Some properties of the Nesterenko differential sequence

K. CharalambousDepartment of Mathematics, University of Nicosia, P.O. Box 24005, 1700Nicosia, Cyprus. E-Mail [email protected]

P.G.L. LeachSchool of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001 Durban4000, Republic of South Africa;Institute of Systems Science and Department of Mathematics, Durban University of Technology, P.O. Box 1433, Durban4000, Republic of South Africa. E-Mail [email protected]

R. SinuvasanDepartment of Mathematics, SASTRA Deemed University, Thanjavur, India613401.Correspondence[email protected]

http://orcid.org/0000-0001-7891-3860

Abstract

We present some properties of a diﬀerential sequence prompted by a formula in a paper by Maryna Nesterenko (International Journal of Mathematics and Mathematical Sciences 2006 (2006), Article ID 17410) in terms of the symmetry, singularity and integrability properties of the elements of the sequence.

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Some properties of the Nesterenko differential sequence

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