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Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
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Third-Order Fuzzy Subordination and Superordination on Analytic Functions on Punctured Unit Disk
AxiomsThis work’s theorems and corollaries present new third-order fuzzy differential subordination and superordination results developed by using a novel convolution linear operator involving the Gaussian hypergeometric function and a previously studied ...
Ekram E. Ali +3 more
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Vector-Valued Polynomials and a Matrix Weight Function with B2-Action. II
Symmetry, Integrability and Geometry: Methods and Applications, 2013 This is a sequel to [SIGMA 9 (2013), 007, 23 pages], in which there is a construction of a 2×2 positive-definite matrix function K(x) on R^2. The entries of K(x) are expressed in terms of hypergeometric functions. This matrix is used in the formula for a
Charles F. Dunkl
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Properties of analytic functions involving a differintegral operator defined using R-function
Arab Journal of Basic and Applied SciencesThe so-called R-function combines the generalized Gaussian hypergeometric function and generalized Mittag-Leffler function. The R-function is a generalization of well-known M-series which is defined to accommodate the well-known Srivastava-Tomovski ...
Elangho Umadevi +2 more
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Supercongruences between truncated ₂𝐹₁ hypergeometric functions and their Gaussian analogs [PDF]
Transactions of the American Mathematical Society, 2002 Fernando Rodriguez-Villegas has conjectured a number of supercongruences for hypergeometric Calabi-Yau manifolds of dimension d ≤
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, 2016 R code script for performing the hypergeometric test and BH FDR correction (Bunnik et al., Genome Biology, 2016) This script performs a hypergeometric test on each row of a dataframe with 4 columns.
Evelien Bunnik (2831954)
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Journal of Nigerian Society of Physical SciencesIn this study, rigorous analytical criteria are developed to determine when the Gaussian hypergeometric function belongs to the Sakaguchi-type class P(delta, sigma,t).
R. Kamali, S. Prema
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Distribution of the Hessian values of Gaussian hypergeometric functions
The Ramanujan JournalAbstract We consider a special family of Gaussian hypergeometric functions whose entries are cubic and trivial characters over finite fields. The special values of these functions are known to give the Frobenius traces of families of Hessian elliptic curves.
Ono, Ken +3 more
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Close-to-convexity properties of Gaussian hypergeometric functions
Journal of Computational and Applied Mathematics, 1998 Let \(F(a, b;c;z)\) be the classical hypergeometric function. The sufficient conditions on \(a\), \(b\), \(c\) under which \(zF(a,b; c,z)\) or \({c\over ab} [F(a, b; c;z)- 1]\) is closed-to-convex of order \(\beta\) in \(| z|< 1\) are given. Example: If \(a\in (0,\infty)\), \(b\in\left(0,{1\over a}\right]\) and if for some real \(\eta\), \(|\eta|< {\pi\
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Characteristic function estimation of non-Gaussian Ornstein-Uhlenbeck processes. [PDF]
Continuous non-Gaussian stationary processes of the OU-type are becoming increasingly popular given their flexibility in modelling stylized features of financial series such as asymmetry, heavy tails and jumps.
Emanuele Taufer
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