Zaghloul, Mofreh R. Efficient multiple-precision computation of the scaled complementary error function and the Dawson integral. (English) Zbl 07807002 Numer. Algorithms 95, No. 3, 1291-1308 (2024). MSC: 65D15 65D20 PDFBibTeX XMLCite \textit{M. R. Zaghloul}, Numer. Algorithms 95, No. 3, 1291--1308 (2024; Zbl 07807002) Full Text: DOI OA License
Nadarajah, Saralees; Chan, Stephen On moments of the noncentral chi distribution. (English) Zbl 07730322 Sankhyā, Ser. A 85, No. 1, 803-807 (2023). MSC: 62E99 PDFBibTeX XMLCite \textit{S. Nadarajah} and \textit{S. Chan}, Sankhyā, Ser. A 85, No. 1, 803--807 (2023; Zbl 07730322) Full Text: DOI
Baricz, Árpád; Bisht, Nitin; Singh, Sanjeev; Vijesh, V. Antony Bounds for the generalized Marcum function of the second kind. (English) Zbl 1509.33023 Ramanujan J. 58, No. 1, 1-21 (2022). MSC: 33E20 26A48 33C10 94A05 94A13 PDFBibTeX XMLCite \textit{Á. Baricz} et al., Ramanujan J. 58, No. 1, 1--21 (2022; Zbl 1509.33023) Full Text: DOI
Gil, Amparo; Segura, Javier; Temme, Nico M. GammaCHI: a package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral). New version announcement. (English) Zbl 07695827 Comput. Phys. Commun. 267, Article ID 108083, 2 p. (2021). MSC: 82-XX 94-XX PDFBibTeX XMLCite \textit{A. Gil} et al., Comput. Phys. Commun. 267, Article ID 108083, 2 p. (2021; Zbl 07695827) Full Text: DOI
Al Azah, Mohammad; Chandler-Wilde, Simon N. Computation of the complex error function using modified trapezoidal rules. (English) Zbl 1476.65027 SIAM J. Numer. Anal. 59, No. 5, 2346-2367 (2021). MSC: 65D20 65D30 30D10 30E20 PDFBibTeX XMLCite \textit{M. Al Azah} and \textit{S. N. Chandler-Wilde}, SIAM J. Numer. Anal. 59, No. 5, 2346--2367 (2021; Zbl 1476.65027) Full Text: DOI arXiv
Baricz, Árpád; Bisht, Nitin; Singh, Sanjeev; Vijesh, V. Antony Functional inequalities and bounds for the generalized Marcum function of the second kind. (English) Zbl 1478.33012 Result. Math. 76, No. 1, Paper No. 35, 29 p. (2021). MSC: 33E20 26A48 33C10 94A05 94A13 PDFBibTeX XMLCite \textit{Á. Baricz} et al., Result. Math. 76, No. 1, Paper No. 35, 29 p. (2021; Zbl 1478.33012) Full Text: DOI
Kazemi, Seyed-Mohammad-Mahdi; Dehghan, Mehdi; Foroush Bastani, Ali On a new family of radial basis functions: mathematical analysis and applications to option pricing. (English) Zbl 1372.65283 J. Comput. Appl. Math. 328, 75-100 (2018). MSC: 65M70 91G60 91G20 PDFBibTeX XMLCite \textit{S.-M.-M. Kazemi} et al., J. Comput. Appl. Math. 328, 75--100 (2018; Zbl 1372.65283) Full Text: DOI
Moslehi, Leila; Ansari, Alireza Addition formula for complementary error function with associated integral representations. (English) Zbl 1474.33016 Mat. Vesn. 68, No. 4, 287-297 (2016). MSC: 33B20 PDFBibTeX XMLCite \textit{L. Moslehi} and \textit{A. Ansari}, Mat. Vesn. 68, No. 4, 287--297 (2016; Zbl 1474.33016) Full Text: EMIS
Arora, Shelly; Kukreja, Vijay Kumar; Potůček, František Analytic solution of biparameter axial dispersion model. (English) Zbl 1329.76347 Commun. Appl. Ind. Math. 5, Article ID 458, 11 p. (2014). MSC: 76S99 35Q35 PDFBibTeX XMLCite \textit{S. Arora} et al., Commun. Appl. Ind. Math. 5, Article ID 458, 11 p. (2014; Zbl 1329.76347)
Tran, Thanh T.; Yee, Thomas W.; Tee, Garry J. Formulae for the extended Laplace integral and their statistical applications. (English) Zbl 1305.33011 N. Z. J. Math. 44, 61-74 (2014). MSC: 33C10 33C15 33E20 33F05 65D20 33B20 PDFBibTeX XMLCite \textit{T. T. Tran} et al., N. Z. J. Math. 44, 61--74 (2014; Zbl 1305.33011) Full Text: Link
