Several recursive and closed-form formulas for some specific values of partial Bell polynomials
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Anahtar Kelimeler
Kaynakça
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- [4] I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series, and Products, Translated from the Russian, Translation edited and with a preface by Daniel Zwillinger and Victor Moll, Eighth edition, Revised from the seventh edition, Else- vier/Academic Press, Amsterdam, 2015; available online at https://doi.org/10.1016/B978-0-12-384933-5.00013-8.
- [5] B.-N. Guo, D. Lim, and F. Qi, Maclaurin's series expansions for positive integer powers of inverse (hyperbolic) sine and tangent functions, closed-form formula of specific partial Bell polynomials, and series representation of generalized logsine function, Appl. Anal. Discrete Math. 17 (2023), no. 1, in press; available online at https://doi.org/10.2298/ AADM210401017G.
- [6] B.-N. Guo, D. Lim, and F. Qi, Series expansions of powers of arcsine, closed forms for special values of Bell polynomials, and series representations of generalized logsine functions, AIMS Math. 6 (2021), no. 7, 7494-7517; available online at https://doi.org/10.3934/math.2021438.
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Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yazarlar
Wei-shih Du
0000-0001-8996-2270
Taiwan
Dongkyu Lım
0000-0002-0928-8480
South Korea
Feng Qi
*
0000-0001-6239-2968
China
Yayımlanma Tarihi
30 Aralık 2022
Gönderilme Tarihi
5 Eylül 2022
Kabul Tarihi
29 Eylül 2022
Yayımlandığı Sayı
Yıl 2022 Cilt: 6 Sayı: 4