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Eukaryotic secreted proteins are encoded in repeat-rich genomic regions
Farrer RA.
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Cell-free chromatin state tracing reveals disease origin and therapy responses. [PDF]
Chen X +30 more
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Competing programs shape cortical sensorimotor-association axis development. [PDF]
Tsyporin J +37 more
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A multi-tissue single-cell expression atlas in cattle. [PDF]
Han B +37 more
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Extended hypergeometric and confluent hypergeometric functions
Applied Mathematics and Computation, 2004The 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
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Some Properties of Extended Hypergeometric Function and Its Transformations
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
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Some results on the extended beta and extended hypergeometric functions
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Min-Jie Luo +2 more
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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
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Extended Gauss Hypergeometric Matrix Functions
Iranian Journal of Science and Technology, Transactions A: Science, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdalla, Mohamed, Bakhet, A.
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