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math.CA2012
Some extensions of Ramanujan's 1-psi-1 summation formula
N. M. Vildanov
We have found several summation formulas that extend Ramanujan's psi sum. First contains a parameter , is a positive integer, and transforms to -beta integral in the…
math.CA2010★ 2 cited
Generalization of the Glasser - Manna - Oloa integral and some new integrals of similar type
Niyaz M. Vildanov
As was shown in the previous works by other authors, Glasser - Manna - Oloa integral arise in the study of the Laplace transform of the dilogarithm function and can be evaluated in…