Results 11 to 20 of about 2,863,909 (272)
Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We describe a uniform way of obtaining basic hypergeometric functions as limits of the elliptic beta integral. This description gives rise to the construction of a polytope with a different basic hypergeometric function attached to each face of this ...
Fokko J. van de Bult, Eric M. Rains
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Expansions of hypergeometric functions in hypergeometric functions [PDF]
Mathematics of Computation, 1961 In [1] Luke gave an expansion of the confluent hypergeometric function in terms of the modified Bessel functions I v ( z ) {I_v}(z) .
Jerry L. Fields, Jet Wimp
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Algebraic A-hypergeometric functions [PDF]
Inventiones mathematicae, 2010 We formulate and prove a combinatorial criterion to decide if an A-hypergeometric system of differential equations has a full set of algebraic solutions or not.
Beukers, F. +3 more
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Hypergeometric Series, Truncated Hypergeometric Series, and Gaussian Hypergeometric Functions [PDF]
, 2016 In this paper, we investigate the relationships among hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions through some families of “hypergeometric†algebraic varieties that are higher dimensional analogues of ...
Holly Swisher +9 more
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Certain Properties of q-Hypergeometric Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2015 The quotients of certain q-hypergeometric functions are presented as g-fractions which converge uniformly in the unit disc. These results lead to the existence of certain q-hypergeometric functions in the class of either q-convex functions, PCq, or q ...
Uzoamaka A. Ezeafulukwe, Maslina Darus
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, 2021 U ovom radu definirali smo opći oblik hipergeometrijske funkcije te se bliže upoznali s nekim specijalnim funkcijama kao što su generalizirane hipergeometrijske funkcije, Gaussova hipergeometrijska funkcija i konfluentna hipergeometrijska funkcija ...
Bijelić, Aleksandra
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New Zero-Free Regions for Hypergeometric Zeta and Fractional Hypergeometric Zeta Functions
Journal of Mathematics, 2022 We describe and demonstrate zero-free regions for the families called “hypergeometric zeta functions” and “fractional hypergeometric zeta functions”. These zero-free regions are vertical strips in the right half of the complex plane.
Demessie Ergabus Birmechu +1 more
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ON CONTIGUITY RELATIONS FOR GENERALIZED HYPERGEOMETRIC FUNCTIONS [PDF]
Проблемы анализа, 2018 We derive formulas that generalize contiguity relations of Gauss hypergeometric functions to the case of hypergeometric functions satisfying differential equations of arbitrary order and also of solution matrices of their corresponding homogeneous ...
V. A. Gorelov
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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 ...
Daya K. Nagar +2 more
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A relationship between rational and multi-soliton solutions of the BKP hierarchy [PDF]
, 2005 We consider a special class of solutions of the BKP hierarchy which we call $\tau$-functions of hypergeometric type. These are series in Schur $Q$-functions over partitions, with coefficients parameterised by a function of one variable $\xi$, where the ...
Orlov, A.Y., Nimmo, J.J.C.
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