Kaushik, Sonali; Hussain, Saddam; Kumar, Rajesh Laplace transform-based approximation methods for solving pure aggregation and breakage equations. (English) Zbl 07789837 Math. Methods Appl. Sci. 46, No. 16, 17402-17421 (2023). MSC: 45K05 45L05 65R20 41A58 44A10 35Q70 PDFBibTeX XMLCite \textit{S. Kaushik} et al., Math. Methods Appl. Sci. 46, No. 16, 17402--17421 (2023; Zbl 07789837) Full Text: DOI
Guerrero, Patricio; Bernardi, Matheus; Miqueles, Eduardo Alternative fan-beam backprojection and adjoint operators. (English) Zbl 07773434 J. Inverse Ill-Posed Probl. 31, No. 6, 921-935 (2023). MSC: 44A12 41A58 PDFBibTeX XMLCite \textit{P. Guerrero} et al., J. Inverse Ill-Posed Probl. 31, No. 6, 921--935 (2023; Zbl 07773434) Full Text: DOI arXiv
Sherman, Michelle; Kerr, Gilbert; González-Parra, Gilberto Analytical solutions of linear delay-differential equations with Dirac delta function inputs using the Laplace transform. (English) Zbl 07735384 Comput. Appl. Math. 42, No. 6, Paper No. 268, 14 p. (2023). MSC: 34K05 34K06 34K07 34K25 41A58 44A10 PDFBibTeX XMLCite \textit{M. Sherman} et al., Comput. Appl. Math. 42, No. 6, Paper No. 268, 14 p. (2023; Zbl 07735384) Full Text: DOI
Hıra, Fatma On \(q, \omega\)-differential transform method. (English) Zbl 1525.39013 J. Phys. A, Math. Theor. 56, No. 32, Article ID 325202, 18 p. (2023). Reviewer: Vitaliy Volchkov (Donetsk) MSC: 39A70 39A13 44A55 05A30 PDFBibTeX XMLCite \textit{F. Hıra}, J. Phys. A, Math. Theor. 56, No. 32, Article ID 325202, 18 p. (2023; Zbl 1525.39013) Full Text: DOI
Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester A convergent version of Watson’s lemma for double integrals. (English) Zbl 1521.44001 Integral Transforms Spec. Funct. 34, No. 3, 196-210 (2023). MSC: 44A10 41A60 41A58 33F99 PDFBibTeX XMLCite \textit{C. Ferreira} et al., Integral Transforms Spec. Funct. 34, No. 3, 196--210 (2023; Zbl 1521.44001) Full Text: DOI
Chaggara, H.; Boussorra, S. Operational rules and \(d\)-orthogonal polynomials of Laguerre type. (English) Zbl 07671547 Integral Transforms Spec. Funct. 34, No. 2, 145-161 (2023). MSC: 33C45 42C05 44A45 44A55 39A70 41A10 41A58 PDFBibTeX XMLCite \textit{H. Chaggara} and \textit{S. Boussorra}, Integral Transforms Spec. Funct. 34, No. 2, 145--161 (2023; Zbl 07671547) Full Text: DOI
Li, Yan-Fang; Lim, Dongkyu; Qi, Feng Closed-form formulas, determinantal expressions, recursive relations, power series, and special values of several functions used in Clark–Ismail’s two conjectures. arXiv:2310.12697 Preprint, arXiv:2310.12697 [math.CA] (2023). MSC: 33B10 15A15 26A24 26A48 26A51 33B15 44A10 41A58 BibTeX Cite \textit{Y.-F. Li} et al., ``Closed-form formulas, determinantal expressions, recursive relations, power series, and special values of several functions used in Clark--Ismail's two conjectures'', Preprint, arXiv:2310.12697 [math.CA] (2023) Full Text: DOI arXiv OA License
Luchko, Yuri Convolution series and the generalized convolution Taylor formula. (English) Zbl 1503.26012 Fract. Calc. Appl. Anal. 25, No. 1, 207-228 (2022). MSC: 26A33 41A58 44A35 PDFBibTeX XMLCite \textit{Y. Luchko}, Fract. Calc. Appl. Anal. 25, No. 1, 207--228 (2022; Zbl 1503.26012) Full Text: DOI arXiv
Al-Qudah, Alaa; Odibat, Zaid; Shawagfeh, Nabil An optimal homotopy analysis transform method for handling nonlinear PDEs. (English) Zbl 1505.65282 Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 260, 19 p. (2022). MSC: 65M99 44A10 41A58 65M12 34A34 35Q53 PDFBibTeX XMLCite \textit{A. Al-Qudah} et al., Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 260, 19 p. (2022; Zbl 1505.65282) Full Text: DOI
Formalev, V. F.; Garibyan, B. A.; Orekhov, A. A. Mathematical modeling of heat transfer in anisotropic half-space based on the generalized parabolic wave heat transfer equation. (English) Zbl 1502.80002 Lobachevskii J. Math. 43, No. 7, 1842-1849 (2022). MSC: 80-10 80A10 35L10 44A10 42B10 41A58 74F05 35R07 35Q79 PDFBibTeX XMLCite \textit{V. F. Formalev} et al., Lobachevskii J. Math. 43, No. 7, 1842--1849 (2022; Zbl 1502.80002) Full Text: DOI
