The Riemann method for equations with a dominant partial derivative (A Review) [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 This review article is devoted to a class of linear equations with a dominant (leading) partial derivative of the form \((D+M)u=f\), where \(Du\) is a mixed partial derivative, and \(M\) is a linear differential operator containing the derivatives of the
Aleksey N. Mironov +2 more
doaj +1 more source
Hyperbolic and trigonometric hypergeometric solutions to the star-star equation
European Physical Journal C: Particles and Fields, 2022 We construct the hyperbolic and trigonometric solutions to the star-star relation via the gauge/YBE correspondence by using the three-dimensional lens partition function and superconformal index for a certain $$\mathcal N=2$$ N = 2 supersymmetric gauge ...
Erdal Catak +2 more
doaj +1 more source
Editorial Correction to "A note on a generalization of Riordan's combinatorial identity via a hypergeometric series approach" [Notes on Number Theory and Discrete Mathematics, 2023, Volume 29, Number 3, Pages 421–425] [PDF]
Notes on Number Theory and Discrete MathematicsKunle Adegoke
doaj +2 more sources
A New Identity for Generalized Hypergeometric Functions and Applications
Axioms, 2019 We establish a new identity for generalized hypergeometric functions and apply it for first- and second-kind Gauss summation formulas to obtain some new summation formulas. The presented identity indeed extends some results of the recent published paper (
Mohammad Masjed-Jamei, Wolfram Koepf
doaj +1 more source
Identities for hypergeometric integrals of different dimensions [PDF]
Letters in Mathematical Physics, 2003 Given complex numbers $m_1,l_1$ and positive integers $m_2,l_2$, such that $m_1+m_2=l_1+l_2$, we define $l_2$-dimensional hypergeometric integrals $I_{a,b}(z;m_1,m_2,l_1,l_2)$, $a,b=0,...,\min(m_2,l_2)$, depending on a complex parameter $z$. We show that $I_{a,b}(z;m_1,m_2,l_1,l_2)=I_{a,b}(z;l_1,l_2,m_1,m_2)$, thus establishing an equality of $l_2$ and
V. Tarasov, Alexander Varchenko
openalex +5 more sources
Inequalities for some basic hypergeometric functions
Проблемы анализа, 2019 We establish conditions for the discrete versions of logarithmic concavity and convexity of the higher order regularized basic hypergeometric functions with respect to the simultaneous shift of all its parameters.
Kalmykov S. I., Karp D. B.
doaj +1 more source
Journal of High Energy Physics, 2023 We study Bailey pairs construction for hyperbolic hypergeometric integral identities acquired via the duality of lens partitions functions for the three-dimensional N $$ \mathcal{N} $$ = 2 supersymmetric gauge theories on S b 3 / ℤ r $$ {S}_b^3/{\mathbb ...
Ilmar Gahramanov +3 more
doaj +1 more source
Generalized hypergeometric identities with extra parameters
Filomat, 2020 Anew class of hypergeometric identities with extra parameters is introduced in order to generate various kinds of summation theorems for generalized hypergeometric series. Some interesting examples are also given in this direction.
Mohammad Masjed‐Jamei +1 more
openalex +4 more sources
Some applications of a hypergeometric identity [PDF]
Mathematical Sciences, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M.R. Eslahchi, Mohammad Masjed‐Jamei
openalex +3 more sources
q-hypergeometric double sums as mock theta functions [PDF]
, 2012 Recently, Bringmann and Kane established two new Bailey pairs and used them to relate certain q-hypergeometric series to real quadratic fields. We show how these pairs give rise to new mock theta functions in the form of q-hypergeometric double sums ...
Andrews +5 more
core +3 more sources