Irrationality of quick convergent series
We generalize a previous result due to Badea relating to the irrationality of some quick convergent infinite series.
Linear independence of continued fractions
The main result of this paper is a criterion for linear independence of continued fractions over the rational numbers. The proof is based on their special properties.
Irrational rapidly convergent series
The Fourier method for the linear partial differential equations of the -th order
A use of the Laplace method in differential equations
A note to the rationality of infinite series. I
Something about Lindemann's theorem
A note to the Laplace transformation
The Laplace method of the linear partial differential equations of the -th order
A note on a paper of Oppenheim and Šalát concerning series of Cantor type
A note to the Fourier method of solving partial second-order differential equations
Rational and irrational series consisting of special denominators
Two proofs of transcendency of and
Transcendental sequences
Algebraically unrelated sequences
On the irrationality of factorial series
On the irrationality of polynomial Cantor series
Boundedly expressible sets
For a given sequence a boundedly expressible set is introduced. Three criteria concerning the Hausdorff dimension of such sets are proved.
A note to the transcendence of special infinite series
On reciprocal sums of terms of linear recurrences
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