Howard, Roy M. Arbitrarily accurate spline based approximations for the hyperbolic tangent function and applications. (English) Zbl 1513.41004 Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 215, 59 p. (2021). MSC: 41A15 26A09 26A48 26D07 33B10 41A58 44A10 PDFBibTeX XMLCite \textit{R. M. Howard}, Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 215, 59 p. (2021; Zbl 1513.41004) Full Text: DOI
Kuehn, Christian; Lux, Kerstin Uncertainty quantification of bifurcations in random ordinary differential equations. (English) Zbl 1484.34142 SIAM J. Appl. Dyn. Syst. 20, No. 4, 2295-2334 (2021). MSC: 34F10 34C23 60H35 41A58 44A15 34C45 PDFBibTeX XMLCite \textit{C. Kuehn} and \textit{K. Lux}, SIAM J. Appl. Dyn. Syst. 20, No. 4, 2295--2334 (2021; Zbl 1484.34142) Full Text: DOI arXiv
López, José L.; Palacios, Pablo; Pagola, Pedro J. Uniform convergent expansions of integral transforms. (English) Zbl 1469.41012 Math. Comput. 90, No. 329, 1357-1380 (2021). Reviewer: Neha Malik (New Delhi) MSC: 41A58 33F05 41A80 44A05 PDFBibTeX XMLCite \textit{J. L. López} et al., Math. Comput. 90, No. 329, 1357--1380 (2021; Zbl 1469.41012) Full Text: DOI
Wei, Yiheng; Liu, Da-Yan; Tse, Peter W.; Wang, Yong Discussion on the Leibniz rule and Laplace transform of fractional derivatives using series representation. (English) Zbl 1436.26008 Integral Transforms Spec. Funct. 31, No. 4, 304-322 (2020). Reviewer: Andrey Zahariev (Plovdiv) MSC: 26A33 30K05 44A10 65L05 PDFBibTeX XMLCite \textit{Y. Wei} et al., Integral Transforms Spec. Funct. 31, No. 4, 304--322 (2020; Zbl 1436.26008) Full Text: DOI arXiv
Benjemaa, Mondher Taylor’s formula involving generalized fractional derivatives. (English) Zbl 1427.26002 Appl. Math. Comput. 335, 182-195 (2018). MSC: 26A24 26A33 34A08 41A58 44A15 45K05 PDFBibTeX XMLCite \textit{M. Benjemaa}, Appl. Math. Comput. 335, 182--195 (2018; Zbl 1427.26002) Full Text: DOI arXiv
Al-Saar, Fawziah M.; Ghadle, Kirtiwant P. Combined Laplace transform with analytical methods for solving Volterra integral equations with a convolution kernel. (English) Zbl 1411.44001 J. Korean Soc. Ind. Appl. Math. 22, No. 2, 125-136 (2018). MSC: 44A10 41A58 65H20 65R20 PDFBibTeX XMLCite \textit{F. M. Al-Saar} and \textit{K. P. Ghadle}, J. Korean Soc. Ind. Appl. Math. 22, No. 2, 125--136 (2018; Zbl 1411.44001)
Lastra, Alberto; Malek, Stephane On parametric Gevrey asymptotics for initial value problems with infinite order irregular singularity and linear fractional transforms. (English) Zbl 1448.41027 Adv. Difference Equ. 2018, Paper No. 386, 40 p. (2018). MSC: 41A58 44A05 44A10 35R10 35C10 35C15 35C20 35R11 PDFBibTeX XMLCite \textit{A. Lastra} and \textit{S. Malek}, Adv. Difference Equ. 2018, Paper No. 386, 40 p. (2018; Zbl 1448.41027) Full Text: DOI arXiv
Kumar, Hemant On convergence properties and applications of two variable generalized Mittag-Leffler function. (English) Zbl 1391.33044 Jñānābha 47, No. 1, 125-138 (2017). MSC: 33E12 33C65 26A33 44A20 PDFBibTeX XMLCite \textit{H. Kumar}, Jñānābha 47, No. 1, 125--138 (2017; Zbl 1391.33044)
Fernández-Martínez, M.; Guirao, Juan L. G. Generalizing Taylor expansion series through succeeding initial value problems. (English) Zbl 1384.41023 Qual. Theory Dyn. Syst. 16, No. 1, 71-100 (2017). MSC: 41A58 26A06 26E10 44A10 PDFBibTeX XMLCite \textit{M. Fernández-Martínez} and \textit{J. L. G. Guirao}, Qual. Theory Dyn. Syst. 16, No. 1, 71--100 (2017; Zbl 1384.41023) Full Text: DOI
Ezzat, Magdy A.; Sabbah, A. S.; El-Bary, A. A.; Ezzat, S. M. Thermoelectric viscoelastic fluid with fractional integral and derivative heat transfer. (English) Zbl 1499.76012 Adv. Appl. Math. Mech. 7, No. 4, 528-548 (2015). MSC: 76A10 76W05 44A10 65R10 80A19 35K05 26A33 35R11 35Q35 PDFBibTeX XMLCite \textit{M. A. Ezzat} et al., Adv. Appl. Math. Mech. 7, No. 4, 528--548 (2015; Zbl 1499.76012) Full Text: DOI
Bengochea, Gabriel; Verde-Star, Luis An operational approach to the Emden-Fowler equation. (English) Zbl 1337.34014 Math. Methods Appl. Sci. 38, No. 18, 4630-4637 (2015). MSC: 34A25 44A40 34A34 41A58 PDFBibTeX XMLCite \textit{G. Bengochea} and \textit{L. Verde-Star}, Math. Methods Appl. Sci. 38, No. 18, 4630--4637 (2015; Zbl 1337.34014) Full Text: DOI
