Edit Profile (opens in new tab) Koepf, Wolfram A. Co-Author Distance Author ID: koepf.wolfram-a Published as: Koepf, Wolfram; Koepf, W.; Koepf, Wolfram A. more...less Homepage: http://www.mathematik.uni-kassel.de/~koepf/ External Links: MGP Documents Indexed: 122 Publications since 1983, including 7 Books 17 Contributions as Editor · 2 Further Contributions Reviewing Activity: 274 Reviews Co-Authors: 65 Co-Authors with 93 Joint Publications 1,814 Co-Co-Authors all top 5 Co-Authors 46 single-authored 20 Masjed-Jamei, Mohammad 16 Foupouagnigni, Mama 10 Schmersau, Dieter 10 Vorozhtsov, Evgenii V. 9 Gerdt, Vladimir Petrovich 8 Seiler, Werner M. 8 Tcheutia, Daniel Duviol 6 Sadjang, P. Njionou 5 Ronveaux, André 4 Larcombe, Peter J. 4 Mayr, Ernst W. 3 Chaggara, Hamza 3 Fennessey, Eric J. 3 Fouda, J. S. Armand Eyebe 3 Jooste, Alta S. 3 Kim, Ryul 2 Beyki, M. R. 2 England, Matthew 2 French, David R. 2 Kenfack-Nangho, Maurice 2 Marinković, Sladjana D. 2 Mboutngam, Salifou 2 Moalemi, Zahra 2 Rajković, Predrag M. 2 Rathie, Arjun Kumar 2 Sadykov, Timur Mradovich 2 Sprenger, Torsten 2 Teguia Tabuguia, Bertrand 1 Askey, Richard Allen 1 Awad, Mohamed M. 1 Bausch, Isabell 1 Ben-Israel, Adi 1 Bernhard, Matthias 1 Biehler, Rolf 1 Böing, Harald 1 Bruder, Regina 1 Chiadjeu, Etienne Nana 1 Dana-Picard, Thierry Noah 1 Debeerst, Ruben 1 Elschenbroich, Hans-Jürgen 1 Fischer, Pascal R. 1 Forwa, Kingsley Njem 1 Gatermann, Karin 1 Gil, Amparo 1 Gilbert, Robert Pertsch 1 Greefrath, Gilbert 1 Heinle, Albert 1 Hochmuth, Reinhard 1 Horn, Peter D. 1 Jacquir, Sabir 1 Kim, Insuk 1 Koornwinder, Tom H. 1 Kotsireas, Ilias S. 1 Kovács, Zoltán 1 Mohammed, Asmaa Orabi 1 Mouafo Wouodjié, Merlin 1 Prokopenya, Alexander N. 1 Rakha, Medhat Ahmed 1 Sawalda, D. Kalda 1 Schiemann, Stephanie 1 Schreiber, Stephan 1 Segura, Javier 1 Soleyman, Fatemeh 1 Sperber, Wolfram 1 Srivastava, Hari Mohan 1 Sturm, Thomas 1 von Hoeij, Mark 1 Wassong, Thomas 1 Watt, Stephen Michael 1 Wesselsky, Christian all top 5 Serials 11 Journal of Symbolic Computation 10 Lecture Notes in Computer Science 9 Complex Variables. Theory and Application 8 Journal of Computational and Applied Mathematics 7 Integral Transforms and Special Functions 5 Journal of Difference Equations and Applications 4 Proceedings of the American Mathematical Society 4 Utilitas Mathematica 4 The Ramanujan Journal 4 Mathematics in Computer Science 4 Axioms 3 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 2 Applicable Analysis 2 SIGSAM Bulletin 2 Finite Fields and their Applications 2 ETNA. Electronic Transactions on Numerical Analysis 2 Analysis (München) 2 Communications in Nonlinear Science and Numerical Simulation 2 Mediterranean Journal of Mathematics 2 Complex Variables and Elliptic Equations 2 ACM Communications in Computer Algebra 1 Journal of Mathematical Analysis and Applications 1 Mathematische Semesterberichte 1 Reports on Mathematical Physics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Journal of Mathematical Sciences (Delhi) 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Programming and Computer Software 1 Results in Mathematics 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Numerical Algorithms 1 Elemente der Mathematik 1 Applicable Algebra in Engineering, Communication and Computing 1 Congressus Numerantium 1 Bulletin des Sciences Mathématiques 1 Nonlinear Dynamics 1 Journal of Nonlinear Mathematical Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 International Journal of Algebra 1 Creative Mathematics and Informatics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Classical Analysis 1 Universitext 1 Tutorials, Schools, and Workshops in the Mathematical Sciences 1 Springer Undergraduate Texts in Mathematics and Technology all top 5 Fields 71 Special functions (33-XX) 46 Computer science (68-XX) 29 Functions of a complex variable (30-XX) 18 Numerical analysis (65-XX) 17 General and overarching topics; collections (00-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 9 Number theory (11-XX) 7 Difference and functional equations (39-XX) 6 Combinatorics (05-XX) 6 Ordinary differential equations (34-XX) 6 Mathematics education (97-XX) 5 Real functions (26-XX) 4 Field theory and polynomials (12-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Approximations and expansions (41-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Sequences, series, summability (40-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 793 times in 524 Documents Cited by ▼ Year ▼ On the Fekete-Szegő problem for close-to-convex functions. Zbl 0635.30019Koepf, Wolfram 79 1987 Hypergeometric summation. An algorithmic approach to summation and special function identities. Zbl 0909.33001Koepf, Wolfram 78 1998 Representations of orthogonal polynomials. Zbl 0907.65017Koepf, Wolfram; Schmersau, Dieter 56 1998 Hypergeometric summation. An algorithmic approach to summation and special function identities. 