Results 141 to 150 of about 12,448 (236)

Some hypergeometric transformations and reduction formulas for the Gauss function and their applications involving the Clausen function [PDF]

, 2021
H. C. Srivastava, Mohsin Qureshi, S. S. Malik, A Prudnikov, Yu Brychkov, O Marichev, T Ergashev, A Hasanov, H Srivastava, M Qureshi, S Dar, H Srivastava, M Qureshi, S Jabee, H Srivastava, M Qureshi, S Jabee, H Srivastava, M Shpot, H Srivastava, Y Vyas, K Fatawat   +21 more
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Convexity properties related to Gauss hypergeometric function

We investigate the convexity property on $(0,1)$ of the functions $φ_{a,b,c}$ and $1/φ_{a,b,c}$, where $$φ_{a,b,c}(x)= \frac{c-\log(1-x)}{\,_2F_1(a,b,a+b,x)},$$ whenever $a,b\geq 0$ and $a+b\leq 1$. We Show that $φ_{a,b,c}$ (respectively $1/φ_{a,b,c}$) is strictly convex on $(0,1)$ if and only if $c\leq -2γ-ψ(a)-ψ(b),$ (respectively $c\geqα_0$) and $φ_{
openaire   +2 more sources

Limit Laws for Sums of Logarithms of <i>k</i>-Spacings. [PDF]

Entropy (Basel)
Deheuvels P.
europepmc   +1 more source

Energy and Magnetic Moment of a Quantum Charged Particle in Time-Dependent Magnetic and Electric Fields of Circular and Plane Solenoids. [PDF]

Entropy (Basel), 2021
Dodonov VV, Horovits MB.
europepmc   +1 more source

Proofs of some conjectures on monotonicity of ratios of Kummer, Gauss\n and generalized hypergeometric functions [PDF]

, 2014
Khaled Mehrez, С. М. Ситник
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Certain fractional integral inequalities involving the Gauss hypergeometric function

Revista Técnica de la Facultad de Ingeniería
By making use of the fractional integral operators involving the Gauss hypergeometric function, we establish certain new fractional integral inequalities for synchronous functions which are related to the Chebyshev functional. Some consequent results and
S.D Purohit, R.K Raina
doaj  

The AGM of Gauss, Ramanujan's corresponding theory, and spectral bounds of self-adjoint operators. [PDF]

Mon Hefte Math
Faulhuber M, Gumber A, Shafkulovska I.
europepmc   +1 more source

Numerical Evaluation of the Gauss Hypergeometric Function with the hypergeo Package [PDF]

, 2015
Kazi Hassan Robin
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Exact Expressions for Kullback-Leibler Divergence for Multivariate and Matrix-Variate Distributions. [PDF]

Entropy (Basel)
Nawa V, Nadarajah S.
europepmc   +1 more source

Tutorial: Hong-Ou-Mandel interference with structured photons. [PDF]

Nanophotonics
Jaouni T, Gu X, Krenn M, D'Errico A, Karimi E.   +4 more
europepmc   +1 more source