Katugampola, Udita N. A new approach to generalized fractional derivatives. (English) Zbl 1317.26008 Bull. Math. Anal. Appl. 6, No. 4, 1-15 (2014). MSC: 26A33 65R10 44A15 PDFBibTeX XMLCite \textit{U. N. Katugampola}, Bull. Math. Anal. Appl. 6, No. 4, 1--15 (2014; Zbl 1317.26008) Full Text: arXiv Link
Zayed, Ahmed I. Chromatic expansions in function spaces. (English) Zbl 1300.41019 Trans. Am. Math. Soc. 366, No. 8, 4097-4125 (2014). Reviewer: Elnaz Osgooei (Urmia) MSC: 41A58 42C15 44A15 PDFBibTeX XMLCite \textit{A. I. Zayed}, Trans. Am. Math. Soc. 366, No. 8, 4097--4125 (2014; Zbl 1300.41019) Full Text: DOI
Bober, William Introduction to numerical and analytical methods with MATLAB for engineers and scientists. (English) Zbl 1284.65001 Boca Raton, FL: CRC Press (ISBN 978-1-4665-7602-5/hbk; 978-1-4665-9704-4/ebook). xvii, 537 p. (2014). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65-01 00A06 65Z05 65Fxx 65Dxx 65Hxx 65Lxx 65Mxx 65Nxx 65R10 44A10 65K05 PDFBibTeX XMLCite \textit{W. Bober}, Introduction to numerical and analytical methods with MATLAB for engineers and scientists. Boca Raton, FL: CRC Press (2014; Zbl 1284.65001)
Panchal, S. K. Orthonormal series expansion and finite spherical Hankel transform of generalized functions. (English) Zbl 1369.46035 Malaya J. Mat. 1, No. 2, 77-82 (2013). MSC: 46F12 44A15 46F10 41A58 PDFBibTeX XMLCite \textit{S. K. Panchal}, Malaya J. Mat. 1, No. 2, 77--82 (2013; Zbl 1369.46035) Full Text: Link
Zayed, Ahmed I. Chromatic expansions in reproducing-kernel Hilbert spaces. (English) Zbl 1297.41014 Burenkov, V. I. (ed.) et al., Progress in analysis. Proceedings of the 8th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Moscow, Russia, August 22–27, 2011. Volume 1. Moscow: Peoples’ Friendship University of Russia (ISBN 978-5-209-04582-3/hbk). 346-355 (2012). MSC: 41A58 44A15 PDFBibTeX XMLCite \textit{A. I. Zayed}, in: Progress in analysis. Proceedings of the 8th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Moscow, Russia, August 22--27, 2011. Volume 1. Moscow: Peoples' Friendship University of Russia. 346--355 (2012; Zbl 1297.41014)
Nemes, Gergő New asymptotic expansion for the gamma function. (English) Zbl 1200.33005 Arch. Math. 95, No. 2, 161-169 (2010). Reviewer: Cristinel Mortici (Targoviste) MSC: 33B15 33F05 26D15 34E05 65D20 44A20 34K25 34M30 35C20 41A60 PDFBibTeX XMLCite \textit{G. Nemes}, Arch. Math. 95, No. 2, 161--169 (2010; Zbl 1200.33005) Full Text: DOI
Yakubovich, Semyon B. A class of polynomials and discrete transformations associated with the Kontorovich-Lebedev operators. (English) Zbl 1232.44006 Integral Transforms Spec. Funct. 20, No. 7-8, 551-567 (2009). MSC: 44A15 11B68 33C10 PDFBibTeX XMLCite \textit{S. B. Yakubovich}, Integral Transforms Spec. Funct. 20, No. 7--8, 551--567 (2009; Zbl 1232.44006) Full Text: DOI
Schröder, Michael On constructive complex analysis in finance: explicit formulas for Asian options. (English) Zbl 1160.91361 Q. Appl. Math. 66, No. 4, 633-658 (2008). MSC: 91G20 44A10 33C90 33F05 41A58 41A60 PDFBibTeX XMLCite \textit{M. Schröder}, Q. Appl. Math. 66, No. 4, 633--658 (2008; Zbl 1160.91361) Full Text: DOI Link
Zhang, Jun Sumudu transform based coefficients calculation. (English) Zbl 1177.65188 Nonlinear Stud. 15, No. 4, 355-372 (2008). MSC: 65R10 44A10 PDFBibTeX XMLCite \textit{J. Zhang}, Nonlinear Stud. 15, No. 4, 355--372 (2008; Zbl 1177.65188)
Sharpley, Robert C.; Vatchev, Vesselin Analysis of the intrinsic mode functions. (English) Zbl 1100.94006 Constructive Approximation 24, No. 1, 17-47 (2006). MSC: 94A12 44A15 41A58 34B24 93B30 PDFBibTeX XMLCite \textit{R. C. Sharpley} and \textit{V. Vatchev}, Constr. Approx. 24, No. 1, 17--47 (2006; Zbl 1100.94006) Full Text: DOI
Massouros, P. G.; Genin, G. M. Algebraic inversion of the Laplace transform. (English) Zbl 1084.65129 Comput. Math. Appl. 50, No. 1-2, 179-185 (2005). MSC: 65R10 44A10 PDFBibTeX XMLCite \textit{P. G. Massouros} and \textit{G. M. Genin}, Comput. Math. Appl. 50, No. 1--2, 179--185 (2005; Zbl 1084.65129) Full Text: DOI