2nd ed. Zbl 1296.33002Koepf, Wolfram 51 2014 On the Fekete-Szegö problem for close-to-convex functions. II. Zbl 0635.30020Koepf, Wolfram 35 1987 Recurrence equations and their classical orthogonal polynomial solutions. Zbl 1031.33007Koepf, Wolfram; Schmersau, Dieter 25 2002 Coefficients of symmetric functions of bounded boundary rotation. Zbl 0669.30007Koepf, Wolfram 21 1989 Algorithms for \(q\)-hypergeometric summation in computer algebra. Zbl 0946.65008Böing, Harald; Koepf, Wolfram 21 1999 On moments of classical orthogonal polynomials. Zbl 1321.33022Njionou Sadjang, P.; Koepf, W.; Foupouagnigni, M. 19 2015 A generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to it. Zbl 1099.33007Koepf, Wolfram; Masjed-Jamei, Mohammad 19 2006 On linearization coefficients of Jacobi polynomials. Zbl 1189.33013Chaggara, Hamza; Koepf, Wolfram 19 2010 Symbolic computation of some power-trigonometric series. Zbl 1356.33013Masjed-Jamei, Mohammad; Koepf, Wolfram 18 2017 Connection and linearization coefficients of the Askey-Wilson polynomials. Zbl 1273.33003Foupouagnigni, M.; Koepf, W.; Tcheutia, D. D. 17 2013 A new type of Euler polynomials and numbers. Zbl 1422.11051Masjed-Jamei, M.; Beyki, M. R.; Koepf, W. 16 2018 On solutions of holonomic divided-difference equations on nonuniform lattices. Zbl 1301.33024Foupouagnigni, Mama; Koepf, Wolfram; Kenfack-Nangho, Maurice; Mboutngam, Salifou 14 2013 On incomplete symmetric orthogonal polynomials of Jacobi type. Zbl 1206.33010Masjed-Jamei, Mohammad; Koepf, Wolfram 13 2010 Algorithms for \(m\)-fold hypergeometric summation. Zbl 0851.68049Koepf, Wolfram 13 1995 Power series in computer algebra. Zbl 0758.30026Koepf, Wolfram 13 1992 Identities for families of orthogonal polynomials and special functions. Zbl 0895.33002Koepf, Wolfram 12 1997 On linearization and connection coefficients for generalized Hermite polynomials. Zbl 1231.33010Chaggara, Hamza; Koepf, Wolfram 12 2011 Two classes of special functions using Fourier transforms of some finite classes of classical orthogonal polynomials. Zbl 1125.33005Koepf, Wolfram; Masjed-Jamei, Mohammad 11 2007 Factorization of fourth-order differential equations for perturbed classical orthogonal polynomials. Zbl 1052.33006Foupouagnigni, M.; Koepf, W.; Ronveaux, A. 11 2004 On incomplete symmetric orthogonal polynomials of Laguerre type. Zbl 1220.33011Masjed-Jamei, Mohammad; Koepf, Wolfram 10 2011 Representations of \(q\)-orthogonal polynomials. Zbl 1247.33015Foupouagnigni, M.; Koepf, W.; Tcheutia, D. D.; Sadjang, P. Njionou 10 2012 Fourth order \(q\)-difference equation for the first associated of the \(q\)-classical orthogonal polynomials. Zbl 0952.33006Foupouagnigni, M.; Ronveaux, A.; Koepf, W. 10 1999 An extension of the Euler-Maclaurin quadrature formula using a parametric type of Bernoulli polynomials. Zbl 1461.11043Masjed-Jamei, Mohammad; Beyki, M. R.; Koepf, Wolfram 8 2019 Two classes of special functions using Fourier transforms of generalized ultraspherical and generalized Hermite polynomials. Zbl 1246.33005Masjed-Jamei, Mohammad; Koepf, Wolfram 8 2012 Duplication coefficients via generating functions. Zbl 1120.33005Chaggara, Hamza; Koepf, Wolfram 7 2007 The parity of the number of irreducible factors for some pentanomials. Zbl 1219.11179Koepf, Wolfram; Kim, Ryul 6 2009 A generalization of Student’s \(t\)-distribution from the viewpoint of special functions. Zbl 1109.60010Koepf, Wolfram; Masjed-Jamei, Mohammad 6 2006 \( m\)-fold hypergeometric solutions of linear recurrence equations revisited. Zbl 1262.68190Horn, Peter; Koepf, Wolfram; Sprenger, Torsten 6 2012 On fourth-order difference equations for orthogonal polynomials of a