Results 21 to 30 of about 760 (93)
The behaviour of the fourth type of Lauricella's hypergeometric series in n variables near the boundaries of its convergence region [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1994 AbstractFor Lauricella's hypergeometric function F(n)D of n variables, we prove two formulas exhibiting its behaviour near the boundaries of the n-dimensional region of convergence of the multiple series defining it. Each of these results can be applied to deduce the corresponding properties of several simpler hypergeometric functions of one, two, and ...
Megumi Saigo, Hari M. Srivastava
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Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 Recently, hypergeometric functions of four variables are investigated by Bin‐Saad and Younis. In this manuscript, our goal is to initiate a new quadruple hypergeometric function denoted by X844, and then, we ensure the existence of solutions of systems of partial differential equations for this function.
Anvar Hasanov +3 more
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Some Formulas for New Quadruple Hypergeometric Functions
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, we aim to introduce six new quadruple hypergeometric functions. Then, we investigate certain formulas and representations for these functions such as symbolic formulas, differential formulas, and integral representations.
Jihad A. Younis +3 more
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Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 Generating functions plays an essential role in the investigation of several useful properties of the sequences which they generate. In this paper, we establish certain generating relations, involving some quadruple hypergeometric functions introduced by Bin‐Saad and Younis. Some interesting special cases of our main results are also considered.
Jihad Younis +3 more
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The Generalized Hypergeometric Structure of the Ward Identities of CFT's in Momentum Space in $d > 2$ [PDF]
, 2020 We review the emergence of hypergeometric structures (of $F_4$ Appell functions) from the conformal Ward identities (CWIs) in conformal field theories (CFTs) in dimensions $d > 2$. We illustrate the case of scalar 3- and 4-point functions.
Corianò, Claudio, Maglio, Matteo Maria
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Decomposition formulas for some quadruple hypergeometric series
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In the present work, the authors obtained operator identities and decomposition formulas for second order Gauss hypergeometric series of four variables into products containing simpler hypergeometric functions. A Choi–Hasanov method based on the inverse
A.S. Berdyshev, A. Hasanov, A.R. Ryskan
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Algebraicity of the Appell-Lauricella and Horn hypergeometric functions [PDF]
, 2011 We extend Schwarz' list of irreducible algebraic Gauss functions to the four classes of Appell-Lauricella functions in several variables and the 14 complete Horn functions in two variables. This gives an example of a family of functions such that for any
Bod, Esther
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Moments of Dirichlet splines and their applications to hypergeometric functions [PDF]
, 1993 Dirichlet averages of multivariate functions are employed for a derivation of basic recurrence formulas for the moments of multivariate Dirichlet splines. An algorithm for computing the moments of multivariate simplex splines is presented.
Neuman, Edward, Van Fleet, Patrick J.
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On the q-Analogues of Srivastava’s Triple Hypergeometric Functions
Axioms, 2013 We find Euler integral formulas, summation and reduction formulas for q-analogues of Srivastava’s three triple hypergeometric functions. The proofs use q-analogues of Picard’s integral formula for the first Appell function, a summation formula for the ...
Thomas Ernst
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Motions about a fixed point by hypergeometric functions: new non-complex analytical solutions and integration of the herpolhode [PDF]
, 2018 We study four problems in the dynamics of a body moving about a fixed point, providing a non-complex, analytical solution for all of them. For the first two, we will work on the motion first integrals. For the symmetrical heavy body, that is the Lagrange-
Ritelli, Daniele +1 more
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