Liu, Kuo-Chi; Lin, Chien-Nan; Wang, Jiun-Shen Numerical solutions for the hyperbolic heat conduction problems in a layered solid cylinder with radiation surface. (English) Zbl 1070.65103 Appl. Math. Comput. 164, No. 3, 805-820 (2005). MSC: 65M70 35L15 35A22 80A20 80M25 44A10 PDFBibTeX XMLCite \textit{K.-C. Liu} et al., Appl. Math. Comput. 164, No. 3, 805--820 (2005; Zbl 1070.65103) Full Text: DOI
Gasmi, A.; Sifi, M. The Bessel-Struve intertwining operator on \(\mathbb{C}\) and mean-periodic functions. (English) Zbl 1072.44003 Int. J. Math. Math. Sci. 2004, No. 57-60, 3171-3185 (2004). Reviewer: K. C. Gupta (Jaipur) MSC: 44A15 41A58 42A75 PDFBibTeX XMLCite \textit{A. Gasmi} and \textit{M. Sifi}, Int. J. Math. Math. Sci. 2004, No. 57--60, 3171--3185 (2004; Zbl 1072.44003) Full Text: DOI EuDML
Sedletskii, A. M. Analytic Fourier transforms and exponential approximations. I. (Russian) Zbl 1085.42005 Sovrem. Mat., Fundam. Napravl. 5, 3-152 (2003); translation in J. Math. Sci., New York 129, No. 6, 4251-4408 (2002). Reviewer: Yuri A. Brudnyi (Haifa) MSC: 42A38 42A65 42C30 41A58 44A10 PDFBibTeX XMLCite \textit{A. M. Sedletskii}, Sovrem. Mat., Fundam. Napravl. 5, 3--152 (2002; Zbl 1085.42005); translation in J. Math. Sci., New York 129, No. 6, 4251--4408 (2002) Full Text: DOI
Kythe, Prem K.; Puri, Pratap Computational methods for linear integral equations. (English) Zbl 1023.65134 Boston, MA: Birkhäuser. xviii, 508 p. EUR 120.56/net; sFr. 190.00 (2002). Reviewer: Hermann Brunner (St.John’s) MSC: 65R20 65-02 45D05 45Exx 44A10 65R10 45C05 45B05 PDFBibTeX XMLCite \textit{P. K. Kythe} and \textit{P. Puri}, Computational methods for linear integral equations. Boston, MA: Birkhäuser (2002; Zbl 1023.65134)
Euler, Russell Laplace transforms and Taylor series. (English) Zbl 0859.44003 Pi Mu Epsilon J. 10, No. 4, 305-307 (1996). Reviewer: L.Goras (Iaşi) MSC: 44A20 44A10 PDFBibTeX XMLCite \textit{R. Euler}, Pi Mu Epsilon J. 10, No. 4, 305--307 (1996; Zbl 0859.44003)
Zayed, Ahmed I. A generalized sampling theorem with the inverse of an arbitrary square summable sequence as sampling points. (English) Zbl 0888.41020 J. Fourier Anal. Appl. 2, No. 3, 303-314 (1996). MSC: 41A58 44A15 PDFBibTeX XMLCite \textit{A. I. Zayed}, J. Fourier Anal. Appl. 2, No. 3, 303--314 (1996; Zbl 0888.41020) Full Text: DOI EuDML
Schmeelk, John Hankel transforms in generalized Fock spaces. (English) Zbl 0811.46033 Int. J. Math. Math. Sci. 17, No. 2, 259-272 (1994). MSC: 46F12 46F05 44A15 PDFBibTeX XMLCite \textit{J. Schmeelk}, Int. J. Math. Math. Sci. 17, No. 2, 259--272 (1994; Zbl 0811.46033) Full Text: DOI EuDML
Duval-Destin, M.; Muschietti, M. A.; Torresani, B. Continuous wavelet decompositions, multiresolution, and contrast analysis. (English) Zbl 0770.41023 SIAM J. Math. Anal. 24, No. 3, 739-755 (1993). MSC: 41A58 42C40 44A05 44A35 PDFBibTeX XMLCite \textit{M. Duval-Destin} et al., SIAM J. Math. Anal. 24, No. 3, 739--755 (1993; Zbl 0770.41023) Full Text: DOI HAL
Mattner, L. Bernstein‘s theorem, inversion formula of Post and Widder, and the uniqueness theorem for Laplace transforms. (English) Zbl 0772.44002 Expo. Math. 11, No. 2, 137-140 (1993). Reviewer: Robert G.Buschman (Langlois) MSC: 44A10 60E10 PDFBibTeX XMLCite \textit{L. Mattner}, Expo. Math. 11, No. 2, 137--140 (1993; Zbl 0772.44002)
Reddy, B. P. On characterization of finite cosine Hankel transforms of distributions. (English) Zbl 0797.46035 J. Indian Acad. Math. 14, No. 2, 99-104 (1992). MSC: 46F12 44A15 41A58 PDFBibTeX XMLCite \textit{B. P. Reddy}, J. Indian Acad. Math. 14, No. 2, 99--104 (1992; Zbl 0797.46035)
Ziemian, Bogdan The Mellin transformation and multidimensional generalized Taylor expansions of singular functions. (English) Zbl 0713.46025 J. Fac. Sci., Univ. Tokyo, Sect. I A 36, No. 2, 263-295 (1989). Reviewer: H.J.Glaeske MSC: 46F12 44A15 46F15 PDFBibTeX XMLCite \textit{B. Ziemian}, J. Fac. Sci., Univ. Tokyo, Sect. I A 36, No. 2, 263--295 (1989; Zbl 0713.46025)
Razzaghi, Mohsen; Razzaghi, Mehdi Functional approximation for inversion of Laplace transforms via polynomial series. (English) Zbl 0684.65110 Int. J. Syst. Sci. 20, No. 7, 1131-1139 (1989). Reviewer: M.Z.Nashed MSC: 65R10 44A10 PDFBibTeX XMLCite \textit{M. Razzaghi} and \textit{M. Razzaghi}, Int. J. Syst. Sci. 20, No. 7, 1131--1139 (1989; Zbl 0684.65110) Full Text: DOI