discrete variable: Derivation, factorization and solutions. Zbl 1062.33010Foupouagnigni, M.; Koepf, W.; Ronveaux, A. 6 2003 On structure formulas for Wilson polynomials. Zbl 1331.33011Sadjang, P. Njionou; Koepf, W.; Foupouagnigni, M. 5 2015 Divided-difference equation, inversion, connection, multiplication and linearization formulae of the continuous Hahn and the Meixner-Pollaczek polynomials. Zbl 1382.33008Tcheutia, D. D.; Njionou Sadjang, P.; Koepf, W.; Foupouagnigni, M. 5 2018 A generic formula for the values at the boundary points of monic classical orthogonal polynomials. Zbl 1091.33008Koepf, Wolfram; Masjed-Jamei, Mohammad 5 2006 Close-to-convex functions and linear-invariant families. Zbl 0508.30016Koepf, Wolfram 5 1983 On a structure formula for classical \(q\)-orthogonal polynomials. Zbl 1004.33008Koepf, Wolfram; Schmersau, Dieter 5 2001 Fourth-order difference equation for the associated classical discrete orthogonal polynomials. Zbl 0928.33006Foupouagnigni, M.; Koepf, W.; Ronveaux, A. 5 1998 On a new class of Laplace-type integrals involving generalized hypergeometric functions. Zbl 1432.33004Koepf, Wolfram; Kim, Insuk; Rathie, Arjun K. 5 2019 Classical families of univalent functions in the Hornich space. Zbl 0572.30009Koepf, Wolfram 4 1985 Coefficients of multiplication formulas for classical orthogonal polynomials. Zbl 1334.33028Tcheutia, D. D.; Foupouagnigni, M.; Koepf, W.; Sadjang, P. Njionou 4 2016 Properties of \(q\)-holonomic functions. Zbl 1128.39015Koepf, Wolfram; Rajković, Predrag M.; Marinković, Sladjana D. 4 2007 Mixed recurrence equations and interlacing properties for zeros of sequences of classical \(q\)-orthogonal polynomials. Zbl 1379.65014Tcheutia, D. D.; Jooste, A. S.; Koepf, W. 4 2018 Bounded nonvanishing functions and Bateman functions. Zbl 0823.30009Koepf, Wolfram; Schmersau, Dieter 4 1994 Algorithmic development of power series. Zbl 0925.68242Koepf, Wolfram 4 1993 Power series, Bieberbach conjecture and the de Branges and Weinstein functions. Zbl 1072.68678Koepf, Wolfram 4 2003 Algorithmic determination of \(q\)-power series for \(q\)-holonomic functions. Zbl 1245.33016Sprenger, Torsten; Koepf, Wolfram 4 2012 Computing the real zeros of hypergeometric functions. Zbl 1071.33017Gil, Amparo; Koepf, Wolfram; Segura, Javier 4 2004 Parity of the number of irreducible factors for composite polynomials. Zbl 1200.11092Kim, Ryul; Koepf, Wolfram 4 2010 Bieberbach’s conjecture, the de Branges and Weinstein functions and the Askey-Gasper inequality. Zbl 1186.30001Koepf, Wolfram 3 2007 On close-to-convex functions and linearly accessible domains. Zbl 0679.30007Koepf, Wolfram 3 1989 Solving differential equations in terms of Bessel functions. Zbl 1191.33002Debeerst, Ruben; von Hoeij, Mark; Koepf, Wolfram 3 2008 Computer algebra. An algorithmic oriented introduction. (Computeralgebra. Eine algorithmisch orientierte Einführung.) Zbl 1161.68881Koepf, Wolfram 3 2006 An extension of the Taylor series expansion by using the Bell polynomials. Zbl 1423.41046Masjed-Jamei, Mohammad; Moalemi, Zahra; Koepf, Wolfram; Srivastava, H. M. 3 2019 The ordinal Kolmogorov-Sinai entropy: a generalized approximation. Zbl 1487.37006Eyebe Fouda, J. S. Armand; Koepf, Wolfram; Jacquir, Sabir 3 2017 On the De Branges theorem. Zbl 0882.30010Koepf, Wolfram; Schmersau, Dieter 3 1996 Some summation theorems for generalized hypergeometric functions. Zbl 1432.33005Masjed-Jamei, Mohammad; Koepf, Wolfram 3 2018 Taylor polynomials of implicit functions, of inverse functions, and of solutions of ordinary differential equations. Zbl 0817.41001Koepf, Wolfram 2 1994 Two finite hypergeometric sequences of discrete orthogonal polynomials. Zbl 1407.42015Masjed-Jamei, Mohammad; Koepf, Wolfram 2 2018 On the solutions of holonomic third-order linear irreducible differential equations in terms of hypergeometric functions. Zbl 1454.34005Mouafo Wouodjié, Merlin; Koepf, Wolfram 2 2020 Detecting regular dynamics from time series using permutations slopes. Zbl 1457.37101Eyebe Fouda, J. S. Armand; Koepf, Wolfram 2 2015 Quasi-orthogonality of some hypergeometric and \(q\)-hypergeometric polynomials. Zbl 1391.33012Tcheutia, Daniel D.; Jooste, Alta S.; Koepf, Wolfram 2 2018 On two conjectures of M. S. Robertson. Zbl 0745.30004Koepf, Wolfram 2 1991 On