Results 181 to 190 of about 6,079,712 (233)

High-resolution promoter interaction analysis implicates genes involved in activation of type 3 innate lymphoid cells in immune disease risk. [PDF]

open access: yesNat Genet
Malysheva V   +34 more
europepmc   +1 more source

Developmentally dynamic, non-convergent transcriptomic profiles in CNV models for schizophrenia risk. [PDF]

open access: yesMol Psychiatry
French H   +8 more
europepmc   +1 more source

Generating functions for the generalized Gauss hypergeometric functions

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Praveen Agarwal   +2 more
exaly   +3 more sources

GG Functions and their Relations to General Hypergeometric Functions

Letters in Mathematical Physics, 1997
The aim of this paper is to give a new approach to hypergeometric functions. According to this approach, hypergeometric functions are defined as solutions of GG-systems which are collections of linear relations for a function \(f(a,\alpha)\) of \(a,\alpha \in {\mathbb C}^N\), its first partial derivative with respect to \(a_i\) and shifts with respect ...
Gelfand, I. M., Graev, M. I.
openaire   +2 more sources

Univalent and Starlike Generalized Hypergeometric Functions

Canadian Journal of Mathematics, 1987
A single-valued function f(z) is said to be univalent in a domain if it never takes on the same value twice, that is, if f(z1) = f(z2) for implies that z1 = z2. A set is said to be starlike with respect to the line segment joining w0 to every other point lies entirely in . If a function f(z) maps onto a domain that is starlike with respect to w0,
Owa, Shigeyoshi, Srivastava, H. M.
openaire   +1 more source

Generating functions of the hypergeometric functions

Journal of Mathematical Physics, 1974
The Lie algebra, which was introduced in a previous paper to treat the hypergeometric functions by Lie theory techniques, is used to derive generating functions of the hypergeometric functions. Several generating functions are obtained from the theory of multiplier representations. Weisner's method is also applied, giving another generating function.
openaire   +2 more sources

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