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Found 146 Documents (Results 1–100)

Orthogonal polynomials and computer algebra. (English) Zbl 1443.33019

Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 479-493 (2020).
MSC:  33C45 68W30
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On the solutions of holonomic third-order linear irreducible differential equations in terms of hypergeometric functions. (English) Zbl 1443.33005

Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 137-154 (2020).
MSC:  33C10 33C20 34B30
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Computer algebra, power series and summation. (English) Zbl 1443.33035

Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 113-136 (2020).
MSC:  33F10 33C20 68W30
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Generating functions and hypergeometric representations of classical continuous orthogonal polynomials. (English) Zbl 1443.33022

Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 45-59 (2020).
MSC:  33C45
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Fractional and multivariable calculus. Model building and optimization problems. (English) Zbl 1376.26001

Springer Optimization and Its Applications 122. Cham: Springer (ISBN 978-3-319-59992-2/hbk; 978-3-319-59993-9/ebook). xiii, 234 p. (2017).
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On the computation of confluent hypergeometric functions for large imaginary part of parameters \(b\) and \(z\). (English) Zbl 1437.33006

Greuel, Gert-Martin (ed.) et al., Mathematical software – ICMS 2016. 5th international conference, Berlin, Germany, July 11–14, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9725, 241-248 (2016).
MSC:  33C15 33F05 68W30
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Hypergeometric solutions of first-order linear difference systems with rational-function coefficients. (English) Zbl 1434.33020

Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 17th international workshop, CASC 2015, Aachen, Germany, September 14–18, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9301, 1-14 (2015).
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Goursat’s hypergeometric transformations, revisited. (English) Zbl 1323.33008

Milovanović, Gradimir V. (ed.) et al., Analytic number theory, approximation theory, and special functions. In honor of Hari M. Srivastava. New York, NY: Springer (ISBN 978-1-4939-0257-6/hbk; 978-1-4939-0258-3/ebook). 721-736 (2014).
MSC:  33C05 65D20
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Hypergeometric summation. An algorithmic approach to summation and special function identities. 2nd ed. (English) Zbl 1296.33002

Universitext. London: Springer (ISBN 978-1-4471-6463-0/pbk; 978-1-4471-6464-7/ebook). xvii, 279 p. (2014).
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Lie algebras, representations, and analytic semigroups through dual vector fields. (English) Zbl 1339.17017

Graczyk, Piotr (ed.) et al., Orthogonal families and semigroups in analysis and probability. Selected papers based on the presentations at the CIMPA workshop, Mérida, Venezuela, 2006. Paris: Société Mathématique de France (ISBN 978-2-85629-362-1/pbk). Séminaires et Congrès 25, 111-193 (2012).
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Special functions viewed via problems. (Les fonctions spéciales vues par les problèmes. L3, master, CAPES, agrégation.) (French) Zbl 1242.33001

Pratiques Mathématiques. Toulouse: Cépaduès-Éditions (ISBN 978-2-85428-898-8/pbk). 325 p. (2009).
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Computer algebra method for orthogonal polynomials. (English) Zbl 1127.65015

Elaydi, S. (ed.) et al., Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-643-0/hbk). 325-343 (2007).
MSC:  65D20 33C45 33F05 65Q05 68W30 33-04
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Asymptotic approximations to truncation errors of series representations for special functions. (English) Zbl 1117.65042

Iske, Armin (ed) et al., Algorithms for approximation. Proceedings of the 5th international conference, Chester, UK, July 17–21, 2005. Berlin: Springer (ISBN 3-540-33283-9/hbk). 331-348 (2007).
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Computation of the real zeros of the Kummer function \(M(a;c;x)\). (English) Zbl 1230.33014

Iglesias, Andrés (ed.) et al., Mathematical software – ICMS 2006. Second international congress on mathematical software, Castro Urdiales, Spain, September 1–3, 2006. Proceedings. Berlin: Springer (ISBN 978-3-540-38084-9/pbk). Lecture Notes in Computer Science 4151, 296-307 (2006).
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Asymptotics of sums of hypergeometric terms. (English. Russian original) Zbl 1102.41029

Program. Comput. Softw. 31, No. 2, 65-72 (2005); translation from Programmirovanie 2005, No. 2, 22-31 (2005).
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Numerical aspects of special functions. (English) Zbl 1087.65527

Simos, Theodore S. (ed.) et al., ICNAAM 2005. International conference on numerical analysis and applied mathematics 2005. Official conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), Rhodes, Greek, September 16–20, 2005. Weinheim: Wiley-VCH (ISBN 3-527-40652-2/hbk). 696-698 (2005).
MSC:  65D20 33F05 33C05
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A method of computing the generalized hypergeometric functions \(_pF_{p-1}(a_1,\dots, a_p; b_1,\dots, b_{p-1}; 1)\) in terms of the Riemann zeta function. (Russian, English) Zbl 1077.33008

Zh. Vychisl. Mat. Mat. Fiz. 45, No. 4, 574-586 (2005); translation in Comput. Math. Math. Phys. 45, No. 4, 550-562 (2005).
MSC:  33C20
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Linear transformations and reduction formulas for the Gelfand hypergeometric functions associated with the Grassmannians \(G_{2,4}\) and \(G_{3,6}\). (English. Russian original) Zbl 1027.33012

Math. Notes 71, No. 1, 80-89 (2002); translation from Mat. Zametki 71, No. 1, 88-99 (2002).
MSC:  33C65 33C70
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