Results 11 to 20 of about 760 (93)
Lauricella hypergeometric series $$F_A^{(n)}$$ over finite fields [PDF]
The Ramanujan Journal, 2021 13 ...
Arjun Singh Chetry, Gautam Kalita
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Some Transformation of a Multiple Hypergeometric Series of Lauricella Function of n Variables [PDF]
Journal of Physical Science and Application, 2015 Nabiullah Khan, T. Kashmin
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, 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 ...
Ryo Ohashi, Shushi Harashita
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On a family of multivariate modified Humbert polynomials. [PDF]
ScientificWorldJournal, 2013 This paper attempts to present a multivariable extension of generalized Humbert polynomials. The results obtained here include various families of multilinear and multilateral generating functions, miscellaneous properties, and also some special cases for these multivariable polynomials.
Aktaş R, Erkuş-Duman E.
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Simple PDF of the sum and maximum of non‐identical fluctuating two‐ray variates
Electronics Letters, Volume 58, Issue 16, Page 633-635, August 2022., 2022 Abstract In this letter, probability density function (PDF) of the sum and maximum of non‐identical fluctuating two‐ray (FTR) variates are derived in terms of the power and exponential functions. To this effect, novel mathematically tractable expressions of the outage probability (OP) and average bit error probability (ABEP) for both the maximal ratio ...
Hussien Al‐Hmood +2 more
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On Gaussian Hypergeometric Functions of Three Variables: Some New Integral Representations
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The present paper establishes several new integral representations of the Euler type and Laplace type for some Gauss hypergeometric functions of three variables. The main results are obtained by using the properties of Gamma and beta functions. The novel integral representations are carried out through ten hypergeometric functions of three variables ...
Maged G. Bin-Saad +5 more
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On the Fock Kernel for the Generalized Fock Space and Generalized Hypergeometric Series
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, we compute the reproducing kernel Bm,α(z, w) for the generalized Fock space Fm,α2ℂ. The usual Fock space is the case when m = 2. We express the reproducing kernel in terms of a suitable hypergeometric series 1Fq. In particular, we show that there is a close connection between B4,α(z, w) and the error function.
Jong-Do Park, Guozhen Lu
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Some Summation Formulas for the Generalized Kampé de Fériet Function
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 The aim of this manuscript is to establish several finite summation formulas (FSFs) for the generalized Kampé de Fériet series (GKDFS). Moreover, the particular result for confluent forms of Lauricella series in n variables and four generalized Lauricella functions are obtained from the finite summation formulas for the GKDFS.
Ashish Verma +4 more
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On Decomposition Formulas Related to the Gaussian Hypergeometric Functions in Three Variables
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, by using certain inverse pairs of symbolic operators introduced by Choi and Hasanov in 2011, we establish several decomposition formulas associated with the Gaussian triple hypergeometric functions. Some transformation formulas for these functions have also been obtained.
Anvar Hasanov +3 more
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