Haidar, Nassar H. S. Approximate double series solution to certain Fredholm integral equations of the first kind. (English) Zbl 0683.65113 J. Math. Anal. Appl. 143, No. 1, 264-289 (1989). Reviewer: E.Deeba MSC: 65R20 65R10 45B05 44A10 PDFBibTeX XMLCite \textit{N. H. S. Haidar}, J. Math. Anal. Appl. 143, No. 1, 264--289 (1989; Zbl 0683.65113) Full Text: DOI
Razzaghi, Mohsen; Arabshahi, Abdollah Solution of linear two-point boundary-value problems via polynomial series. (English) Zbl 0674.34015 Int. J. Syst. Sci. 20, No. 3, 375-384 (1989). MSC: 34B05 41A52 44A45 34A30 PDFBibTeX XMLCite \textit{M. Razzaghi} and \textit{A. Arabshahi}, Int. J. Syst. Sci. 20, No. 3, 375--384 (1989; Zbl 0674.34015) Full Text: DOI
Chung, Hung-Yuan; Sun, York-Yih Analysis and parameter estimation of nonlinear systems with Hammerstein model using Taylor series approach. (English) Zbl 0662.93032 IEEE Trans. Circuits Syst. 35, No. 12, 1539-1541 (1988). MSC: 93C10 41A58 93B30 44A45 93C15 93B40 PDFBibTeX XMLCite \textit{H.-Y. Chung} and \textit{Y.-Y. Sun}, IEEE Trans. Circuits Syst. 35, No. 12, 1539--1541 (1988; Zbl 0662.93032) Full Text: DOI Link
Garbow, B. S.; Giunta, G.; Lyness, J. N.; Murli, A. Software for an implementation of Week’s method for the inverse Laplace transform problem. (English) Zbl 0642.65086 ACM Trans. Math. Softw. 14, No. 2, 163-170 (1988). MSC: 65R10 65D25 44A10 PDFBibTeX XMLCite \textit{B. S. Garbow} et al., ACM Trans. Math. Softw. 14, No. 2, 163--170 (1988; Zbl 0642.65086) Full Text: DOI Link
Yang, Ching-Yu; Chen, Cha’o-Kuang Analysis and optimal control of time-varying systems via polynomial series. (English) Zbl 0636.93054 Int. J. Syst. Sci. 19, No. 2, 289-310 (1988). MSC: 93C99 41A58 93C05 44A45 PDFBibTeX XMLCite \textit{C.-Y. Yang} and \textit{C.-K. Chen}, Int. J. Syst. Sci. 19, No. 2, 289--310 (1988; Zbl 0636.93054) Full Text: DOI
Yang, Ching-Yu; Chen, Cha’o-Kuang Analysis of bilinear systems via polynomial series. (English) Zbl 0636.93041 Int. J. Syst. Sci. 19, No. 2, 275-288 (1988). MSC: 93C10 41A58 44A45 PDFBibTeX XMLCite \textit{C.-Y. Yang} and \textit{C.-K. Chen}, Int. J. Syst. Sci. 19, No. 2, 275--288 (1988; Zbl 0636.93041) Full Text: DOI
Razzaghi, Mohsen; Razzaghi, Mehdi Taylor series direct method for variational problems. (English) Zbl 0627.49017 J. Franklin Inst. 325, No. 1, 125-131 (1988). MSC: 49M15 41A58 44A45 49K15 PDFBibTeX XMLCite \textit{M. Razzaghi} and \textit{M. Razzaghi}, J. Franklin Inst. 325, No. 1, 125--131 (1988; Zbl 0627.49017) Full Text: DOI
Al-Bassam, M. A. On generalized power series and generalized operational calculus and its application. (English) Zbl 0695.44004 Nonlinear analysis, 51-88 (1987). Reviewer: P.Renno MSC: 44A40 34A25 26A33 PDFBibTeX XML
Chung, Hung-Yuan; Sun, York-Yih Analysis and parameter estimation of bilinear systems using Taylor operational matrices. (English) Zbl 0635.93022 IEEE Trans. Syst. Man Cybern. 17, 1068-1071 (1987). MSC: 93B30 41A58 93C10 44A45 PDFBibTeX XMLCite \textit{H.-Y. Chung} and \textit{Y.-Y. Sun}, IEEE Trans. Syst. Man Cybern. 17, 1068--1071 (1987; Zbl 0635.93022) Full Text: DOI
Chen, Chieh-Li; Yang, Ching-Yu; Chen, Cha’o-Kuang Analysis and parameter identification of scaled systems via polynomial series. (English) Zbl 0628.93036 Int. J. Syst. Sci. 18, 2383-2394 (1987). MSC: 93C30 41A58 93B30 44A45 PDFBibTeX XMLCite \textit{C.-L. Chen} et al., Int. J. Syst. Sci. 18, 2383--2394 (1987; Zbl 0628.93036) Full Text: DOI
Chang, Rong-Yeu; Yang, Shwu-Yien; Wang, Maw-Ling Solution of a scaled system via generalized orthogonal polynomials. (English) Zbl 0628.93035 Int. J. Syst. Sci. 18, 2369-2382 (1987). MSC: 93C30 42C10 44A45 33C45 93B40 PDFBibTeX XMLCite \textit{R.-Y. Chang} et al., Int. J. Syst. Sci. 18, 2369--2382 (1987; Zbl 0628.93035) Full Text: DOI
Chung, Hung-Yuan; Sun, York-Yih Analysis of time-delay systems using an alternative technique. (English) Zbl 0626.93025 Int. J. Control 46, 1621-1631 (1987). MSC: 93C05 34K35 41A58 44A45 PDFBibTeX XMLCite \textit{H.-Y. Chung} and \textit{Y.-Y. Sun}, Int. J. Control 46, 1621--1631 (1987; Zbl 0626.93025) Full Text: DOI
