Results 41 to 50 of about 38,611 (276)
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
Identities between q-hypergeometric and hypergeometric integrals of different dimensions
Advances in Mathematics, 2005 Preprint (2003), 14 pages, AmsLaTeX, references ...
Tarasov, V., Varchenko, A.
openaire +3 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
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Feynman integrals with tensorial structure in the negative dimensional integration scheme [PDF]
, 1999 Negative dimensional integration method (NDIM) is revealing itself as a very useful technique for computing Feynman integrals, massless and/or massive, covariant and non-covariant alike.
Schmidt, A. G. M., Suzuki, A. T.
core +2 more sources
Elliott's identity and hypergeometric functions
Journal of Mathematical Analysis and Applications, 2002 Elliot's identity involving the Gaussian hypergeometric series contains, as a special case, the classical Legendre identity for the complete elliptic integrals. The aim of this paper is to derive a differentiation formula for an expression involving the Gaussian hypergeometric series, which, for appropriate values of the parameters, implies Elliot's ...
Balasubramanian, R. +3 more
openaire +2 more sources
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
Integral pentagon relations for 3d superconformal indices
, 2016 The superconformal index of a three-dimensional supersymmetric field theory can be expressed in terms of basic hypergeometric integrals. By comparing the indices of dual theories, one can find new integral identities for basic hypergeometric integrals ...
Gahramanov, Ilmar, Rosengren, Hjalmar
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Molecular Oncology, EarlyView.Generation of two normal and tumour (cancerous) paired human cell lines using an established tissue culture technique and their characterisation is described. Cell lines were characterised at cellular, protein, chromosome and gene expression levels and for HPV status.
Simon Broad +12 more
wiley +1 more source
Developmental, Neuroanatomical and Cellular Expression of Genes Causing Dystonia
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Dystonia is one of the most common movement disorders, with variants in multiple genes identified as causative. However, an understanding of which developmental stages, brain regions, and cell types are most relevant is crucial for developing relevant disease models and therapeutics.
Darren Cameron +5 more
wiley +1 more source
On computing some special values of hypergeometric functions
, 2014 The theoretical computing of special values assumed by the hypergeometric functions has a high interest not only on its own, but also in sight of the remarkable implications to both pure Mathematics and Mathematical Physics.
Ritelli, Daniele +1 more
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