the interplay between geometrical and analytical properties of functions of bounded boundary rotation. Zbl 0749.30004Koepf, Wolfram 2 1991 REDUCE package for the indefinite and definite summation. Zbl 1097.65554Koepf, Wolfram 2 1995 Numeric versus symbolic computation. Zbl 0954.68521Koepf, Wolfram 2 1999 Orthogonal polynomials and computer algebra. Zbl 0955.68131Koepf, Wolfram 2 1999 Software for the algorithmic work with orthogonal polynomials and special functions. Zbl 0946.33001Koepf, Wolfram 2 1999 Integral proofs of two alternating sign binomial coefficient identities. Zbl 1064.05024Larcombe, Peter J.; Fennessey, Eric J.; Koepf, Wolfram A. 2 2004 The algebra of holonomic equations. Zbl 0962.68181Koepf, Wolfram 2 1997 Computer algebra algorithms for orthogonal polynomials and special functions. Zbl 1031.33014Koepf, Wolfram 2 2003 Complexity measure by ordinal matrix growth modeling. Zbl 1384.37109Fouda, J. S. Armand Eyebe; Koepf, Wolfram 1 2017 On nonvanishing univalent functions with real coefficients. Zbl 0599.30030Koepf, Wolfram 1 1986 Extrempunkte und Stützpunkte in Familien nichtverschwindender schlichter Funktionen. (Extreme points and support points in families of nonvanishing univalent functions). Zbl 0622.30002Koepf, Wolfram 1 1987 Close-to-convex functions, univalence criteria and quasiconformal extension. Zbl 0649.30011Koepf, W. 1 1986 Extremal problems for close-to-convex functions. Zbl 0663.30019Koepf, Wolfram 1 1988 Parallel accessible domains and domains that are convex in some direction. Zbl 0787.30008Koepf, W. 1 1992 From Bieberbach’s conjecture to de Branges’ theorem and Weinstein’s variant of proof. (Von der Bieberbachschen Vermutung zum Satz von de Branges sowie der Beweisvariante von Weinstein.) Zbl 0815.30013Koepf, Wolfram 1 1994 Divisibility of trinomials by irreducible polynomials over \(\mathbb F_2\). Zbl 1232.11125Kim, Ryul; Koepf, Wolfram 1 2009 Computer algebra method for orthogonal polynomials. Zbl 1127.65015Koepf, W. 1 2007 A uniqueness theorem for functions of positive real part. Zbl 0929.30011Koepf, Wolfram 1 1994 The real numbers as foundation and component of analysis. (Die reellen Zahlen als Fundament und Baustein der Analysis.) Zbl 0949.26001Schmersau, Dieter; Koepf, Wolfram 1 2000 Weinstein’s functions and the Askey-Gasper identity. Zbl 0906.30017Koepf, Wolfram; Schmersau, Dieter 1 1997 On exponential and trigonometric functions on nonuniform lattices. Zbl 1431.33019Kenfack Nangho, M.; Foupouagnigni, M.; Koepf, W. 1 2019 Inner bounds for the extreme zeros of \(_3F_2\) hypergeometric polynomials. Zbl 1445.33057Jooste, A.; Sadjang, P. Njionou; Koepf, W. 1 2017 Two finite classes of orthogonal functions. Zbl 1292.42017Masjed-Jamei, Mohammad; Koepf, Wolfram 1 2013 On Gould’s identity No. 1.45. Zbl 1060.05012Larcombe, Peter J.; Fennessey, Eric J.; Koepf, Wolfram A.; French, David R. 1 2003 On the solutions of holonomic third-order linear irreducible differential equations in terms of hypergeometric functions. Zbl 1454.34005Mouafo Wouodjié, Merlin; Koepf, Wolfram 2 2020 An extension of the Euler-Maclaurin quadrature formula using a parametric type of Bernoulli polynomials. Zbl 1461.11043Masjed-Jamei, Mohammad; Beyki, M. R.; Koepf, Wolfram 8 2019 On a new class of Laplace-type integrals involving generalized hypergeometric functions. Zbl 1432.33004Koepf, Wolfram; Kim, Insuk; Rathie, Arjun K. 5 2019 An extension of the Taylor series expansion by using the Bell polynomials. Zbl 1423.41046Masjed-Jamei, Mohammad; Moalemi, Zahra; Koepf, Wolfram; Srivastava, H. M. 3 2019 On exponential and trigonometric functions on nonuniform lattices. Zbl 1431.33019Kenfack Nangho, M.; Foupouagnigni, M.; Koepf, W. 1 2019 A new type of Euler polynomials and numbers. Zbl 1422.11051Masjed-Jamei, M.; Beyki, M. R.; Koepf, W. 16 2018 Divided-difference equation, inversion, connection, multiplication and linearization formulae of the continuous Hahn and the Meixner-Pollaczek polynomials. Zbl 1382.33008Tcheutia, D. D.; Njionou Sadjang, P.; Koepf, W.; Foupouagnigni, M. 5 2018 Mixed recurrence equations and interlacing properties for zeros of sequences of classical \(q\)-orthogonal polynomials. Zbl 1379.65014Tcheutia, D. D.; Jooste, A. S.; Koepf, W. 4 2018 Some summation theorems for generalized hypergeometric