Chung, Hung-Yuan; Sun, York-Yih Taylor series analysis of multi-delay systems. (English) Zbl 0624.93033 J. Franklin Inst. 324, 65-72 (1987). MSC: 93C30 34K35 41A58 44A45 93C05 PDFBibTeX XMLCite \textit{H.-Y. Chung} and \textit{Y.-Y. Sun}, J. Franklin Inst. 324, 65--72 (1987; Zbl 0624.93033) Full Text: DOI
Sparis, Panagiotis D.; Mouroutsos, Spyridon G. Output sensitivity analysis of time-varying linear systems using polynomial series. (English) Zbl 0624.93022 J. Franklin Inst. 324, 173-185 (1987). MSC: 93B35 41A58 44A45 93C05 PDFBibTeX XMLCite \textit{P. D. Sparis} and \textit{S. G. Mouroutsos}, J. Franklin Inst. 324, 173--185 (1987; Zbl 0624.93022) Full Text: DOI
Lee, Tsu-Tian; Tsay, Shuh-Chuan Analysis of linear time-varying systems and bilinear systems via Taylor series. (English) Zbl 0622.93037 Int. J. Syst. Sci. 18, 1569-1578 (1987). MSC: 93C99 41A58 44A45 93C05 93C10 PDFBibTeX XMLCite \textit{T.-T. Lee} and \textit{S.-C. Tsay}, Int. J. Syst. Sci. 18, 1569--1578 (1987; Zbl 0622.93037) Full Text: DOI
Yang, Ching-Yu; Chen, Cha’o-Kuang Analysis and parameter identification of time-delay systems via Taylor series. (English) Zbl 0616.93037 Int. J. Syst. Sci. 18, 1347-1353 (1987). MSC: 93C05 34K35 41A58 44A45 93B30 PDFBibTeX XMLCite \textit{C.-Y. Yang} and \textit{C.-K. Chen}, Int. J. Syst. Sci. 18, 1347--1353 (1987; Zbl 0616.93037) Full Text: DOI
Chen, Cha’o-Kuang; Yang, Ching-Yu Analysis and parameter identification of time-delay systems via polynomial series. (English) Zbl 0615.93032 Int. J. Control 46, 111-127 (1987). MSC: 93C05 34K35 93B30 41A58 44A45 PDFBibTeX XMLCite \textit{C.-K. Chen} and \textit{C.-Y. Yang}, Int. J. Control 46, 111--127 (1987; Zbl 0615.93032) Full Text: DOI
Yang, Li-Farn; Chen, Cha’o-Kuang Analysis of bilinear systems via Taylor series. (English) Zbl 0609.93034 Int. J. Syst. Sci. 18, 641-648 (1987). MSC: 93C10 41A58 44A45 93C15 PDFBibTeX XMLCite \textit{L.-F. Yang} and \textit{C.-K. Chen}, Int. J. Syst. Sci. 18, 641--648 (1987; Zbl 0609.93034) Full Text: DOI
Sparis, P. D. Application of the operational matrix of differentiation for the identification of time-varying linear systems using polynomial series. (English) Zbl 0608.93020 IEE Proc., Part D 134, 180-186 (1987). MSC: 93B30 93C05 41A58 44A45 93B40 PDFBibTeX XMLCite \textit{P. D. Sparis}, IEE Proc., Part D 134, 180--186 (1987; Zbl 0608.93020) Full Text: DOI
Perng, Ming-Hwei An effective approach to the optimal-control problem for time-varying linear systems via Taylor series. (English) Zbl 0595.93041 Int. J. Control 44, 1225-1231 (1986). MSC: 93C99 41A58 93C05 44A45 PDFBibTeX XMLCite \textit{M.-H. Perng}, Int. J. Control 44, 1225--1231 (1986; Zbl 0595.93041) Full Text: DOI
Horng, Ing-Rong; Chou, Jyh-Horng; Tsai, Rong-Yuh Taylor series analysis of linear optimal control systems incorporating observers. (English) Zbl 0595.93025 Int. J. Control 44, 1265-1272 (1986). MSC: 93C05 41A58 93B40 44A45 93C99 PDFBibTeX XMLCite \textit{I.-R. Horng} et al., Int. J. Control 44, 1265--1272 (1986; Zbl 0595.93025) Full Text: DOI
Sparis, Panagiotis D.; Mouroutsos, Spyridon G. The operational matrix of differentiation for orthogonal polynomial series. (English) Zbl 0595.44007 Int. J. Control 44, 1-15 (1986). MSC: 44A45 65L05 34A25 PDFBibTeX XMLCite \textit{P. D. Sparis} and \textit{S. G. Mouroutsos}, Int. J. Control 44, 1--15 (1986; Zbl 0595.44007) Full Text: DOI
Berg, Lothar General operational calculus. (English) Zbl 0562.44006 Linear Algebra Appl. 84, 79-97 (1986). MSC: 44A40 34A25 47C05 65J05 65T40 PDFBibTeX XMLCite \textit{L. Berg}, Linear Algebra Appl. 84, 79--97 (1986; Zbl 0562.44006) Full Text: DOI
Fliess, Michel; Lamnabhi-Lagarrigue, Françoise Functional expansions in nonlinear system theory. (English) Zbl 0599.93022 Geometric theory of nonlinear control systems, Int. Conf. Bierutowice/Pol. 1984, Pr. Nauk. Politech. Wrocław., Inst. Tech. Cybern. 70, Conf. 29, 47-82 (1985). Reviewer: K.Tchon MSC: 93C10 16W60 41A58 44A10 45G10 93C15 93-02 PDFBibTeX XML
