Results 131 to 140 of about 549,355 (294)
Darboux evaluations of algebraic Gauss hypergeometric functions [PDF]
arXiv, 2005 This paper presents explicit expressions for algebraic Gauss hypergeometric functions. We consider solutions of hypergeometric equations with the tetrahedral, octahedral and icosahedral monodromy groups. Conceptually, we pull-back such a hypergeometric equation onto its Darboux curve so that the pull-backed equation has a cyclic monodromy group ...
arxiv
Rarefied elliptic hypergeometric functions [PDF]
Advances in Mathematics, 2018 Two exact evaluation formulae for multiple rarefied elliptic beta integrals related to the simplest lens space are proved. They generalize evaluations of the type I and II elliptic beta integrals attached to the root system $C_n$. In a special $n=1$ case, the simplest $p\to 0$ limit is shown to lead to a new class of $q$-hypergeometric identities ...
openaire +4 more sources
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
Fields of definition of finite hypergeometric functions [PDF]
arXiv, 2018 Finite hypergeometric functions are functions of a finite field ${\bf F}_q$ to ${\bf C}$. They arise as Fourier expansions of certain twisted exponential sums and were introduced independently by John Greene and Nick Katz in the 1980's. They have many properties in common with their analytic counterparts, the hypergeometric functions.
arxiv
Asymptotic Representations of Confluent Hypergeometric Functions [PDF]
, 1935 E. Fisher
openalex +1 more source
Molecular Nutrition &Food Research, EarlyView.Over half of patients with colorectal cancer experience severe chemotherapy‐induced side effects. The B‐vitamin folate may play a role in these side effects, potentially by altering DNA methylation, a mechanism of gene regulation. Our comprehensive literature search identified studies investigating DNA methylation associated with folate status/intake ...
Nienke R. K. Zwart +3 more
wiley +1 more source
XIII. An asymptotic formula for the hypergeometric function 0Δ4(z) [PDF]
, 1921 Dorothy Wrinch
openalex +1 more source
Magnetic Resonance in Medicine, EarlyView.Abstract Purpose Ultra‐high‐field (UHF) R2* relaxometry is often used for in vivo analysis of biological tissue microstructure without accounting for vascular contributions to R2* signal, that is, the BOLD signal component, and magnetic field inhomogeneities.
Joanna Im +7 more
wiley +1 more source
Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions. [PDF]
Rev R Acad Cienc Exactas Fis Nat A Mat, 2020 Qi F, Huang CJ.
europepmc +1 more source