functions. Zbl 1432.33005Masjed-Jamei, Mohammad; Koepf, Wolfram 3 2018 Two finite hypergeometric sequences of discrete orthogonal polynomials. Zbl 1407.42015Masjed-Jamei, Mohammad; Koepf, Wolfram 2 2018 Quasi-orthogonality of some hypergeometric and \(q\)-hypergeometric polynomials. Zbl 1391.33012Tcheutia, Daniel D.; Jooste, Alta S.; Koepf, Wolfram 2 2018 Symbolic computation of some power-trigonometric series. Zbl 1356.33013Masjed-Jamei, Mohammad; Koepf, Wolfram 18 2017 The ordinal Kolmogorov-Sinai entropy: a generalized approximation. Zbl 1487.37006Eyebe Fouda, J. S. Armand; Koepf, Wolfram; Jacquir, Sabir 3 2017 Complexity measure by ordinal matrix growth modeling. Zbl 1384.37109Fouda, J. S. Armand Eyebe; Koepf, Wolfram 1 2017 Inner bounds for the extreme zeros of \(_3F_2\) hypergeometric polynomials. Zbl 1445.33057Jooste, A.; Sadjang, P. Njionou; Koepf, W. 1 2017 Coefficients of multiplication formulas for classical orthogonal polynomials. Zbl 1334.33028Tcheutia, D. D.; Foupouagnigni, M.; Koepf, W.; Sadjang, P. Njionou 4 2016 On moments of classical orthogonal polynomials. Zbl 1321.33022Njionou Sadjang, P.; Koepf, W.; Foupouagnigni, M. 19 2015 On structure formulas for Wilson polynomials. Zbl 1331.33011Sadjang, P. Njionou; Koepf, W.; Foupouagnigni, M. 5 2015 Detecting regular dynamics from time series using permutations slopes. Zbl 1457.37101Eyebe Fouda, J. S. Armand; Koepf, Wolfram 2 2015 Hypergeometric summation. An algorithmic approach to summation and special function identities. 2nd ed. Zbl 1296.33002Koepf, Wolfram 51 2014 Connection and linearization coefficients of the Askey-Wilson polynomials. Zbl 1273.33003Foupouagnigni, M.; Koepf, W.; Tcheutia, D. D. 17 2013 On solutions of holonomic divided-difference equations on nonuniform lattices. Zbl 1301.33024Foupouagnigni, Mama; Koepf, Wolfram; Kenfack-Nangho, Maurice; Mboutngam, Salifou 14 2013 Two finite classes of orthogonal functions. Zbl 1292.42017Masjed-Jamei, Mohammad; Koepf, Wolfram 1 2013 Representations of \(q\)-orthogonal polynomials. Zbl 1247.33015Foupouagnigni, M.; Koepf, W.; Tcheutia, D. D.; Sadjang, P. Njionou 10 2012 Two classes of special functions using Fourier transforms of generalized ultraspherical and generalized Hermite polynomials. Zbl 1246.33005Masjed-Jamei, Mohammad; Koepf, Wolfram 8 2012 \( m\)-fold hypergeometric solutions of linear recurrence equations revisited. Zbl 1262.68190Horn, Peter; Koepf, Wolfram; Sprenger, Torsten 6 2012 Algorithmic determination of \(q\)-power series for \(q\)-holonomic functions. Zbl 1245.33016Sprenger, Torsten; Koepf, Wolfram 4 2012 On linearization and connection coefficients for generalized Hermite polynomials. Zbl 1231.33010Chaggara, Hamza; Koepf, Wolfram 12 2011 On incomplete symmetric orthogonal polynomials of Laguerre type. Zbl 1220.33011Masjed-Jamei, Mohammad; Koepf, Wolfram 10 2011 On linearization coefficients of Jacobi polynomials. Zbl 1189.33013Chaggara, Hamza; Koepf, Wolfram 19 2010 On incomplete symmetric orthogonal polynomials of Jacobi type. Zbl 1206.33010Masjed-Jamei, Mohammad; Koepf, Wolfram 13 2010 Parity of the number of irreducible factors for composite polynomials. Zbl 1200.11092Kim, Ryul; Koepf, Wolfram 4 2010 The parity of the number of irreducible factors for some pentanomials. Zbl 1219.11179Koepf, Wolfram; Kim, Ryul 6 2009 Divisibility of trinomials by irreducible polynomials over \(\mathbb F_2\). Zbl 1232.11125Kim, Ryul; Koepf, Wolfram 1 2009 Solving differential equations in terms of Bessel functions. Zbl 1191.33002Debeerst, Ruben; von Hoeij, Mark; Koepf, Wolfram 3 2008 Two classes of special functions using Fourier transforms of some finite classes of classical orthogonal polynomials. Zbl 1125.33005Koepf, Wolfram; Masjed-Jamei, Mohammad 11 2007 Duplication coefficients via generating functions. Zbl 1120.33005Chaggara, Hamza; Koepf, Wolfram 7 2007 Properties of \(q\)-holonomic functions. Zbl 1128.39015Koepf, Wolfram; Rajković, Predrag M.; Marinković, Sladjana D. 4 2007 Bieberbach’s conjecture, the de Branges and Weinstein functions and the Askey-Gasper inequality. Zbl 1186.30001Koepf, Wolfram 3 2007 Computer algebra method for orthogonal polynomials. Zbl 1127.65015Koepf, W. 1 2007 A generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to it. Zbl 1099.33007Koepf, Wolfram; Masjed-Jamei, Mohammad 