Grosjean, C. C.; Goovaerts, M. J. On the series expansion of certain types of integral transforms. I. (English) Zbl 0564.44005 J. Comput. Appl. Math. 12/13, 277-298 (1985). MSC: 44A15 41A58 42A38 41A60 PDFBibTeX XMLCite \textit{C. C. Grosjean} and \textit{M. J. Goovaerts}, J. Comput. Appl. Math. 12/13, 277--298 (1985; Zbl 0564.44005) Full Text: DOI
Mouroutsos, S. G.; Sparis, P. D. Taylor series approach to system identification, analysis and optimal control. (English) Zbl 0561.93018 J. Franklin Inst. 319, 359-371 (1985). MSC: 93B30 41A58 44A45 93C05 93B40 PDFBibTeX XMLCite \textit{S. G. Mouroutsos} and \textit{P. D. Sparis}, J. Franklin Inst. 319, 359--371 (1985; Zbl 0561.93018) Full Text: DOI
Sparis, P. D.; Mouroutsos, S. G. Analysis and optimal control of time-varying linear systems via Taylor series. (English) Zbl 0559.93049 Int. J. Control 41, 831-842 (1985). MSC: 93C99 41A58 93C05 44A45 PDFBibTeX XMLCite \textit{P. D. Sparis} and \textit{S. G. Mouroutsos}, Int. J. Control 41, 831--842 (1985; Zbl 0559.93049) Full Text: DOI
Louis, Alfred K. Orthogonal function series expansions and the null space of the Radon transform. (English) Zbl 0533.42018 SIAM J. Math. Anal. 15, 621-633 (1984). Reviewer: K.Saka MSC: 42C10 44A15 41A58 33C55 33C45 PDFBibTeX XMLCite \textit{A. K. Louis}, SIAM J. Math. Anal. 15, 621--633 (1984; Zbl 0533.42018) Full Text: DOI
Pukhov, G. E. Differential transformations of functions and equations. (Differentsial’nye preobrazovaniya funktsij i uravnenij). 2nd ed. (Russian) Zbl 0528.44005 Akademiya Nauk Ukrainskoj SSR. Institut Problem Modelirovaniya v Ehnergetike. Kiev: Naukova Dumka. 420 p. R. 4.00 (1984). MSC: 44A55 34A25 35A22 00A06 30B10 44-01 49J15 51N20 PDFBibTeX XML
Agal, S. N.; Koul, C. L. Weyl fractional calculus and Laplace transform. (English) Zbl 0578.44003 Proc. Indian Acad. Sci., Math. Sci. 92, 167-170 (1983). Reviewer: S.D.Bajpai MSC: 44A20 44A10 26A33 PDFBibTeX XMLCite \textit{S. N. Agal} and \textit{C. L. Koul}, Proc. Indian Acad. Sci., Math. Sci. 92, 167--170 (1983; Zbl 0578.44003) Full Text: DOI
Gilbert, Elmer G. Minimal-order realizations for continuous-time two-power input-output maps. (English) Zbl 0525.93013 IEEE Trans. Autom. Control 28, 452-464 (1983). MSC: 93B15 41A58 93C10 45D05 44A10 93B20 PDFBibTeX XMLCite \textit{E. G. Gilbert}, IEEE Trans. Autom. Control 28, 452--464 (1983; Zbl 0525.93013) Full Text: DOI
Zoernig, Pavel On difference equations and discrete systems. (English) Zbl 0519.93050 Kybernetika 19, 225-236 (1983). MSC: 93C55 39A10 93C10 41A58 44A55 40A05 PDFBibTeX XMLCite \textit{P. Zoernig}, Kybernetika 19, 225--236 (1983; Zbl 0519.93050) Full Text: EuDML
Ku, Y. H. Theory of nonlinear systems. (English) Zbl 0514.93038 J. Franklin Inst. 315, 1-26 (1983). MSC: 93C10 41A58 34A34 93B30 93E12 34A45 44A15 45D05 93C15 94C05 PDFBibTeX XMLCite \textit{Y. H. Ku}, J. Franklin Inst. 315, 1--26 (1983; Zbl 0514.93038) Full Text: DOI Link
Amerbaev, V. M.; Utembaev, N. A. Numerical analysis of the Laguerre spectrum. (Численный анализ лагерровского спектра.) (Russian) Zbl 0554.65092 Alma-Ata: “Nauka” Kazakh. SSR. 188 p. R. 2.00 (1982). Reviewer: Gh. Adam (MR 85d:65002) MSC: 65R10 65-02 44A10 44A15 42A38 PDFBibTeX XML
Ehrgashev, A. The E-transform and its applications. (Russian) Zbl 0544.65003 Vopr. Vychisl. Prikl. Mat. 67, 133-142 (1982). Reviewer: S.Hitotumatu MSC: 65B10 65R10 40B05 44A35 40C15 PDFBibTeX XMLCite \textit{A. Ehrgashev}, Vopr. Vychisl. Prikl. Mat. 67, 133--142 (1982; Zbl 0544.65003)
Krebs, Jerome Scattering by slightly nonspherical particles in the high frequency limit. I. Impenetrable particles. (English) Zbl 0504.35071 J. Math. Phys. 23, 2494-2501 (1982). MSC: 35P25 81Q15 81U20 44A15 35C10 41A58 PDFBibTeX XMLCite \textit{J. Krebs}, J. Math. Phys. 23, 2494--2501 (1982; Zbl 0504.35071) Full Text: DOI
Lamnabhi, M. A new symbolic calculus for the response of nonlinear systems. (English) Zbl 0499.93029 Syst. Control Lett. 2, 154-162 (1982). MSC: 93C10 16W60 41A58 44A10 PDFBibTeX XMLCite \textit{M. Lamnabhi}, Syst. Control Lett. 2, 154--162 (1982; Zbl 0499.93029) Full Text: DOI
