Fuenmayor, Marleny; de Romero, Susana Salinas; Nishimoto, K. On functional relations of differintegrals involving trigonometric functions. (English) Zbl 1109.26003 Rev. Acad. Canar. Cienc. 16(2004), No. 1-2, 15-27 (2005). Reviewer: P. K. Banerji (Jodhpur) MSC: 26A33 33B10 PDFBibTeX XMLCite \textit{M. Fuenmayor} et al., Rev. Acad. Canar. Cienc. 16, No. 1--2, 15--27 (2005; Zbl 1109.26003)
Lin, Shy-Der; Ling, Wei-Chich; Nishimoto, Katsuyuki; Srivastava, H. M. A simple fractional-calculus approach to the solutions of the Bessel differential equation of general order and some of its applications. (English) Zbl 1088.34004 Comput. Math. Appl. 49, No. 9-10, 1487-1498 (2005). Reviewer: Ismail Taqi Ali (Safat) MSC: 34A25 34A30 26A33 PDFBibTeX XMLCite \textit{S.-D. Lin} et al., Comput. Math. Appl. 49, No. 9--10, 1487--1498 (2005; Zbl 1088.34004) Full Text: DOI
Nishimoto, Katsuyuki Presentations for \(\log q\) (\(2\leq q\in\mathbb Z^+\)) (continued). (English) Zbl 1092.26504 J. Fractional Calc. 25, 59-64 (2004). MSC: 26A33 33B10 PDFBibTeX XMLCite \textit{K. Nishimoto}, J. Fractional Calc. 25, 59--64 (2004; Zbl 1092.26504)
Nishimoto, Katsuyuki Multiply elements beta functions and \(N\)-fractional calculus of some power functions. (English) Zbl 1104.26010 J. Fractional Calc. 26, 73-79 (2004). MSC: 26A33 33B10 PDFBibTeX XMLCite \textit{K. Nishimoto}, J. Fractional Calc. 26, 73--79 (2004; Zbl 1104.26010)
Nishimoto, Katsuyuki Multiply elements beta functions and \(N\)-fractional calculus of some logarithmic functions. (English) Zbl 1104.26009 J. Fractional Calc. 26, 61-72 (2004). MSC: 26A33 33B10 PDFBibTeX XMLCite \textit{K. Nishimoto}, J. Fractional Calc. 26, 61--72 (2004; Zbl 1104.26009)
Nishimoto, Katsuyuki On some infinite sums (a serendipity in N-fractional calculus). (English) Zbl 1052.26004 J. Fractional Calc. 24, 13-21 (2003). MSC: 26A33 40A30 33B10 PDFBibTeX XMLCite \textit{K. Nishimoto}, J. Fractional Calc. 24, 13--21 (2003; Zbl 1052.26004)
Nishimoto, K.; de Romero, Susana S.; Fuenmayor, Marlenys; Prieto, Ana I. An extension of the theorem of de Moivre by means of \(N\)-fractional calculus and some identities. (English) Zbl 1042.33001 J. Fractional Calc. 23, 113-120 (2003). MSC: 33B10 26A33 PDFBibTeX XMLCite \textit{K. Nishimoto} et al., J. Fractional Calc. 23, 113--120 (2003; Zbl 1042.33001)
de Romero, Susana S.; Matera, Josefina; Nishimoto, Katsuyuki N-fractional calculus of some logarithmic functions. (English) Zbl 1060.33004 J. Fractional Calc. 23, 103-112 (2003). MSC: 33B10 26A33 PDFBibTeX XMLCite \textit{S. S. de Romero} et al., J. Fractional Calc. 23, 103--112 (2003; Zbl 1060.33004)
Nishimoto, K.; de Romero, Susana S.; Matera, Josefina N-fractional calculus of function \(\varphi=\log z - \frac1{2z} (z\neq 0)\). (English) Zbl 1060.33003 J. Fractional Calc. 23, 27-34 (2003). MSC: 33B10 26A33 PDFBibTeX XMLCite \textit{K. Nishimoto} et al., J. Fractional Calc. 23, 27--34 (2003; Zbl 1060.33003)
Nishimoto, Katsuyuki N-fractional calculus of the power and logarithmic functions and some identities (Continue). (English) Zbl 1129.26301 J. Fractional Calc. 22, 59-65 (2002). MSC: 26A33 33B10 33B30 45P05 47G10 PDFBibTeX XMLCite \textit{K. Nishimoto}, J. Fractional Calc. 22, 59--65 (2002; Zbl 1129.26301)
Fuenmayor, M.; de Romero, S. S.; Nishimoto, K. N-fractional calculus of some elementary functions. IV. (English) Zbl 1005.26003 J. Fractional Calc. 20, 99-111 (2001). MSC: 26A33 33B10 PDFBibTeX XMLCite \textit{M. Fuenmayor} et al., J. Fractional Calc. 20, 99--111 (2001; Zbl 1005.26003)
