Results 231 to 240 of about 40,608 (254)

Genetic and epigenetic screens in primary human T cells link candidate causal autoimmune variants to T cell networks. [PDF]

open access: yesNat Genet
Ho CH   +16 more
europepmc   +1 more source

Co-Conservation of synaptic gene expression and circuitry in collicular neurons. [PDF]

open access: yesNat Commun
Liu Y   +8 more
europepmc   +1 more source

A consensus blood transcriptomic framework for sepsis. [PDF]

open access: yesNat Med
Scicluna BP   +11 more
europepmc   +1 more source

Extended hypergeometric and confluent hypergeometric functions

Applied Mathematics and Computation, 2004
The functions under consideration are the extended Gaussian hypergeometric function \[ F_p(a,b;c,z)= {1\over B(b,c- b)} \int^1_0 t^{b-1}(1- t)^{c-b-1}(1- zt)^{-a}\exp\Biggl[-{p\over t(1- t)}\Biggr]\,dt \] and its confluent counterpart \(\Phi_p(b;c;z)\) with \(\exp(zt)\) in place of \((1- zt)^{-a}\). The authors discuss differentiation with respect to \(
Chaudhry, M. Aslam   +3 more
openaire   +4 more sources

Extended Gauss Hypergeometric Matrix Functions

Iranian Journal of Science and Technology, Transactions A: Science, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdalla, Mohamed, Bakhet, A.
openaire   +3 more sources

Some results on the extended beta and extended hypergeometric functions

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, Min-Jie   +2 more
openaire   +3 more sources

Extended Multivariable Hypergeometric Functions

2019
In this chapter, we define an extension of multivariable hypergeometric functions. We obtain a generating function for these functions. Furthermore, we derive a family of multilinear and multilateral generating functions for these extended multivariable hypergeometric functions.
Erkuş-Duman, Esra, Düzgün, Düriye
openaire   +2 more sources

EXTENDED GENERALIZED τ -GAUSS’ HYPERGEOMETRIC FUNCTIONS AND THEIR APPLICATIONS

South East Asian J. of Mathematics and Mathematical Sciences, 2022
In this article, by means of the extended beta function, we introduce new extension of the generalized τ -Gauss’ hypergeometric functions and present some new integral and series representations (including the one obtained by adopt- ing the well-known Ramanujan’s Master Theorem).
Chauhan, Bharti, Rai, Prakriti
openaire   +2 more sources

Extended symmetric Pascal matrices via hypergeometric functions

Applied Mathematics and Computation, 2004
Cholesky's factorization of a symmetric, positive definite matrix has been studied recently in the context of factorizing the generalized Pascal and the symmetric Pascal matrices obtained from the Pascal triangle. The purpose of the paper is to get several positive definite matrices with the Cholesky triangles as the extended generalized Pascal ...
Cheon, Gi-Sang, El-Mikkawy, Moawwad
openaire   +1 more source

Some Properties of Extended Hypergeometric Function and Its Transformations

Journal of the Indian Mathematical Society, 2018
There emerges different extended versions of Beta function and hypergeometric functions containing extra parameters. We obtain some properties of certain functions like extended Generalized Gauss hypergeometric functions, extended Confluent hypergeometric functions including transformation formulas, Mellin transformation for the generalized extended ...
Chaturvedi, Aparna, Rai, Prakriti
openaire   +2 more sources

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