Alzer, Horst; Kwong, Man Kam A subadditive property of the error function. (English) Zbl 1320.33005 Proc. Am. Math. Soc. 142, No. 8, 2697-2704 (2014). Reviewer: Roelof Koekoek (Delft) MSC: 33B20 26D15 PDFBibTeX XMLCite \textit{H. Alzer} and \textit{M. K. Kwong}, Proc. Am. Math. Soc. 142, No. 8, 2697--2704 (2014; Zbl 1320.33005) Full Text: DOI
Ye, Jane J.; Zhang, Jin Enhanced Karush-Kuhn-Tucker condition and weaker constraint qualifications. (English) Zbl 1285.90078 Math. Program. 139, No. 1-2 (B), 353-381 (2013). Reviewer: Armin Hoffmann (Ilmenau) MSC: 90C46 90C31 49J52 90C30 PDFBibTeX XMLCite \textit{J. J. Ye} and \textit{J. Zhang}, Math. Program. 139, No. 1--2 (B), 353--381 (2013; Zbl 1285.90078) Full Text: DOI
Al-Humaidi, Bader; Al-Lail, Mohammed; Chaudhry, M. Aslam Iterated integrals of the generalized complementary error function. (English) Zbl 1253.33006 Far East J. Math. Sci. (FJMS) 63, No. 1, 25-43 (2012). MSC: 33B20 PDFBibTeX XMLCite \textit{B. Al-Humaidi} et al., Far East J. Math. Sci. (FJMS) 63, No. 1, 25--43 (2012; Zbl 1253.33006) Full Text: Link
Srivastava, H. M.; Chaudhry, M. Aslam; Agarwal, Ravi P. The incomplete Pochhammer symbols and their applications to hypergeometric and related functions. (English) Zbl 1254.33004 Integral Transforms Spec. Funct. 23, No. 9, 659-683 (2012). Reviewer: Peter Massopust (München) MSC: 33B20 33B15 33C05 33C15 33C20 PDFBibTeX XMLCite \textit{H. M. Srivastava} et al., Integral Transforms Spec. Funct. 23, No. 9, 659--683 (2012; Zbl 1254.33004) Full Text: DOI
Chevillard, S. The functions erf and erfc computed with arbitrary precision and explicit error bounds. (English) Zbl 1252.65051 Inf. Comput. 216, 72-95 (2012). MSC: 65D20 33B20 22F05 PDFBibTeX XMLCite \textit{S. Chevillard}, Inf. Comput. 216, 72--95 (2012; Zbl 1252.65051) Full Text: DOI
Baricz, Árpád; Sun, Yin Bounds for the generalized Marcum \(Q\)-function. (English) Zbl 1205.33009 Appl. Math. Comput. 217, No. 5, 2238-2250 (2010). MSC: 33C10 PDFBibTeX XMLCite \textit{Á. Baricz} and \textit{Y. Sun}, Appl. Math. Comput. 217, No. 5, 2238--2250 (2010; Zbl 1205.33009) Full Text: DOI
Deaño, Alfredo; Temme, Nico M. Analytical and numerical aspects of a generalization of the complementary error function. (English) Zbl 1195.65024 Appl. Math. Comput. 216, No. 12, 3680-3693 (2010). MSC: 65D20 33B20 33F05 PDFBibTeX XMLCite \textit{A. Deaño} and \textit{N. M. Temme}, Appl. Math. Comput. 216, No. 12, 3680--3693 (2010; Zbl 1195.65024) Full Text: DOI
Saha, U. K.; Arora, L. K.; Arora, A. K. On the relationships of the \(R\)-function of Lorenzo and Hartley with other special functions of fractional calculus. (English) Zbl 1198.33015 Fract. Calc. Appl. Anal. 12, No. 4, 453-458 (2009). MSC: 33E50 26A33 33E20 PDFBibTeX XMLCite \textit{U. K. Saha} et al., Fract. Calc. Appl. Anal. 12, No. 4, 453--458 (2009; Zbl 1198.33015)
Baricz, Árpád Tight bounds for the generalized Marcum \(Q\)-function. (English) Zbl 1190.33005 J. Math. Anal. Appl. 360, No. 1, 265-277 (2009). Reviewer: Juri M. Rappoport (Moskva) MSC: 33C10 PDFBibTeX XMLCite \textit{Á. Baricz}, J. Math. Anal. Appl. 360, No. 1, 265--277 (2009; Zbl 1190.33005) Full Text: DOI
Díaz-Francés, Eloísa; Montoya, José A. Correction to: On the linear combination of normal and Laplace random variables. (English) Zbl 1221.62024 Comput. Stat. 23, No. 4, 63-71 (2008). Reviewer: R. E. Maiboroda (Kyïv) MSC: 62E10 62-08 PDFBibTeX XMLCite \textit{E. Díaz-Francés} and \textit{J. A. Montoya}, Comput. Stat. 23, No. 4, 63--71 (2008; Zbl 1221.62024) Full Text: DOI
