TY - JOUR
T1 - On the limiting structure of some central binomial evaluations
AU - Greene, John
PY - 2013
Y1 - 2013
N2 - We examine series of the form In each case, there is an evaluation of the form (pm(x)f(x)-qm(x))/x2m where f(x) is a transcendental function and pm(x) and qm(x) are polynomials with rational coefficients. We prove that for |x|<1, From this result, we derive recurrences for π and for various logarithms.
AB - We examine series of the form In each case, there is an evaluation of the form (pm(x)f(x)-qm(x))/x2m where f(x) is a transcendental function and pm(x) and qm(x) are polynomials with rational coefficients. We prove that for |x|<1, From this result, we derive recurrences for π and for various logarithms.
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U2 - 10.35834/mjms/1369746393
DO - 10.35834/mjms/1369746393
M3 - Article
AN - SCOPUS:84878427043
SN - 0899-6180
VL - 25
SP - 2
EP - 14
JO - Missouri Journal of Mathematical Sciences
JF - Missouri Journal of Mathematical Sciences
IS - 1
ER -