Results 51 to 60 of about 38,229 (306)
A generalization of Clausen's identity
, 2009 The paper aims to generalize Clausen's identity to the square of any Gauss hypergeometric function. Accordingly, solutions of the related 3rd order linear differential equation are found in terms of certain bivariate series that can reduce to 3F2 series ...
G.E. Andrews +6 more
core +2 more sources
Multiplicate inverse forms of terminating hypergeometric series [PDF]
, 2013 The multiplicate form of Gould--Hsu's inverse series relations enables to investigate the dual relations of the Chu-Vandermonde-Gau{\ss}'s, the Pfaff-Saalsch\"utz's summation theorems and the binomial convolution formula due to Hagen and Rothe.
Lavault, Christian
core +4 more sources
Composite fields, generalized hypergeometric functions and the $U(1)_Y$ symmetry in the AdS/CFT correspondence [PDF]
, 2001 We discuss the concept of composite fields in flat CFT as well as in the context of AdS/CFT. Furthermore we show how to represent Green functions using generalized hypergeometric functions and apply these techniques to four-point functions.
Hoffmann, L. +3 more
core +2 more sources
Jacobian elliptic Kummer surfaces and special function identities
, 2016 We derive formulas for the construction of all inequivalent Jacobian elliptic fibrations on the Kummer surface of two non-isogeneous elliptic curves from extremal rational elliptic surfaces by rational base transformations and quadratic twists.
Griffin, Elise, Malmendier, Andreas
core +1 more source
A new four parameter q-series identity and its partition implications [PDF]
, 2002 We prove a new four parameter q-hypergeometric series identity from which the three parameter key identity for the Goellnitz theorem due to Alladi, Andrews, and Gordon, follows as a special case by setting one of the parameters equal to 0.
Alladi, Krishnaswami +2 more
core +3 more sources
Operators of Laplace transform type and a new class of hypergeometric coefficients [PDF]
, 2019 A differential identity on the hypergeometric function ${}_2F_1(a,b;c;z)$ unifying and extending certain spectral results on the scale of Gegenbauer and Jacobi polynomials and leading to a new class of hypergeometric related scalars $\mathsf{c}_j^m(a,b,c)
Bond, Stuart, Taheri, Ali
core +1 more source
Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We give a new theta-function identity, a special case of which is utilised to prove Kawanaka's Macdonald polynomial conjecture. The theta-function identity further yields a transformation formula for multivariable elliptic hypergeometric series which ...
Robin Langer +2 more
doaj +1 more source
The Stokes Phenomenon and Some Applications [PDF]
, 2015 Multisummation provides a transparent description of Stokes matrices which is reviewed here together with some applications. Examples of moduli spaces for Stokes matrices are computed and discussed.
van der Put, Marius
core +3 more sources
Molecular Oncology, EarlyView.Breast cancer metastasis is associated with myeloid cell dysregulation and the lung‐specific accumulation of tumor‐supportive Gr1+ cells. Gr1+ cells support metastasis, in part, through a CHI3L1‐mediated mechanism, which can be targeted and inhibited with cargo‐free, polymeric nanoparticles.
Jeffrey A. Ma +9 more
wiley +1 more source
Mirror Maps, Modular Relations and Hypergeometric Series I [PDF]
, 1995 Motivated by the recent work of Kachru-Vafa in string theory, we study in Part A of this paper, certain identities involving modular forms, hypergeometric series, and more generally series solutions to Fuchsian equations.
Bong H. Lian +11 more
core +3 more sources