Results 41 to 50 of about 40,608 (254)
The Bound State S-Matrix for AdS5 x S5 Superstring [PDF]
, 2009 We determine the S-matrix that describes scattering of arbitrary bound states in the light-cone string theory in AdS5 x S5. The corresponding construction relies on the Yangian symmetry and the superspace formalism for the bound state representations ...
A. Torrielli +62 more
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On extensions of two results due to Ramanujan [PDF]
, 2020 The aim in this note is to provide a generalization of an interesting entry in Ramanujan’s notebooks that relate sums involving the derivatives of a function φ(t) evaluated at 0 and 1.
Kim, Yong Sup +2 more
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Extended Matrix Variate Hypergeometric Functions and Matrix Variate Distributions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2015 Hypergeometric functions of matrix arguments occur frequently in multivariate statistical analysis. In this paper, we define and study extended forms of Gauss and confluent hypergeometric functions of matrix arguments and show that they occur naturally in statistical distribution theory.
Daya K. Nagar +2 more
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Advances in Difference Equations, 2018 Here, the concept of a new and interesting Riemann–Liouville type fractional derivative operator is exploited. Treatment of a fractional derivative operator has been made associated with the extended Appell hypergeometric functions of two variables and ...
M. Shadab +2 more
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On an extension of extended beta and hypergeometric functions [PDF]
Journal of Classical Analysis, 2017 Motivated mainly by certain interesting recent extensions of the Gamma, Beta and hypergeometric functions, we introduce here new extensions of the Beta function, hypergeometric and confluent hypergeometric functions. We systematically investigate several properties of each of these extended functions, namely their various integral representations ...
Parmar, Rakesh K. +2 more
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Some Results on the Extended Hypergeometric Matrix Functions and Related Functions
Journal of Mathematics, 2021 In this article, we discuss certain properties for generalized gamma and Euler’s beta matrix functions and the generalized hypergeometric matrix functions. The current results for these functions include integral representations, transformation formula, recurrence relations, and integral transforms.
Mohamed Abdalla +2 more
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Complexity, 2021 In this paper, we first introduce the incomplete extended Gamma and Beta functions with matrix parameters; then, we establish some different properties for these new extensions. Furthermore, we give a specific application for the incomplete Bessel matrix
Chaojun Zou +3 more
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Bivariate Extended Confluent Hypergeometric Function Distribution
American Journal of Mathematical and Management Sciences, 2013 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.
Nagar, Daya Krishna +2 more
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New extension of beta, Gauss and confluent hypergeometric functions
Cumhuriyet Science Journal, 2021 There are many extensions and generalizations of Gamma and Beta functions in the literature. However, a new extension of the extended Beta function B_(ζ〖, α〗_1)^(α_2;〖 m〗_1,〖 m〗_2 ) (a_1,a_2 ) was introduced and presented here because of its important ...
Umar Muhammad Abubakar +1 more
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From Conformal Group to Symmetries of Hypergeometric Type Equations [PDF]
, 2016 We show that properties of hypergeometric type equations become transparent if they are derived from appropriate 2nd order partial differential equations with constant coefficients.
Dereziński, Jan, Majewski, Przemysław
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