The Experts below are selected from a list of 13113 Experts worldwide ranked by ideXlab platform
Stephan Stieberger - One of the best experts on this subject based on the ideXlab platform.
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complete n point superstring disk amplitude ii amplitude and Hypergeometric Function structure
Nuclear Physics, 2013Co-Authors: Carlos R Mafra, Oliver Schlotterer, Stephan StiebergerAbstract:Using the pure spinor formalism in part I (Mafra et al., preprint [1]) we compute the complete tree-level amplitude of N massless open strings and find a striking simple and compact form in terms of minimal building blocks: the full N-point amplitude is expressed by a sum over (N − 3)! Yang–Mills partial subamplitudes each multiplying a multiple Gaussian Hypergeometric Function. While the former capture the space–time kinematics of the amplitude the latter encode the string effects. This result disguises a lot of structure linking aspects of gauge amplitudes as color and kinematics with properties of generalized Euler integrals. In this part II the structure of the multiple Hypergeometric Functions is analyzed in detail: their relations to monodromy equations, their minimal basis structure, and methods to determine their poles and transcendentality properties are proposed. Finally, a Grobner basis analysis provides independent sets of rational Functions in the Euler integrals. © 2013 Elsevier B.V. All rights reserved.
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complete n point superstring disk amplitude ii amplitude and Hypergeometric Function structure
arXiv: High Energy Physics - Theory, 2011Co-Authors: Carlos R Mafra, Oliver Schlotterer, Stephan StiebergerAbstract:Using the pure spinor formalism in part I [1] we compute the complete tree-level amplitude of N massless open strings and find a striking simple and compact form in terms of minimal building blocks: the full N-point amplitude is expressed by a sum over (N-3)! Yang-Mills partial subamplitudes each multiplying a multiple Gaussian Hypergeometric Function. While the former capture the space-time kinematics of the amplitude the latter encode the string effects. This result disguises a lot of structure linking aspects of gauge amplitudes as color and kinematics with properties of generalized Euler integrals. In this part II the structure of the multiple Hypergeometric Functions is analyzed in detail: their relations to monodromy equations, their minimal basis structure, and methods to determine their poles and transcendentality properties are proposed. Finally, a Groebner basis analysis provides independent sets of rational Functions in the Euler integrals.
Daya K. Nagar - One of the best experts on this subject based on the ideXlab platform.
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Properties of Matrix Variate Confluent Hypergeometric Function Distribution
Journal of Probability and Statistics, 2016Co-Authors: Arjun K. Gupta, Daya K. Nagar, Luz Estela SanchezAbstract:We study matrix variate confluent Hypergeometric Function kind 1 distribution which is a generalization of the matrix variate gamma distribution. We give several properties of this distribution. We also derive density Functions of , , and , where independent random matrices and follow confluent Hypergeometric Function kind 1 and gamma distributions, respectively.
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Bivariate Extended Confluent Hypergeometric Function Distribution
American Journal of Mathematical and Management Sciences, 2013Co-Authors: Daya K. Nagar, Raúl Alejandro Morán-vásquez, Alejandro Roldán-correaAbstract:SYNOPTIC ABSTRACT In this article, we define a bivariate extended confluent Hypergeometric Function density in terms of extended confluent Hypergeometric Function. We also derive several of its properties and results in terms of extended beta, extended confluent Hypergeometric, and modified Bessel Functions.
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multivariate generalization of the Hypergeometric Function type i distribution
Acta Applicandae Mathematicae, 2009Co-Authors: Daya K. Nagar, Paula Andrea Brancardona, Arjun K. GuptaAbstract:The Hypergeometric Function type I distribution with the pdf proportional to x ν−1(1−x)γ−1 2 F 1(α,β;γ;1−x), 0
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Properties of confluent Hypergeometric Function kind 1 distribution
Journal of Interdisciplinary Mathematics, 2008Co-Authors: Daya K. Nagar, Fabio Fabio Sepúlveda-murilloAbstract:Abstract The confluent Hypergeometric Function kind 1 random variable has the probability density Function proportional to x v−1 1 F 1(α;β;−x). In this article, we study several properties of this distribution. We also derive density Functions of X 1 / X 2, X 1 / (X 1 + X 2) and X 1 + X 2 where X 1 and X 2 are independent confluent Hypergeometric Function kind 1 and gamma variables, respectively.
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Multivariate Generalization of the Confluent Hypergeometric Function Kind 1 Distribution
International Journal of Mathematics and Mathematical Sciences, 2008Co-Authors: Daya K. Nagar, Fabio Fabio Sepúlveda-murilloAbstract:The confluent Hypergeometric Function kind 1 distribution with the probability density Function (pdf) proportional to occurs as the distribution of the ratio of independent gamma and beta variables. In this article, a multivariate generalization of this distribution is defined and derived. Several pertinent properties of this multivariate distribution are discussed that shed some light on the nature of the distribution.
Oliver Schlotterer - One of the best experts on this subject based on the ideXlab platform.
