Results 11 to 20 of about 12,887 (246)
Euler’s integrals and multiple sine functions [PDF]
Proceedings of the American Mathematical Society, 2004 We show that Euler’s famous integrals whose integrands contain the logarithm of the sine function are expressed via multiple sine functions.
Koyama Shin-ya, Kurokawa Nobushige
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Multiplicative Concavity of the Integral of Multiplicatively Concave Functions [PDF]
Journal of Inequalities and Applications, 2010 A real-valued function \(f:I\subseteq {\mathbb R} \rightarrow (0,\infty)\) is said to be multiplicatively convex if \[ f(x^{1/2}y^{1/2}) \leq f^{1/2}(x)f^{1/2}(y) \] for all \(x,y \in I\). And \(f\) is called multiplicatively concave if \(1/f\) is multiplicatively convex. Multiplicatively convexity on \(E\subseteq {\mathbb R}_+^2\) is defined similarly.
Yu-Ming Chu, Xiao-Ming Zhang
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Jackson's integral of multiple Hurwitz–Lerch zeta functions and multiple gamma functions [PDF]
Journal of Mathematical Analysis and Applications, 2018 Using the Jackson integral, we obtain the $q$-integral analogue of the Raabe type formulas for Barnes multiple Hurwitz-Lerch zeta functions and Barnes and Vardi's multiple gamma functions. Our results generalize $q$-integral analogue of the Raabe type formulas for the Hurwitz zeta functions and log gamma functions in [N. Kurokawa, K.
Su Hu, Daeyeoul Kim, Min-Soo Kim
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Integrating multiple networks for protein function prediction [PDF]
BMC Systems Biology, 2015 High throughput techniques produce multiple functional association networks. Integrating these networks can enhance the accuracy of protein function prediction. Many algorithms have been introduced to generate a composite network, which is obtained as a weighted sum of individual networks.
Yu, Guoxian +3 more
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Functional integral approach for multiplicative stochastic processes [PDF]
Physical Review E, 2010 We present a functional formalism to derive a generating functional for correlation functions of a multiplicative stochastic process represented by a Langevin equation. We deduce a path integral over a set of fermionic and bosonic variables without performing any time discretization.
Arenas, Zochil González +1 more
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Iterated period integrals and multiple Hecke L-functions [PDF]
Manuscripta Mathematica, 2013 In this paper we express the multiple Hecke $L$-function in terms of a linear combination of iterated period integrals associated with elliptic cusp forms, which is introduced by Manin around 2004. This expression generalizes the classical formula of Hecke $L$-function obtained by the Mellin transformation of a cusp form.
Choie, Y, Kentaro Ihara
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Multiple scattering and functional integrals [PDF]
Physical Review D, 1997 A functional integral method for performing the statistical averages implicit in problems involving multiple scattering is developed. The scattering fields in a noncrystalline medium are represented as a fixed set of fields for each incident particle, but are assumed to vary randomly from one particle in the beam to the next.
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Integrating Multiple Interaction Networks for Gene Function Inference [PDF]
Molecules, 2018 In the past few decades, the number and variety of genomic and proteomic data available have increased dramatically. Molecular or functional interaction networks are usually constructed according to high-throughput data and the topological structure of these interaction networks provide a wealth of information for inferring the function of genes or ...
Jingpu Zhang, Lei Deng
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Multiple Functions of Rad9 for Preserving Genomic Integrity [PDF]
Current Genomics, 2006 DNA-damage checkpoints sense and respond to genomic damage. Human Rad9 (hRad9), an evolutionarily conserved gene with multiple functions for preserving genomic integrity, plays multiple roles in fundamental biological processes, including the regulation of the DNA damage response, cell cycle checkpoint control, DNA repair, apoptosis, transcriptional ...
Kazuhiro, Ishikawa +3 more
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The hypocretins/orexins: integrators of multiple physiological functions [PDF]
British Journal of Pharmacology, 2013 The hypocretins (Hcrts), also known as orexins, are two peptides derived from a single precursor produced in the posterior lateral hypothalamus. Over the past decade, the orexin system has been associated with numerous physiological functions, including sleep/arousal, energy homeostasis, endocrine, visceral functions and pathological states, such as ...
Jingcheng, Li, Zhian, Hu, Luis, de Lecea
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