RP Stanley in [S] observed that the series f (x)= C,“=,(c)'xn is transcendental over C (x) for
even t> 1 and stated that it is unknown for odd t> 1 whether or not it is transcendental. We …

THE TRANSCENDENCE OF CERTAIN INFINITE SERIES Page 1 ROCKY MOUNTAIN
JOURNAL OF MATHEMATICS Volume 35, Number 2, 2005 THE TRANSCENDENCE OF …

Mathematica Slovaca Page 1 Mathematica Slovaca Jaroslav Hančl; Pavel Rucki A note to the
transcendence of special infinite series Mathematica Slovaca, Vol. 56 (2006), No. 4, 409--414 …

Transcendence of Various Infinite Series Applications of Baker’s Theorem Page 1
Transcendence of Various Infinite Series and Applications of Baker’s Theorem by Chester Jay …

ON THE TRANSCENDENCE OF SOME INFINITE SERIES Page 1 Glasgow Math. J. 50 (2008)
33–37. C 2008 Glasgow Mathematical Journal Trust. doi:10.1017/S0017089507003989 …

The term" derived group" and the notation H'for the com-mutator subgroup of a group H
suggests an analogy-albeit tenuous-to the derivative of a function; and this in turn suggests …

1. Introduction. Let k and m be integers satisfying either of the sets of conditions, k= O or 1,
m> O, or kO 0, 1, and m>-1. Then the series oo (n+ k) n+ mxn n= O n! defines a function fkm …

For any integer Ν^ 1 the numbers D1= git**-b^ G. ibt-1) and D2= q (t" N-bkN) Σ (tkn-b"")'1 η^,
Ν are integers. For D1 this is obvious from our assumption on G^ bt'1). The number td—bd …

Some classes of numbers are given which make it possible to determine, from a given q-ary
expansion, their arithmetical order. One of these classes is defined by the fact that for each …