Elbert, Árpád; Laforgia, Andrea The zeros of the complementary error function. (English) Zbl 1167.33002 Numer. Algorithms 49, No. 1-4, 153-157 (2008). Reviewer: R. B. Paris (Dundee) MSC: 33B20 PDFBibTeX XMLCite \textit{Á. Elbert} and \textit{A. Laforgia}, Numer. Algorithms 49, No. 1--4, 153--157 (2008; Zbl 1167.33002) Full Text: DOI
Nadarajah, Saralees Comments on “Performance analysis of some CFAR detectors in homogeneous and non-homogeneous Pearson-distributed clutter”. (English) Zbl 1186.94248 Signal Process. 87, No. 5, 1169-1170 (2007). MSC: 94A12 PDFBibTeX XMLCite \textit{S. Nadarajah}, Signal Process. 87, No. 5, 1169--1170 (2007; Zbl 1186.94248) Full Text: DOI
Yürekli, O. Identities on fractional integrals and various integral transforms. (English) Zbl 1127.44001 Appl. Math. Comput. 187, No. 1, 559-566 (2007). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 44A10 44A15 26A33 33B20 33C10 PDFBibTeX XMLCite \textit{O. Yürekli}, Appl. Math. Comput. 187, No. 1, 559--566 (2007; Zbl 1127.44001) Full Text: DOI
Skrondal, Anders; Rabe-Hesketh, Sophia Generalized latent variable modeling. Multilevel, longitudinal, and structural equation models. (English) Zbl 1097.62001 Interdisciplinary Statistics. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-000-7/hbk; 978-0-203-48943-7/ebook). xi, 508 p. (2004). Reviewer: Yuehua Wu (Toronto) MSC: 62-02 62J12 65C60 62Pxx PDFBibTeX XMLCite \textit{A. Skrondal} and \textit{S. Rabe-Hesketh}, Generalized latent variable modeling. Multilevel, longitudinal, and structural equation models. Boca Raton, FL: Chapman \& Hall/CRC (2004; Zbl 1097.62001) Full Text: Link
Pinelis, Iosif Monotonicity properties of the relative error of a Padé approximation for Mills’ ratio. (English) Zbl 1010.62015 JIPAM, J. Inequal. Pure Appl. Math. 3, No. 2, Paper No. 20, 8 p. (2002). MSC: 62E17 41A21 11Y65 41A17 40A15 33B20 26A48 26D15 PDFBibTeX XMLCite \textit{I. Pinelis}, JIPAM, J. Inequal. Pure Appl. Math. 3, No. 2, Paper No. 20, 8 p. (2002; Zbl 1010.62015) Full Text: EuDML
Shih, Shagi-di Angular layer of a singularly perturbed parabolic problem with corner singularity. (English) Zbl 1049.35031 Can. Appl. Math. Q. 9, No. 2, 159-188 (2001). Reviewer: Jiaqi Mo (Wuhu) MSC: 35B25 35B40 35C20 35K20 PDFBibTeX XMLCite \textit{S.-d. Shih}, Can. Appl. Math. Q. 9, No. 2, 159--188 (2001; Zbl 1049.35031) Full Text: Euclid
Atanackovic, Teodor M.; Simic, Srboljub S. On the optimal shape of a Pflüger column. (English) Zbl 0978.74057 Eur. J. Mech., A, Solids 18, No. 5, 903-913 (1999). MSC: 74P10 74K10 PDFBibTeX XMLCite \textit{T. M. Atanackovic} and \textit{S. S. Simic}, Eur. J. Mech., A, Solids 18, No. 5, 903--913 (1999; Zbl 0978.74057) Full Text: DOI
Qi, Feng; Mei, Jia-Qiang Some inequalities of the incomplete gamma and related functions. (English) Zbl 0934.33001 Z. Anal. Anwend. 18, No. 3, 793-799 (1999). Reviewer: Lixin Liu (Guangzhou) MSC: 33B20 26D07 26D15 PDFBibTeX XMLCite \textit{F. Qi} and \textit{J.-Q. Mei}, Z. Anal. Anwend. 18, No. 3, 793--799 (1999; Zbl 0934.33001) Full Text: DOI EuDML
Shih, Shagi-Di A novel uniform expansion for a singularly perturbed parabolic problem with corner singularity. (English) Zbl 0995.41017 Methods Appl. Anal. 3, No. 2, 203-227 (1996). Reviewer: N.M.Temme (Amsterdam) MSC: 41A60 33B20 35C20 35K20 PDFBibTeX XMLCite \textit{S.-D. Shih}, Methods Appl. Anal. 3, No. 2, 203--227 (1996; Zbl 0995.41017) Full Text: DOI