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complete n point superstring disk amplitude ii amplitude and Hypergeometric Function structure
Nuclear Physics, 2013Co-Authors: Carlos R Mafra, Oliver Schlotterer, Stephan StiebergerAbstract:Using the pure spinor formalism in part I (Mafra et al., preprint [1]) we compute the complete tree-level amplitude of N massless open strings and find a striking simple and compact form in terms of minimal building blocks: the full N-point amplitude is expressed by a sum over (N − 3)! Yang–Mills partial subamplitudes each multiplying a multiple Gaussian Hypergeometric Function. While the former capture the space–time kinematics of the amplitude the latter encode the string effects. This result disguises a lot of structure linking aspects of gauge amplitudes as color and kinematics with properties of generalized Euler integrals. In this part II the structure of the multiple Hypergeometric Functions is analyzed in detail: their relations to monodromy equations, their minimal basis structure, and methods to determine their poles and transcendentality properties are proposed. Finally, a Grobner basis analysis provides independent sets of rational Functions in the Euler integrals. © 2013 Elsevier B.V. All rights reserved.
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complete n point superstring disk amplitude ii amplitude and Hypergeometric Function structure
arXiv: High Energy Physics - Theory, 2011Co-Authors: Carlos R Mafra, Oliver Schlotterer, Stephan StiebergerAbstract:Using the pure spinor formalism in part I [1] we compute the complete tree-level amplitude of N massless open strings and find a striking simple and compact form in terms of minimal building blocks: the full N-point amplitude is expressed by a sum over (N-3)! Yang-Mills partial subamplitudes each multiplying a multiple Gaussian Hypergeometric Function. While the former capture the space-time kinematics of the amplitude the latter encode the string effects. This result disguises a lot of structure linking aspects of gauge amplitudes as color and kinematics with properties of generalized Euler integrals. In this part II the structure of the multiple Hypergeometric Functions is analyzed in detail: their relations to monodromy equations, their minimal basis structure, and methods to determine their poles and transcendentality properties are proposed. Finally, a Groebner basis analysis provides independent sets of rational Functions in the Euler integrals.
Carlos R Mafra - One of the best experts on this subject based on the ideXlab platform.
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complete n point superstring disk amplitude ii amplitude and Hypergeometric Function structure
Nuclear Physics, 2013Co-Authors: Carlos R Mafra, Oliver Schlotterer, Stephan StiebergerAbstract:Using the pure spinor formalism in part I (Mafra et al., preprint [1]) we compute the complete tree-level amplitude of N massless open strings and find a striking simple and compact form in terms of minimal building blocks: the full N-point amplitude is expressed by a sum over (N − 3)! Yang–Mills partial subamplitudes each multiplying a multiple Gaussian Hypergeometric Function. While the former capture the space–time kinematics of the amplitude the latter encode the string effects. This result disguises a lot of structure linking aspects of gauge amplitudes as color and kinematics with properties of generalized Euler integrals. In this part II the structure of the multiple Hypergeometric Functions is analyzed in detail: their relations to monodromy equations, their minimal basis structure, and methods to determine their poles and transcendentality properties are proposed. Finally, a Grobner basis analysis provides independent sets of rational Functions in the Euler integrals. © 2013 Elsevier B.V. All rights reserved.
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complete n point superstring disk amplitude ii amplitude and Hypergeometric Function structure
arXiv: High Energy Physics - Theory, 2011Co-Authors: Carlos R Mafra, Oliver Schlotterer, Stephan StiebergerAbstract:Using the pure spinor formalism in part I [1] we compute the complete tree-level amplitude of N massless open strings and find a striking simple and compact form in terms of minimal building blocks: the full N-point amplitude is expressed by a sum over (N-3)! Yang-Mills partial subamplitudes each multiplying a multiple Gaussian Hypergeometric Function. While the former capture the space-time kinematics of the amplitude the latter encode the string effects. This result disguises a lot of structure linking aspects of gauge amplitudes as color and kinematics with properties of generalized Euler integrals. In this part II the structure of the multiple Hypergeometric Functions is analyzed in detail: their relations to monodromy equations, their minimal basis structure, and methods to determine their poles and transcendentality properties are proposed. Finally, a Groebner basis analysis provides independent sets of rational Functions in the Euler integrals.
Lichien Shen - One of the best experts on this subject based on the ideXlab platform.
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on a theory of elliptic Functions based on the incomplete integral of the Hypergeometric Function _ 2 f_ 1 frac 1 4 frac 3 4 frac 1 2 z
Ramanujan Journal, 2014Co-Authors: Lichien ShenAbstract:Using the properties of conformal mappings and differential equations, we develop a class of elliptic Functions associated with the Hypergeometric Function ${_{2}}F_{1}(\frac{1}{4},\frac{3}{4};1;z)$ . A detailed comparison is made with the classical Jacobi elliptic Functions. Within the frame work of this theory, we provide a proof and new insight into a set of identities of Ramanujan associated with the above Hypergeometric Function.
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a note on ramanujan s identities involving the Hypergeometric Function _ 2 f_ 1 frac 1 6 frac 5 6 1 z
Ramanujan Journal, 2013Co-Authors: Lichien ShenAbstract:We study a class of elliptic Functions associated with the Hypergeometric Function \({_{2}}F_{1}(\frac{1}{6},\frac{5}{6};1;z)\). From the perspective of the properties of conformal mappings and differential equations, we provide new insight into a set of identities of Ramanujan associated with the above Hypergeometric Function.