Fakhouri, S. Y.; Mylroi, M. G. Identification and realisation of multi-dimensional kernels. (English) Zbl 0511.93066 Control theory, Proc. 3rd IMA Conf., Sheffield 1980, 66-88 (1981). MSC: 93E12 93B50 93C10 41A58 44A15 62M10 93B17 PDFBibTeX XML
Rusev, P. A necessary and sufficient condition for an analytic function to be represented by a series in Laguerre functions of second kind. (Russian) Zbl 0491.30004 God. Sofij. Univ., Fak. Mat. Mekh. 70 (1975/76), 133-140 (1981). MSC: 30B50 33C45 44A10 41A58 PDFBibTeX XMLCite \textit{P. Rusev}, God. Sofiĭ. Univ., Fak. Mat. Mekh. 70, 133--140 (1981; Zbl 0491.30004)
Zayed, Ahmed I. On Laguerre series expansions of entire functions. (English) Zbl 0478.30016 Tamkang J. Math. 12, 39-45 (1981). MSC: 30D10 30B50 44A15 33C45 30D20 PDFBibTeX XMLCite \textit{A. I. Zayed}, Tamkang J. Math. 12, 39--45 (1981; Zbl 0478.30016)
Itou, S. Transient response of a finite crack in a half plane under impact load. (English) Zbl 0463.73112 J. Appl. Mech. 48, 534-538 (1981). MSC: 74R05 74G70 41A58 44A10 42B20 PDFBibTeX XMLCite \textit{S. Itou}, J. Appl. Mech. 48, 534--538 (1981; Zbl 0463.73112) Full Text: DOI
Frazho, Arthur E. A shift operator approach to bilinear system theory. (English) Zbl 0517.93013 SIAM J. Control Optimization 18, 640-658 (1980). MSC: 93B15 93C10 93B17 41A58 44A15 93B20 93B05 93C55 93B07 PDFBibTeX XMLCite \textit{A. E. Frazho}, SIAM J. Control Optim. 18, 640--658 (1980; Zbl 0517.93013) Full Text: DOI
Puro, A. Application of Bromwich’s expansion on a twisting problem of a multi- layered medium. (Russian) Zbl 0476.73013 Izv. Akad. Nauk Ehst. SSR, Fiz., Mat. 29, 429-431 (1980). MSC: 74E05 41A58 44A15 PDFBibTeX XMLCite \textit{A. Puro}, Izv. Akad. Nauk Èst. SSR, Fiz., Mat. 29, 429--431 (1980; Zbl 0476.73013)
Narimov, Sh. Nonstationary oscillations of a two-componentical half-space. (Russian) Zbl 0473.73031 Dokl. Akad. Nauk UzSSR 1980, No. 4, 23-28 (1980). MSC: 74H45 74E05 44A15 41A58 PDFBibTeX XMLCite \textit{Sh. Narimov}, Dokl. Akad. Nauk UzSSR 1980, No. 4, 23--28 (1980; Zbl 0473.73031)
Pukhov, G. E. Differential transformations of functions and equations. (Differentsial’nye preobrazovaniya funktsij i uravnenij). (Russian) Zbl 0453.44006 Akademiya Nauk Ukrainskoj SSR, Institut Ehlektrodinamiki. Kiev: ”Naukova Dumka”. 420 p. R. 4.00 (1980). MSC: 44A55 44-01 34A25 35A22 30B10 51N20 00A06 49J15 PDFBibTeX XML
Poberezhnyj, O. V.; Pyanylo, Ya. D. About error estimation and convergence conditions of the approximate inversion of Laplace transformation by means of orthogonal polynomials. (Russian) Zbl 0439.65106 Mat. Metody Fiz.-Mekh. Polya 12, 91-94 (1980). MSC: 65R10 44A10 33C45 41A58 PDFBibTeX XMLCite \textit{O. V. Poberezhnyj} and \textit{Ya. D. Pyanylo}, Mat. Metody Fiz.-Mekh. Polya 12, 91--94 (1980; Zbl 0439.65106)
Przeworska-Rolewicz, Danuta Introduction to algebraic analysis and its applications. (Wstep do analizy algebraicznej i jej zastosowan). (Polish) Zbl 0451.44004 Warszawa: Wydawnictwa Naukowo-Techniczne 244 p. Zl. 25.00 (1979). MSC: 44A45 34A25 44-02 15A06 35A99 47A50 47A60 35L05 34K05 PDFBibTeX XML
Bittner, R.; Smentek, Z. Taylor’s formula for many derivatives. Integrals. (English) Zbl 0428.44003 Demonstr. Math. 12, 565-580 (1979). MSC: 44A45 34A25 47A62 PDFBibTeX XMLCite \textit{R. Bittner} and \textit{Z. Smentek}, Demonstr. Math. 12, 565--580 (1979; Zbl 0428.44003) Full Text: DOI
Poberezhnyj, O. V.; Pyanylo, Ya. D. Über die Anwendung der numerischen Inversion der Laplacetransformation auf instationäre Probleme der Thermoelastizität für Körper mit Rissen. (Russian) Zbl 0447.73018 Mat. Metody Fiz.-Mekh. Polya 8, 45-48 (1978). MSC: 74F05 74A15 65R10 41A58 44A10 74R05 74G70 PDFBibTeX XMLCite \textit{O. V. Poberezhnyj} and \textit{Ya. D. Pyanylo}, Mat. Metody Fiz.-Mekh. Polya 8, 45--48 (1978; Zbl 0447.73018)
Maslov, V. P. Operational methods. Transl. from the Russian by V. Golo, N. Kulman and G. Voropaeva. (English) Zbl 0449.47002 Moscow: Mir Publishers. 559 p. R. 3.35 (1976). MSC: 47-02 44A40 46F10 58J40 35C99 35A22 46E35 47B25 PDFBibTeX XML
Thuillier, P.; Belloc, J.-C. Mathématiques. Analyse 3: Series intégrale de Laplace. (French) Zbl 0385.41022 Paris: Masson et Cie, Editeurs. 151 p. F 48.00 (1975). MSC: 41A58 44A10 41-01 PDFBibTeX XML