Weideman, J. A. C. Computing integrals of the complex error function. (English) Zbl 0815.65032 Gautschi, Walter (ed.), Mathematics of computation, 1943-1993: a half- century of computational mathematics. Mathematics of computation 50th anniversary symposium, August 9-13, 1993, Vancouver, Canada. Providence, RI: American Mathematical Society. Proc. Symp. Appl. Math. 48, 403-407 (1994). MSC: 65D20 33B20 PDFBibTeX XMLCite \textit{J. A. C. Weideman}, Proc. Symp. Appl. Math. 48, 403--407 (1994; Zbl 0815.65032)
Aslam Chaudhry, M. On a family of logarithmic and exponential integrals occurring in probability and reliability theory. (English) Zbl 0822.33001 J. Aust. Math. Soc., Ser. B 35, No. 4, 469-478 (1994). Reviewer: Y.Kobayashi (Tottori) MSC: 33B20 60G50 PDFBibTeX XMLCite \textit{M. Aslam Chaudhry}, J. Aust. Math. Soc., Ser. B 35, No. 4, 469--478 (1994; Zbl 0822.33001) Full Text: DOI
Manno, Vincent P. A simple procedure for reducing numerical integration errors near singularities. (English) Zbl 0661.65023 Commun. Appl. Numer. Methods 4, No. 6, 713-716 (1988). Reviewer: E.Eitelberg MSC: 65D32 41A55 30E20 41A25 PDFBibTeX XMLCite \textit{V. P. Manno}, Commun. Appl. Numer. Methods 4, No. 6, 713--716 (1988; Zbl 0661.65023) Full Text: DOI
Dilcher, Karl Zeros of Bernoulli, generalized Bernoulli and Euler polynomials. (English) Zbl 0645.10015 Mem. Am. Math. Soc. 386, 94 p. (1988). Reviewer: Ladislav Skula (Brno) MSC: 11B68 11-02 PDFBibTeX XMLCite \textit{K. Dilcher}, Zeros of Bernoulli, generalized Bernoulli and Euler polynomials. Providence, RI: American Mathematical Society (AMS) (1988; Zbl 0645.10015) Full Text: DOI
Banerjee, P. K.; Ahmad, S.; Wang, H. C. A new BEM formulation for the acoustic eigenfrequency analysis. (English) Zbl 0635.73040 Int. J. Numer. Methods Eng. 26, No. 6, 1299-1309 (1988). MSC: 74J99 74S99 76Q05 65N30 65N25 PDFBibTeX XMLCite \textit{P. K. Banerjee} et al., Int. J. Numer. Methods Eng. 26, No. 6, 1299--1309 (1988; Zbl 0635.73040) Full Text: DOI
Agarwal, Ravi P. Boundary value problems for higher order differential equations. (English) Zbl 0619.34019 Singapore - Philadelphia, Pa.: World Scientific Publishing Co. (distr. by John Wiley & Sons Ltd., Chichester etc.). X, 307 p. £29.85 (1986). Reviewer: O.Akinyele MSC: 34B05 34-02 34A30 34B27 PDFBibTeX XML
Cheng, Ping; Pop, I. Transient free convection about a vertical flat plate embedded in a porous medium. (English) Zbl 0539.76088 Int. J. Eng. Sci. 22, 253-264 (1984). Reviewer: E.Adams MSC: 76R05 76S05 PDFBibTeX XMLCite \textit{P. Cheng} and \textit{I. Pop}, Int. J. Eng. Sci. 22, 253--264 (1984; Zbl 0539.76088) Full Text: DOI
Raptis, A. A.; Kafousias, N. G.; Massalas, C. V.; Tzivanidis, G. J. The effects of variable suction/injection on the free convection flow past an accelerated vertical insulated plate. (English) Zbl 0451.76077 Indian J. Pure Appl. Math. 12, 253-260 (1981). MSC: 76R10 76S05 76D99 PDFBibTeX XMLCite \textit{A. A. Raptis} et al., Indian J. Pure Appl. Math. 12, 253--260 (1981; Zbl 0451.76077)
Labisch, Franz K. Error bounds in nonlinear elastostatics. (English) Zbl 0452.73005 Int. J. Eng. Sci. 18, 389-407 (1980). MSC: 74B20 74B99 49S05 PDFBibTeX XMLCite \textit{F. K. Labisch}, Int. J. Eng. Sci. 18, 389--407 (1980; Zbl 0452.73005) Full Text: DOI
Thomasson, S.-I. A powerful asymptotic solution for sound propagation above an impedance boundary. (English) Zbl 0429.76051 Acustica 45, 122-125 (1980). MSC: 76Q05 PDFBibTeX XMLCite \textit{S. I. Thomasson}, Acustica 45, 122--125 (1980; Zbl 0429.76051)