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6 papers · 1 filter
An alternative proof of the extended Saalschutz summation theorem for the r+3Fr+2(1) series with applications
Y. S. Kim, Arjun K. Rathie, R. B. Paris
A simple proof of a new summation formula for a terminating r+3Fr+2(1) hypergeometric series, representing an extension of Saalschutz's formula for a 3F2(1) series, is given for t…
On magnetic reconnection and flux rope topology in solar flux emergence
David MacTaggart, Andrew Haynes
We present an analysis of the formation of atmospheric flux ropes in a magnetohydrodynamic (MHD) solar flux emergence simulation. The simulation domain ranges from the top of the s…
A note on a series containing the Laguerre polynomials
Y. S. Kim, A. K. Rathie, R. B. Paris
Expressions for the summation of a new series involving the Laguerre polynomials are obtained in terms of generalized hypergeometric functions. These results provide alternative, a…
On two Thomae-type transformations for hypergeometric series with integral parameter differences
Y. S. Kim, Arjun. K. Rathie, R. B. Paris
We obtain two new Thomae-type transformations for hypergeometric series with r pairs of numeratorial and denominatorial parameters differing by positive integers. This is achieved…
Non-symmetric magnetohydrostatic equilibria: a multigrid approach
David MacTaggart, Abdulaziz Elsheikh, James McLaughlin +1
Aims. Linear magnetohydrostatic (MHS) models of solar magnetic fields balance plasma pressure gradients, gravity and Lorentz forces where the current density is composed of a linea…
The 21cm Power Spectrum and the Shapes of Non-Gaussianity
Sirichai Chongchitnan
We consider how measurements of the 21cm radiation from the epoch of reionization (z=8-12) can constrain the amplitudes of various `shapes' of primordial non-Gaussianity. The limit…