Lauricella hypergeometric series $$F_A^{(n)}$$ over finite fields [PDF]
The Ramanujan Journal, 2021 13 ...
Arjun Singh Chetry, Gautam Kalita
semanticscholar +6 more sources
Some Transformation of a Multiple Hypergeometric Series of Lauricella Function of n Variables [PDF]
Journal of Physical Science and Application, 2015 This paper deals with an integral transformation involving Whittaker function , into a multiple hypergeometric series of Lauricella function of variables.
null Nabiullah Khan, null T. Kashmin
semanticscholar +4 more sources
Differential forms on the curves associated to Appell-Lauricella hypergeometric series and the Cartier operator on them [PDF]
, 2021 Archinard studied the curve $C$ over $\mathbb{C}$ associated to an Appell-Lauricella hypergeometric series and differential forms on its desingularization. In this paper, firstly as a generalization of Archinard's results, we describe a partial desingularization of $C$ over a field $K$ under a mild condition on its characteristic and the space of ...
Ohashi, Ryo, Harashita, Shushi
openaire +3 more sources
On the Analytic Continuation of Lauricella–Saran Hypergeometric Function FK(a1,a2,b1,b2;a1,b2,c3;z)
Mathematics, 2023 The paper establishes an analytical extension of two ratios of Lauricella–Saran hypergeometric functions FK with some parameter values to the corresponding branched continued fractions in their domain of convergence.
Tamara Antonova +2 more
doaj +2 more sources
A Lauricella hypergeometric series over finite fields [PDF]
, 2016 22 pages.
Bing He
openaire +3 more sources
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 ...
Saigo, Megumi, Srivastava, H. M.
openaire +3 more sources
European Physical Journal C: Particles and Fields, 2020 Based on the method developed in Phan and Riemann (Phys Lett B 791:257, 2019), detailed analytic results for scalar one-loop two-, three-, four-point integrals in general d-dimension are presented in this paper.
Khiem Hong Phan
doaj +3 more sources
Logarithmic A-hypergeometric series $${\text {I}}\! {\text {I}}$$ I I [PDF]
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2022 In this paper, following (Saito in Int J Math 31(13):2050110, 2020), we continue to develop the perturbing method of constructing logarithmic series solutions to a regular A -hypergeometric system.
G. Okuyama, M. Saito
semanticscholar +1 more source
Some Unified Integrals for Generalized Mittag-Leffler Functions
Axioms, 2021 Here, we ascertain generalized integral formulas concerning the product of the generalized Mittag-Leffler function. These integral formulas are described in the form of the generalized Lauricella series.
Prakash Singh +2 more
doaj +1 more source
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2023 In this paper, using the modified beta function involving the generalized M-series in its kernel, we described new extensions for the Lauricella hypergeometric functions $F_{A}^{(r)}$, $F_{B}^{(r)}$, $F_{C}^{(r)}$ and $F_{D}^{(r)}$.
E. Ata
semanticscholar +1 more source