We prove an asymptotic formula for $F\left(1/4-it+ir,1/4-it-ir,1/2;x \right)$ as $r, t\to\infty$ and $α=r/t\to0.$ This special case of the Gauss hypergeometric function appears in the explicit formula for the first moment of Maass form symmetric-square ...
Frolenkov, Dmitry
core
Limit Laws for Sums of Logarithms of <i>k</i>-Spacings. [PDF]
Deheuvels P.
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The AGM of Gauss, Ramanujan's corresponding theory, and spectral bounds of self-adjoint operators. [PDF]
Faulhuber M, Gumber A, Shafkulovska I.
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Exact Expressions for Kullback-Leibler Divergence for Multivariate and Matrix-Variate Distributions. [PDF]
Nawa V, Nadarajah S.
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Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions. [PDF]
Qi F, Huang CJ.
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Asymptotics of a Gauss hypergeometric function related to moments of symmetric square L-functions I
We prove an asymptotic formula for a special case of the Gauss hypergeometric function which arises in explicit formulas for moments of Maass form symmetric square L-functions.
Balkanova, Olga
core
On the propagation across the big bounce in an open quantum FLRW cosmology. [PDF]
Battista E, Steinacker HC.
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A quadratic transformation for a special confluent Heun function. [PDF]
Ishkhanyan AM.
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Energy and Magnetic Moment of a Quantum Charged Particle in Time-Dependent Magnetic and Electric Fields of Circular and Plane Solenoids. [PDF]
Dodonov VV, Horovits MB.
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Asymmetric autocatalytic reactions and their stationary distribution. [PDF]
Gallinger C, Popovic L.
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