Results 101 to 110 of about 5,426,135 (190)
A character sum evaluation and Gaussian hypergeometric series [PDF]
, 1986 Evans has conjectured the value of a certain character sum. The conjecture is confirmed using properties of Gaussian hypergeometric series which are well known for hypergeometric series.
Greene, J, Stanton, D
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The balance simplex in non-competitive 2-species scaled Lotka–Volterra systems
Journal of Biological Dynamics, 2019 Explicit expressions in terms of Gaussian Hypergeometric functions are found for a ‘balance’ manifold that connects the non-zero steady states of a 2-species, non-competitive, scaled Lotka–Volterra system by the unique heteroclinic orbits. In this model,
Atheeta Ching, Stephen Baigent
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Coupon Bond Valuation with a Non-Affine Discount Yield Model [PDF]
I report a closed form for the Laplace transform of the Ahn Gao (RFS, 1999) discount function and show how this can be used for pricing non-zero coupon bond prices, including hybrid fixed/variable rate instruments.
Peter D Spencer
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On the Generalized Inverse Gaussian Volatility in the Continuous Ho–Lee Model
ComputationThis paper presents a new model of the term structure of interest rates that is based on the continuous Ho–Lee one. In this model, we suggest that the drift and volatility coefficients depend additionally on a generalized inverse Gaussian (GIG ...
Roman V. Ivanov
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A Note on Convexity Properties for Gaussian Hypergeometric Function
Contemporary MathematicsGaussian hypergeometric function has been investigated in the context of geometric function theory regarding many aspects. Obtaining univalence conditions for this function is a line of research followed by many scholars. In the present study, methods specific to the differential superordination theory are used for obtaining properties of the Gaussian ...
Georgia Irina Oros, Ancuța Maria Rus
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MATHIEU-TYPE SERIES BUILT BY (p, q)-EXTENDED GAUSSIAN HYPERGEOMETRIC FUNCTION
Bulletin of the Korean Mathematical Society, 2017 The main purpose of this paper is to present closed integral form expressions for the Mathieu-type $\boldsymbol a$-series and its associated alternating version whose terms contain a $(p, q)$-extended Gauss' hypergeometric function. Certain upper bounds for the two series are also given.
Choi, Junesang +2 more
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Monotonicity properties of the Gaussian hypergeometric functions with applications
Journal of Mathematical InequalitiesIn this paper, the authors establish certain monotonicity properties of functions involving particular cases of Gaussian hypergeometric functions, which generalize known inequalities related to elliptic-type integrals and Grötzsch ring-type functions.
Ma, Xiao-Yan +2 more
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, 2007 —An asynchronous binary DS-CDMA system using random spreading sequences is considered when communicating over various fading channels. New closed-form expressions are derived for the conditional Characteristic Function (CF) of the multiple access ...
Liu, Xiang, Hanzo, Lajos
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Non-Gaussian integrals and general hypergeometric functions
, 2020 By a non-Gaussian integral we mean integral of the product of an arbitrary function and exponent of a polynomial. We develop a theory of such integrals, which generalizes and simplifies the theory of general hypergeometric functions in the sense of I. M. Gelfand et al.
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Procrustean entanglement concentration, weak measurements and optimized state preparation for continuous-variable quantum optics [PDF]
, 2009 In this thesis, we are concerned with continuous-variable quantum optical state engineering protocols. Such protocols are designed to repair or enhance the nonclassical features of a given state.
Menzies, David
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