The Experts below are selected from a list of 133755 Experts worldwide ranked by ideXlab platform
Thabet Abdeljawad - One of the best experts on this subject based on the ideXlab platform.
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properties and applications of a new extended Gamma Function involving confluent hypergeometric Function
Journal of Mathematics, 2021Co-Authors: Abdus Saboor, Kottakkaran Sooppy Nisar, Gauhar Rahman, Hazrat Ali, Thabet AbdeljawadAbstract:In this paper, a new confluent hypergeometric Gamma Function and an associated confluent hypergeometric Pochhammer symbol are introduced. We discuss some properties, for instance, their different integral representations, derivative formulas, and generating Function relations. Different special cases are also considered.
Gonenc Mogol - One of the best experts on this subject based on the ideXlab platform.
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Gamma Function solutions to the star triangle equation
Nuclear Physics, 2021Co-Authors: Ege Eren, Ilmar Gahramanov, Shahriyar Jafarzade, Gonenc MogolAbstract:Abstract In the paper, we clarify some relations between solutions to the star-triangle equation via the gauge/YBE correspondence. We consider two solutions to the star-triangle relation in terms of Euler's Gamma Function. We derive these solutions from the reduction of certain basic and hyperbolic hypergeometric integral identities. These identities can be interpreted as equality of the supersymmetric partition Functions of a specific three-dimensional N = 2 supersymmetric dual theories.
Michitomo Nishizawa - One of the best experts on this subject based on the ideXlab platform.
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infinite product representations fot multiple Gamma Function
arXiv: Classical Analysis and ODEs, 2004Co-Authors: Michitomo NishizawaAbstract:Two kinds of infinite product representations for Vign\'eras multiple Gamma Function are presented. As an application of these formulas, a multiplication formula for the Function is derived.
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multiple Gamma Function its q and elliptic analogue
Rocky Mountain Journal of Mathematics, 2002Co-Authors: Michitomo NishizawaAbstract:Vigneras's multiple Gamma Function is introduced as a Function satisfying a generalization of the Bohr-Mollerup theorem. An infinite product representation and an asymptotic expansion of the Function are given. Furthermore, its q- and elliptic analogue are introduced as relevant with the defining relations of q-Gamma Function and of elliptic Gamma Function.
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an elliptic analogue of the multiple Gamma Function
Journal of Physics A, 2001Co-Authors: Michitomo NishizawaAbstract:A hierarchy of Functions including the elliptic Gamma Function is introduced. It can be interpreted as an elliptic analogue of the multiple Gamma Function and its trigonometric limit coincides with a q-analogue of the multiple Gamma Function. Some properties of the Functions are considered.
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the multiple Gamma Function and its q analogue
arXiv: Quantum Algebra, 1996Co-Authors: Kimio Ueno, Michitomo NishizawaAbstract:We give an asymptotic expansion (the higher Stirling formula) and an infinite product representation (the Weierstrass product formula) of the Vign\'{e}ras multiple Gamma Function by considering the classical limit of the multiple q-Gamma Function.
Ilmar Gahramanov - One of the best experts on this subject based on the ideXlab platform.
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Gamma Function solutions to the star triangle equation
Nuclear Physics, 2021Co-Authors: Ege Eren, Ilmar Gahramanov, Shahriyar Jafarzade, Gonenc MogolAbstract:Abstract In the paper, we clarify some relations between solutions to the star-triangle equation via the gauge/YBE correspondence. We consider two solutions to the star-triangle relation in terms of Euler's Gamma Function. We derive these solutions from the reduction of certain basic and hyperbolic hypergeometric integral identities. These identities can be interpreted as equality of the supersymmetric partition Functions of a specific three-dimensional N = 2 supersymmetric dual theories.
Sergey Sergeev - One of the best experts on this subject based on the ideXlab platform.
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elliptic Gamma Function and multi spin solutions of the yang baxter equation
Nuclear Physics, 2012Co-Authors: Vladimir V Bazhanov, Sergey SergeevAbstract:Abstract We present a generalization of the master solution to the quantum Yang–Baxter equation (obtained recently in arXiv:1006.0651 ) to the case of multi-component continuous spin variables taking values on a circle. The Boltzmann weights are expressed in terms of the elliptic Gamma-Function. The associated solvable lattice model admits various equivalent descriptions, including an interaction-round-a-face formulation with positive Boltzmann weights. In the quasi-classical limit the model leads to a new series of classical discrete integrable equations on planar graphs.