19 2006 A generalization of Student’s \(t\)-distribution from the viewpoint of special functions. Zbl 1109.60010Koepf, Wolfram; Masjed-Jamei, Mohammad 6 2006 A generic formula for the values at the boundary points of monic classical orthogonal polynomials. Zbl 1091.33008Koepf, Wolfram; Masjed-Jamei, Mohammad 5 2006 Computer algebra. An algorithmic oriented introduction. (Computeralgebra. Eine algorithmisch orientierte Einführung.) Zbl 1161.68881Koepf, Wolfram 3 2006 Factorization of fourth-order differential equations for perturbed classical orthogonal polynomials. Zbl 1052.33006Foupouagnigni, M.; Koepf, W.; Ronveaux, A. 11 2004 Computing the real zeros of hypergeometric functions. Zbl 1071.33017Gil, Amparo; Koepf, Wolfram; Segura, Javier 4 2004 Integral proofs of two alternating sign binomial coefficient identities. Zbl 1064.05024Larcombe, Peter J.; Fennessey, Eric J.; Koepf, Wolfram A. 2 2004 On fourth-order difference equations for orthogonal polynomials of a discrete variable: Derivation, factorization and solutions. Zbl 1062.33010Foupouagnigni, M.; Koepf, W.; Ronveaux, A. 6 2003 Power series, Bieberbach conjecture and the de Branges and Weinstein functions. Zbl 1072.68678Koepf, Wolfram 4 2003 Computer algebra algorithms for orthogonal polynomials and special functions. Zbl 1031.33014Koepf, Wolfram 2 2003 On Gould’s identity No. 1.45. Zbl 1060.05012Larcombe, Peter J.; Fennessey, Eric J.; Koepf, Wolfram A.; French, David R. 1 2003 Recurrence equations and their classical orthogonal polynomial solutions. Zbl 1031.33007Koepf, Wolfram; Schmersau, Dieter 25 2002 On a structure formula for classical \(q\)-orthogonal polynomials. Zbl 1004.33008Koepf, Wolfram; Schmersau, Dieter 5 2001 The real numbers as foundation and component of analysis. (Die reellen Zahlen als Fundament und Baustein der Analysis.) Zbl 0949.26001Schmersau, Dieter; Koepf, Wolfram 1 2000 Algorithms for \(q\)-hypergeometric summation in computer algebra. Zbl 0946.65008Böing, Harald; Koepf, Wolfram 21 1999 Fourth order \(q\)-difference equation for the first associated of the \(q\)-classical orthogonal polynomials. Zbl 0952.33006Foupouagnigni, M.; Ronveaux, A.; Koepf, W. 10 1999 Numeric versus symbolic computation. Zbl 0954.68521Koepf, Wolfram 2 1999 Orthogonal polynomials and computer algebra. Zbl 0955.68131Koepf, Wolfram 2 1999 Software for the algorithmic work with orthogonal polynomials and special functions. Zbl 0946.33001Koepf, Wolfram 2 1999 Hypergeometric summation. An algorithmic approach to summation and special function identities. Zbl 0909.33001Koepf, Wolfram 78 1998 Representations of orthogonal polynomials. Zbl 0907.65017Koepf, Wolfram; Schmersau, Dieter 56 1998 Fourth-order difference equation for the associated classical discrete orthogonal polynomials. Zbl 0928.33006Foupouagnigni, M.; Koepf, W.; Ronveaux, A. 5 1998 Identities for families of orthogonal polynomials and special functions. Zbl 0895.33002Koepf, Wolfram 12 1997 The algebra of holonomic equations. Zbl 0962.68181Koepf, Wolfram 2 1997 Weinstein’s functions and the Askey-Gasper identity. Zbl 0906.30017Koepf, Wolfram; Schmersau, Dieter 1 1997 On the De Branges theorem. Zbl 0882.30010Koepf, Wolfram; Schmersau, Dieter 3 1996 Algorithms for \(m\)-fold hypergeometric summation. Zbl 0851.68049Koepf, Wolfram 13 1995 REDUCE package for the indefinite and definite summation. Zbl 1097.65554Koepf, Wolfram 2 1995 Bounded nonvanishing functions and Bateman functions. Zbl 0823.30009Koepf, Wolfram; Schmersau, Dieter 4 1994 Taylor polynomials of implicit functions, of inverse functions, and of solutions of ordinary differential equations. Zbl 0817.41001Koepf, Wolfram 2 1994 From Bieberbach’s conjecture to de Branges’ theorem and Weinstein’s variant of proof. (Von der Bieberbachschen Vermutung zum Satz von de Branges sowie der Beweisvariante von Weinstein.) Zbl 0815.30013Koepf, Wolfram 1 1994 A uniqueness theorem for functions of positive real part. Zbl 0929.30011Koepf, Wolfram 1 1994 Algorithmic development of power series. Zbl 0925.68242Koepf, Wolfram 4 1993 Power series in computer algebra. Zbl 0758.30026Koepf, Wolfram 13 1992 Parallel accessible domains and domains that are convex in some direction. Zbl 0787.30008Koepf, W. 1 1992 On two conjectures of M. S. Robertson. Zbl 