Powers of generalized Bessel and Struve functions
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Baricz [2] used a very old formula due to L. Euler to present an alternative derivation of the MacLaurin series expansion of powers of the modified Bessel function Iv(x) of the first kind of order v. Motivated essentially by this work and using the Euler's formula, we also present the MacLaurin series expansions of powers of the generalized Bessel functions aIv (x) of the rst kind and the Struve functions Hv (x) of order v.
Abstract
Baricz [2] used a very old formula due to L. Euler to present an alternative derivation of the MacLaurin series expansion of powers of the modified Bessel function Iv(x) of the first kind of order v. Motivated essentially by this work and using the Euler's formula, we also present the MacLaurin series expansions of powers of the generalized Bessel functions aIv (x) of the rst kind and the Struve functions Hv (x) of order v.
참고문헌 (13)
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