and some other constants.
General properties involving reciprocals of binomial coefficients.
Derivatives of Catalan related sums.
Integrals and polygamma representations for binomial sums.
Shifted quadratic zeta series.
Summation of series via Laplace transforms.
We consider a forced differential difference equation and by the use of Laplace Transform Theory generate non-hypergeometric type series which we prove may be expressed in closed form.
Integrals of logarithmic and hypergeometric functions
Integrals of logarithmic and hypergeometric functions are intrinsically connected with Euler sums. In this paper we explore many relations and explicitly derive closed form representations of integrals of logarithmic, hypergeometric functions and the Lerch phi transcendent in terms of zeta functions and sums of alternating harmonic numbers.
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