Results 61 to 70 of about 12,448 (236)

Fractional operators with generalized Mittag-Leffler k-function

Advances in Difference Equations, 2019
In this paper, our main aim is to deal with two integral transforms involving the Gauss hypergeometric functions as their kernels. We prove some composition formulas for such generalized fractional integrals with Mittag-Leffler k-function.
Shahid Mubeen, Rana Safdar Ali
doaj   +1 more source

Expressions for values of the gamma function

, 2004
This paper presents expressions for gamma values at rational points with the denominator dividing 24 or 60. These gamma values are expressed in terms of 10 distinct gamma values and rational powers of $\pi$ and a few real algebraic numbers.
Vidunas, Raimundas
core   +1 more source

Principal frequency of clamped plates on RCD(0,N)${\sf RCD}(0,N)$ spaces: Sharpness, rigidity, and stability

Proceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.
Abstract We study fine properties of the principal frequency of clamped plates in the (possibly singular) setting of metric measure spaces verifying the RCD(0,N)${\sf RCD}(0,N)$ condition, that is, infinitesimally Hilbertian spaces with nonnegative Ricci curvature and dimension bounded above by N>1$N>1$ in the synthetic sense.
Alexandru Kristály, Andrea Mondino
wiley   +1 more source

A New Closed-Form Formula of the Gauss Hypergeometric Function at Specific Arguments

Axioms
In this paper, the authors briefly review some closed-form formulas of the Gauss hypergeometric function at specific arguments, alternatively prove four of these formulas, newly extend a closed-form formula of the Gauss hypergeometric function at some ...
Yue-Wu Li, Feng Qi
doaj   +1 more source

A new proof of Watson's theorem for the series 3F2(1) [PDF]

, 2009
We give a new proof of the classical Watson theorem for the summation of a 3F2 hypergeometric series of unit argument.
Paris, R. B., Rathie, Arjun K.
core  

Transformations of some Gauss hypergeometric functions

Journal of Computational and Applied Mathematics, 2005
This paper presents explicit algebraic transformations of some Gauss hypergeometric functions. Specifically, the transformations considered apply to hypergeometric solutions of hypergeometric differential equations with the local exponent differences $1/K,1/L,1/M$ such that $K,L,M$ are positive integers and $1/K+1/L+1/M<1$.
openaire   +4 more sources

Axion‐Like Interactions and CFT in Topological Matter, Anomaly Sum Rules and the Faraday Effect

Advanced Physics Research, Volume 4, Issue 7, July 2025.
This review investigates the connection between chiral anomalies and their manifestation in topological materials, using both perturbative methods based on ordinary quantum field theory and conformal field theory (CFT). It emphasizes the role of CFT in momentum space for parity‐odd correlation functions, and their reconstruction by the inclusion of a ...
Claudio Corianò, Mario Cretì, Stefano Lionetti, Dario Melle, Riccardo Tommasi   +4 more
wiley   +1 more source

Some Incomplete Hypergeometric Functions and Incomplete Riemann-Liouville Fractional Integral Operators

Mathematics, 2019
Very recently, the incomplete Pochhammer ratios were defined in terms of the incomplete beta function B y ( x , z ) . With the help of these incomplete Pochhammer ratios, we introduce new incomplete Gauss, confluent hypergeometric, and Appell&#
Mehmet Ali Özarslan, Ceren Ustaoğlu
doaj   +1 more source

Diffusive Equilibrium: Modeling Anisotropic Maxwellian and Kappa Field Line Distributions in Io's Plasma Torus Using Multi‐Fluid and Kinetic Approaches

Journal of Geophysical Research: Space Physics, Volume 130, Issue 7, July 2025.
Abstract Modeling density distributions along Jupiter's magnetic field lines is essential for understanding the Io plasma torus, moon plasma interactions, and plasma throughout the magnetosphere. This study compares multi‐fluid and kinetic approaches to diffusive equilibrium and the effects of different plasma distribution functions and anisotropy.
Edward G. Nerney
wiley   +1 more source

Small Sample Inference for Two‐Way Capture‐Recapture Experiments

International Statistical Review, Volume 93, Issue 1, Page 62-72, April 2025.
Summary The properties of the generalised Waring distribution defined on the non‐negative integers are reviewed. Formulas for its moments and its mode are given. A construction as a mixture of negative binomial distributions is also presented. Then we turn to the Petersen model for estimating the population size N in a two‐way capture‐recapture ...
Louis‐Paul Rivest, Mamadou Yauck
wiley   +1 more source