Results 141 to 150 of about 6,414,954 (167)

Cell-free chromatin state tracing reveals disease origin and therapy responses. [PDF]

open access: yesNature
Chen X   +30 more
europepmc   +1 more source

Competing programs shape cortical sensorimotor-association axis development. [PDF]

open access: yesNature
Tsyporin J   +37 more
europepmc   +1 more source

A multi-tissue single-cell expression atlas in cattle. [PDF]

open access: yesNat Genet
Han B   +37 more
europepmc   +1 more source

Multi-stromal organoid co-cultures model pancreatic cancer and pancreatitis epithelial cell-fibroblast heterogeneity

open access: yes
Li W   +17 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 \(
Asghar Qadir   +2 more
exaly   +4 more sources

Some Properties of Extended Hypergeometric Function and Its Transformations

open access: yesJournal 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   +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.
Min-Jie Luo   +2 more
exaly   +3 more sources

Some Remarks on Extended Hypergeometric, Extended Confluent Hypergeometric and Extended Appell's Functions

open access: yes, 2012
Recently, Chaudhry et al. have introduced the extended hypergeometric functions (EHF) and extended confluent hypergeometric functions (ECHF) by using the generalized beta functions [1]. In a similar way, Ozarslan et al. extended the first two Appell's hypergeometric functions. In this paper, we show that these extended functions can be represented
Ozarslan, Mehmet Ali
openaire   +2 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   +1 more source

Home - About - Disclaimer - Privacy