Wu, Tsu-Chen; Nishimoto, Katsuyuki \(N\)-fractional calculus of some trigonometric functions. (English) Zbl 0945.26011 J. Fractional Calc. 14, 83-94 (1998). Reviewer: R.K.Raina (Udaipur) MSC: 26A33 PDFBibTeX XMLCite \textit{T.-C. Wu} and \textit{K. Nishimoto}, J. Fractional Calc. 14, 83--94 (1998; Zbl 0945.26011)
Matera, J.; Nishimoto, K. \(N\)-fractional calculus of some elementary functions. II. (English) Zbl 0918.26007 J. Fractional Calc. 14, 23-31 (1998). MSC: 26A33 PDFBibTeX XMLCite \textit{J. Matera} and \textit{K. Nishimoto}, J. Fractional Calc. 14, 23--31 (1998; Zbl 0918.26007)
de Romero, Susana Salinas; Matera, Josefina; Nishimoto, Katsuyuki \(N\)-fractional calculus of some elementary functions. III. (English) Zbl 0918.26008 J. Fractional Calc. 13, 57-62 (1998). MSC: 26A33 PDFBibTeX XMLCite \textit{S. S. de Romero} et al., J. Fractional Calc. 13, 57--62 (1998; Zbl 0918.26008)
Matera, Josefina; Prieto, A. I.; de Romero, Susana Salinas; Nishimoto, Katsuyuki \(N\)-fractional calculus of some elementary functions. (English) Zbl 0918.26006 J. Fractional Calc. 12, 37-46 (1997). MSC: 26A33 PDFBibTeX XMLCite \textit{J. Matera} et al., J. Fractional Calc. 12, 37--46 (1997; Zbl 0918.26006)
Nishimoto, Katsuyuki; Yaguchi, Teruo Fractional calculus of some elementary functions of two variables. (English) Zbl 0764.26008 The 100th anniversary of Nihon University. Fractional calculus and its applications, Proc. Int. Conf., Tokyo/Jap. 1989, 149-158 (1990). Reviewer: Chaman Lal Koul (Jaipur) MSC: 26A33 33B10 PDFBibTeX XMLCite \textit{K. Nishimoto} and \textit{T. Yaguchi}, in: The 100th anniversary of Nihon University. Fractional calculus and its applications. Proceedings of the international conference, held at the Center of Nihon University, Tokyo, Japan, May 29-June 1, 1989. Koriyama (Japan): Nihon University, College of Engineering. 149--158 (1990; Zbl 0764.26008)
Nishimoto, Katsuyuki A fractional calculus exercise of elementary functions of a single variable. (English) Zbl 0743.33004 The 100th anniversary of Nihon University. Fractional calculus and its applications, Proc. Int. Conf., Tokyo/Jap. 1989, 123-138 (1990). Reviewer: A.A.Kilbas (Minsk) MSC: 33B10 30C45 PDFBibTeX XMLCite \textit{K. Nishimoto}, in: The 100th anniversary of Nihon University. Fractional calculus and its applications. Proceedings of the international conference, held at the Center of Nihon University, Tokyo, Japan, May 29-June 1, 1989. Koriyama (Japan): Nihon University, College of Engineering. 123--138 (1990; Zbl 0743.33004)
Nishimoto, Katsuyuki Nishimoto’s fractional calculus of elementary functions. (English) Zbl 0743.33003 The 100th anniversary of Nihon University. Fractional calculus and its applications, Proc. Int. Conf., Tokyo/Jap. 1989, 112-122 (1990). Reviewer: A.A.Kilbas (Minsk) MSC: 33B10 30C45 26A33 PDFBibTeX XMLCite \textit{K. Nishimoto}, in: The 100th anniversary of Nihon University. Fractional calculus and its applications. Proceedings of the international conference, held at the Center of Nihon University, Tokyo, Japan, May 29-June 1, 1989. Koriyama (Japan): Nihon University, College of Engineering. 112--122 (1990; Zbl 0743.33003)
Nishimoto, Katsuyuki Fractional calculus (Volume II). Integrations and differentiations of arbitrary order. (English) Zbl 0702.26011 Koriyama (Japan): Descartes Press Co. xiv, 189 p. (1987). Reviewer: K.Yoshinaga MSC: 26A33 34A05 PDFBibTeX XMLCite \textit{K. Nishimoto}, Fractional calculus (Volume II). Integrations and differentiations of arbitrary order. Koriyama (Japan): Descartes Press Co. (1987; Zbl 0702.26011)