Results 31 to 40 of about 38,229 (306)
Mathematics, 2021 Integral inequalities for ℘-convex functions are established by using a generalised fractional integral operator based on Raina’s function. Hermite–Hadamard type inequality is presented for ℘-convex functions via generalised fractional integral operator.
Saima Rashid +3 more
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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
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Integral inequalities via harmonically h-convexity
Moroccan Journal of Pure and Applied Analysis, 2021 In this paper, we establish some estimates of the left side of the generalized Gauss-Jacobi quadrature formula for harmonic h-preinvex functions involving Euler’s beta and hypergeometric functions.
Merad Meriem +2 more
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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
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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
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On Warnaar's elliptic matrix inversion and Karlsson-Minton-type elliptic hypergeometric series [PDF]
, 2003 Using Krattenthaler's operator method, we give a new proof of Warnaar's recent elliptic extension of Krattenthaler's matrix inversion. Further, using a theta function identity closely related to Warnaar's inversion, we derive summation and transformation
Andrews +30 more
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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.
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Identities for Hypergeometric Integrals of Different Dimensions [PDF]
Letters in Mathematical Physics, 2005 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
Alexander Varchenko, Vitaly Tarasov
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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
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Summation identities and transformations for hypergeometric series [PDF]
Annales mathématiques du Québec, 2017 We find summation identities and transformations for the McCarthy's $p$-adic hypergeometric series by evaluating certain Gauss sums which appear while counting points on the family $$Z_ : x_1^d+x_2^d=d x_1x_2^{d-1}$$ over a finite field $\mathbb{F}_p$. A.
Barman, Rupam, Saikia, Neelam
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