0745.30004Koepf, Wolfram 2 1991 On the interplay between geometrical and analytical properties of functions of bounded boundary rotation. Zbl 0749.30004Koepf, Wolfram 2 1991 Coefficients of symmetric functions of bounded boundary rotation. Zbl 0669.30007Koepf, Wolfram 21 1989 On close-to-convex functions and linearly accessible domains. Zbl 0679.30007Koepf, Wolfram 3 1989 Extremal problems for close-to-convex functions. Zbl 0663.30019Koepf, Wolfram 1 1988 On the Fekete-Szegő problem for close-to-convex functions. Zbl 0635.30019Koepf, Wolfram 79 1987 On the Fekete-Szegö problem for close-to-convex functions. II. Zbl 0635.30020Koepf, Wolfram 35 1987 Extrempunkte und Stützpunkte in Familien nichtverschwindender schlichter Funktionen. (Extreme points and support points in families of nonvanishing univalent functions). Zbl 0622.30002Koepf, Wolfram 1 1987 On nonvanishing univalent functions with real coefficients. Zbl 0599.30030Koepf, Wolfram 1 1986 Close-to-convex functions, univalence criteria and quasiconformal extension. Zbl 0649.30011Koepf, W. 1 1986 Classical families of univalent functions in the Hornich space. Zbl 0572.30009Koepf, Wolfram 4 1985 Close-to-convex functions and linear-invariant families. Zbl 0508.30016Koepf, Wolfram 5 1983 all cited Publications top 5 cited Publications all top 5 Cited by 597 Authors 54 Koepf, Wolfram A. 33 Masjed-Jamei, Mohammad 21 Area, Iván 21 Foupouagnigni, Mama 18 Abd-Elhameed, Waleed Mohamed 14 Guo, Victor J. W. 14 Ronveaux, André 12 Srivastava, Hari Mohan 12 Youssri, Youssri H. 11 Simsek, Yilmaz 11 Tcheutia, Daniel Duviol 9 Godoy, Eduardo Paciência 8 Aktaş, Rabia 8 Chaggara, Hamza 7 Chen, William Yong-Chuan 7 Orhan, Halit 7 Rutka, Przemysław 7 Sadjang, P. Njionou 7 Smarzewski, Ryszard 6 Ahmed, Hany M. 6 Doha, Eid H. 6 Kilar, Neslihan 6 Schmersau, Dieter 6 Zarzo, Alejandro 5 Bansal, Deepak 5 Gochhayat, Priyabrat 5 Kenfack-Nangho, Maurice 5 Mu, Yanping 5 Ponnusamy, Saminathan 5 Sahoo, Ashok Kumar 5 Segura, Javier 5 Xu, Qinghua 4 Beyki, M. R. 4 Kim, Taekyun 4 Kowalczyk, Bogumiła 4 Kumar, Virendra 4 Lecko, Adam 4 Liu, Jicai 4 Liu, Taishun 4 Maharana, Sudhananda 4 Mboutngam, Salifou 4 Patel, Jagannath 4 Prajapat, Jugal Kishore 4 Răducanu, Dorina 4 Tang, Huo 4 Vasudevarao, Allu 4 Wanas, Abbas Kareem 3 Alhaidari, Abdulaziz D. 3 Ali, Md Firoz 3 Bhowmik, Bappaditya 3 Bulut, Serap 3 Çağlar, Murat 3 Cheng, Jinfa 3 da Rocha, Zélia 3 Darus, Maslina 3 Gil, Amparo 3 Güldoğan, Esra 3 Hou, Qinghu 3 Jooste, Alta S. 3 Khan, Shahid Ali 3 Kim, Dae San 3 Kıymaz, Onur 3 Marcellán Español, Francisco 3 Marinković, Sladjana D. 3 Milovanović, Gradimir V. 3 Motamednezhad, Ahmad 3 Murugusundaramoorthy, Gangadharan 3 Panigrahi, Trailokya 3 Rajković, Predrag M. 3 Rasila, Antti 3 Rathie, Arjun Kumar 3 Salehian, Safa 3 Sim, Youngjae 3 Sun, Yong 3 Thomas, Derek Keith 3 Verde-Star, Luis 3 Wirths, Karl-Joachim 3 Yalçin, Sibel 3 Yu, Changan 3 Zaprawa, Paweł 2 Abramov, Sergeĭ Aleksandrovich 2 Ali, Afnan 2 Altinkaya, Şahsene 2 Arikan, Hava 2 Atta, A. G. 2 Avram, Florin 2 Ayadi, N. 2 Bailey, David Harold 2 Bedratyuk, Leonid 2 Borwein, Jonathan Michael 2 Chen, Vincent Y. B. 2 Cho, Nak Eun 2 Cohl, Howard Saul 2 Costas-Santos, Roberto S. 2 Crandall, Richard E. 2 Dağli, Muhammet Cihat 2 Deaño, Alfredo 2 Dehesa, Jesús S. 2 Dominici, Diego Ernesto 2 Dorff, Michael John ...and 497 more Authors all top 5 Cited in 193 Serials 29 Journal of Computational and Applied Mathematics 20 Journal of Symbolic Computation 20 Integral Transforms and Special Functions 19 Journal of Difference Equations and Applications 16 Journal of Mathematical Analysis and Applications 16 Applied Mathematics and Computation 16 The Ramanujan Journal 10 Advances in Difference Equations 9 Proceedings of the American Mathematical Society 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Mathematics of Computation 7 Bulletin of the Iranian Mathematical Society 7 Journal of Function Spaces 6 Turkish Journal of Mathematics 6 Filomat 6 Complex Variables and Elliptic Equations 6 Afrika Matematika 6 Axioms 5 Rocky Mountain Journal of Mathematics 5 International Journal of Mathematics and Mathematical Sciences 5 Bulletin des Sciences Mathématiques 5 Mathematics in Computer Science 5 Journal of Physics A: Mathematical and Theoretical 5 Tbilisi Mathematical