Some transcendence properties of integrals of Bessel functions

Volume 10, Issue 1, pp 316--324 http://dx.doi.org/10.22436/jnsa.010.01.30

Publication Date: January 27, 2017 Submission Date: October 05, 2016

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Authors

Gulsah Oner - Dokuz Eylul University, 35210 Izmir, Turkey. Mikhail V. Neschadim - Sobolev Institute of Mathematics and Novosibirsk State University, Novosibirsk, 630090, Russia. Tahsin Oner - Department of Mathematics, Ege University, 35100 Izmir, Turkey.

Abstract

We prove that some integrals of Bessel functions are transcendence over ring of Bessel functions with coefficients from the field of rational fractions of one variable.

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Keywords

• Independence
• differential algebra
• Bessel functions
• transcendence properties.

MSC

•  33C10

References

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