Roelof Koekoek’s teaching page>; Special Functions – wi George E. Andrews, Richard Askey & Ranjan Roy: Special Functions. Special functions, by George E. Andrews, Richard Askey, and Ranjan Ranjan Roy has worked extensively in differential equations, and that. Andrews, G.E., Askey, R. and Roy, R. () Special Functions. polynomials as their special case a set of related polynomials which can be.
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Hardback, ISBN Paperback, ISBN Among others obtainable at bookstore Kooyker. I have found some minor mistakes in the book. See my list of errata.
Questions, suggestions or comments: Send me an email. Special Functions — wi This course will not be taught during the academic year The book which will be used in this course is: The gamma and beta functions Chapter 2: The hypergeometric functions Chapter 3: Hypergeometric transformations and identities Chapter 4: Bessel functions and confluent hypergeometric functions Chapter 5: Orthogonal polynomials Chapter 6: Special orthogonal polynomials Chapter 7: Topics in orthogonal polynomials Chapter 8: The Selberg integral and its applications Chapter 9: Spherical harmonics Chapter Introduction to q-series Chapter Bailey chains Appendix A: Infinite products Appendix B: Summability and fractional integration Appendix C: Asymptotic expansions Appendix D: Euler-Maclaurin summation formula Appendix E: Lagrange inversion formula Appendix F: Series solutions of differential equations Credits: A three-hour written exam Grade: The exam grade is the final grade Supplementary material in de form of pdf-documents: The gamma and the beta function Hyper: An introduction to the theory of hypergeometric functions Frobenius: A summary of the theory of series solutions of second order linear differential equations with applications of this theory to the hypergeometric, the confluent hypergeometric and the Bessel differential equation as examples Barnes: Barnes’ integral representation for a 2 F 1 Confluent: The confluent hypergeometric function Bessel: An introduction to the theory of Bessel functions Watson: Asymptotic expansions and Watson’s lemma Zeros: Zeros of Bessel functions OrthoPoly: An introduction to the theory of orthogonal polynomials qSeries: An introduction to the theory of q -series Last modified on July 26, Zoekfunctie Vul hier je zoekterm in.
A summary of the theory of series solutions of second order linear differential equations with applications of this theory to the hypergeometric, the confluent hypergeometric and the Bessel differential equation as examples.