Journal 4 Reports on Mathematical Physics 4 Advances in Applied Mathematics 4 Applied Mathematics Letters 4 Computational and Applied Mathematics 4 Boletín de la Sociedad Matemática Mexicana. Third Series 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Journal of Statistical Mechanics: Theory and Experiment 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Asian-European Journal of Mathematics 4 Journal of Ramanujan Society of Mathematics and Mathematical Sciences 3 Journal of Approximation Theory 3 Kyungpook Mathematical Journal 3 Results in Mathematics 3 Applied Numerical Mathematics 3 Numerical Algorithms 3 Linear Algebra and its Applications 3 Indagationes Mathematicae. New Series 3 Finite Fields and their Applications 3 Journal of Inequalities and Applications 3 Wuhan University Journal of Natural Sciences (WUJNS) 3 Communications of the Korean Mathematical Society 3 Acta Mathematica Sinica. English Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Computational Methods and Function Theory 3 Mediterranean Journal of Mathematics 3 International Journal of Number Theory 2 Bulletin of the Australian Mathematical Society 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Mathematical Physics 2 Ukrainian Mathematical Journal 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Quaestiones Mathematicae 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 The Journal of Geometric Analysis 2 Applicable Algebra in Engineering, Communication and Computing 2 The Journal of Analysis 2 Journal of Mathematical Chemistry 2 Nonlinear Dynamics 2 Vietnam Journal of Mathematics 2 Abstract and Applied Analysis 2 Honam Mathematical Journal 2 Matematychni Studiï 2 Journal of High Energy Physics 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Applied Mathematics E-Notes 2 Applications and Applied Mathematics 2 Frontiers of Mathematics in China 2 Journal of Mathematical Inequalities 2 Applicable Analysis and Discrete Mathematics 2 Acta Universitatis Sapientiae. Mathematica 2 Analysis and Mathematical Physics 2 Palestine Journal of Mathematics 2 Journal of Classical Analysis 2 Carpathian Mathematical Publications 2 Mathematics 2 International Journal of Applied and Computational Mathematics 2 AIMS Mathematics 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Discrete Applied Mathematics 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Journal of the Mechanics and Physics of Solids 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Physics Letters. A 1 Theoretical and Mathematical Physics 1 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 1 Advances in Mathematics 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Archiv der Mathematik 1 Automatica 1 Calcolo 1 Czechoslovak Mathematical Journal ...and 93 more Serials all top 5 Cited in 49 Fields 263 Special functions (33-XX) 136 Functions of a complex variable (30-XX) 81 Number theory (11-XX) 64 Combinatorics (05-XX) 60 Harmonic analysis on Euclidean spaces (42-XX) 57 Numerical analysis (65-XX) 40 Computer science (68-XX) 37 Difference and functional equations (39-XX) 26 Ordinary differential equations (34-XX) 25 Real functions (26-XX) 22 Approximations and expansions (41-XX) 19 Probability theory and stochastic processes (60-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 14 Quantum theory (81-XX) 13 Partial differential equations (35-XX) 13 Integral transforms, operational calculus (44-XX) 9 Statistics (62-XX) 7 Field theory and polynomials (12-XX) 7 Potential theory (31-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Operator theory (47-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Commutative algebra (13-XX) 5 Algebraic geometry (14-XX) 5 Functional analysis (46-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Systems theory; control (93-XX) 5 Information and communication theory, circuits (94-XX) 4 Differential geometry (53-XX) 4 Operations research, mathematical programming (90-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Integral equations (45-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 2 Measure and integration (28-XX) 2 Sequences, series, summability (40-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of deformable solids (74-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Citations by Year