Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Bring radical"'
Autor:
S. Ole Warnaar, Hjalmar Rosengren
We give a survey of elliptic hypergeometric functions associated with root systems, comprised of three main parts. The first two form in essence an annotated table of the main evaluation and transformation formulas for elliptic hypergeometric integer
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e8aec71c8e59bc2cf2be8666553ad105
https://doi.org/10.1017/9780511777165.007
https://doi.org/10.1017/9780511777165.007
Autor:
Raghavendra G. Kulkarni
Publikováno v:
The Mathematical Gazette. 105:120-121
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a02b033f409f70c2842c7e02726ee59
https://doi.org/10.1017/mag.2021.18
https://doi.org/10.1017/mag.2021.18
Autor:
Daniel Schultz
Publikováno v:
Advances in Mathematics. 290:329-363
By adding certain equianharmonic elliptic sigma functions to the coefficients of the Borwein cubic theta functions, an interesting set of six two-variable theta functions may be derived. These theta functions invert the F 1 ( 1 3 ; 1 3 ; 1 3 ; 1 | x
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cbc0f977c39416e78e3932ba115892c8
https://doi.org/10.1016/j.aim.2015.09.039
https://doi.org/10.1016/j.aim.2015.09.039
Autor:
Meesue Yoo, Michael J. Schlosser
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications.
We use elliptic Taylor series expansions and interpolation to deduce a number of summations for elliptic hypergeometric series. We extend to the well-poised elliptic case results that in the $q$-case have previously been obtained by Cooper and by Ism
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::091836970ea9d3ff1dd016663557796e
https://doi.org/10.3842/sigma.2016.039
https://doi.org/10.3842/sigma.2016.039
Autor:
Edward Neuman, József Sándor
Publikováno v:
Integral Transforms and Special Functions. 23:719-722
Inequalities connecting Jacobian elliptic functions sn and sc with their inverses are established. Applications to circular and hyperbolic functions are included.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9360739e4281ff9d03fa1e366dbb3c51
https://doi.org/10.1080/10652469.2011.627561
https://doi.org/10.1080/10652469.2011.627561
Autor:
Edward Neuman
Publikováno v:
Integral Transforms and Special Functions. 21:399-407
Bounds and inequalities involving Jacobian elliptic functions are obtained. The main results are established with the aid of new bounds for the incomplete elliptic integral R F . It is also shown that some known inequalities for the trigonometric and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::db29ce43e83e32d84f1577d1b7aab2e0
https://doi.org/10.1080/10652460903345961
https://doi.org/10.1080/10652460903345961
Autor:
Barry J. Gardner
Publikováno v:
Acta Mathematica Hungarica. 124:371-383
We consider the determination of ring radicals by classes of modules as first discussed by Andrunakievich and Ryabukhin, but in cases where the modules concerned are defined by additive properties. Such a radical is the upper radical defined by the c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::909ab93e6fa617b94619e37dc814e99f
https://doi.org/10.1007/s10474-009-8210-2
https://doi.org/10.1007/s10474-009-8210-2
Autor:
Jeremy Gray
Publikováno v:
Springer Undergraduate Mathematics Series ISBN: 9783319237145
This chapter considers how elliptic functions and complex functions were first brought together. This was an important step for both subjects, which, as Jacobi noted in his lectures, seemed to be kept apart by the complications resulting from the two
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7d0a1b023f88519b50f6e57ffda06dee
https://doi.org/10.1007/978-3-319-23715-2_11
https://doi.org/10.1007/978-3-319-23715-2_11
Autor:
Oleg Finko
Publikováno v:
Automation and Remote Control. 66:1081-1100
Methods of realization of the k-valued functions of the algebra of logic by the modular forms of arithmetic polynomials based on “weighing” by the numbers k i (i = 0, 1, 2, ...) were considered. The modular polynomial and matrix (number-theoretic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cf7616e1d653463ec13d6f4c702d48f3
https://doi.org/10.1007/s10513-005-0150-x
https://doi.org/10.1007/s10513-005-0150-x
Autor:
Victor Adamchik, David J. Jeffrey
Publikováno v:
ACM SIGSAM Bulletin. 37:90-94
Tschirnhaus gave transformations for the elimination of some of the intermediate terms in a polynomial. His transformations were developed further by Bring and Jerrard, and here we describe all these transformations in modern notation. We also discus
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cf89db9f3afb4affe70fcda26538cd58
https://doi.org/10.1145/1093528.1093530
https://doi.org/10.1145/1093528.1093530