¨ fli type modular equations of degree 4. Motivated by their work, in the present work, we prove a class of modular equations in Ramanujan’s alternative theory of elliptic functions using
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::60567a3258fb45a445a8c5c05c7e27c1
https://doi.org/10.1007/s00500-023-08036-9
https://doi.org/10.1007/s00500-023-08036-9
Autor:
D. Anu Radha, B. R. Srivatsa Kumar
Publikováno v:
AIMS Mathematics. 8:6167-6175
S. Ramanujan documented several modular equations of degrees in his notebooks. These identities are used to evaluate Weber's class in variants, continued fractions and many more. In the present work, we establish modular equations of composite degree
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::29ee7a6e30ef747e9aafbc71965c3e4f
https://doi.org/10.3934/math.2023311
https://doi.org/10.3934/math.2023311
Autor:
null Shruthi, B. R. Srivatsa Kumar
Publikováno v:
São Paulo Journal of Mathematical Sciences.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bf676e0b8aef10ebaa05861fe9b26e60
https://doi.org/10.1007/s40863-022-00282-3
https://doi.org/10.1007/s40863-022-00282-3
Autor:
B. R. Srivatsa Kumar, Shruthi
Publikováno v:
Soft Computing. 25:9055-9060
Michael Somos used PARI/GP script to generate several Dedekind eta-function identities by using computer. In the present work, we prove two new Dedekind eta-function identities of level 10 discovered by Somos in two different methods. Also during thi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cc39ef1bd7eda1969f3ddfa578323b3e
https://doi.org/10.1007/s00500-021-05846-7
https://doi.org/10.1007/s00500-021-05846-7
Publikováno v:
Proyecciones (Antofagasta). 40:187-198
In the present work, we prove few new Dedekind eta-function identities of level 6 discovered by Somos in two different methods. Also during this process, we give an alternate method to Somos’s Dedekind eta-function identities of level 6 proved by B
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::43297247e1829fd2a357e46d025b409d
https://doi.org/10.22199/issn.0717-6279-2021-01-0012
https://doi.org/10.22199/issn.0717-6279-2021-01-0012