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: 132 Publications since 1983, including 7 Books and 9 Additional arXiv Preprints 17 Contributions as Editor · 2 Further Contributions Reviewing Activity: 274 Reviews Co-Authors: 65 Co-Authors with 96 Joint Publications 1,862 Co-Co-Authors all top 5 Co-Authors 53 single-authored 21 Masjed-Jamei, Mohammad 16 Foupouagnigni, Mama 10 Schmersau, Dieter 10 Vorozhtsov, Evgenii V. 9 Gerdt, Vladimir Petrovich 9 Tcheutia, Daniel Duviol 8 Seiler, Werner M. 7 Sadjang, P. Njionou 5 Ronveaux, André 4 Jooste, Alta S. 4 Larcombe, Peter J. 4 Mayr, Ernst W. 3 Chaggara, Hamza 3 Fennessey, Eric J. 3 Fouda, J. S. Armand Eyebe 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 Gruntz, Dominik 1 Heinle, Albert 1 Hochmuth, Reinhard 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 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 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 73 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) 8 Combinatorics (05-XX) 8 Difference and functional equations (39-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 88 Publications have been cited 830 times in 547 Documents Cited by ▼ Year ▼ On the Fekete-Szegő problem for close-to-convex functions. Zbl 0635.30019 Koepf, Wolfram 81 1987 Hypergeometric summation. An algorithmic approach to summation and special function identities. Zbl 0909.33001 Koepf, Wolfram 80 1998 Representations of orthogonal polynomials. Zbl 0907.65017 Koepf, Wolfram; Schmersau, Dieter 56 1998 Hypergeometric summation. An algorithmic approach to summation and special function identities. 2nd ed. Zbl 1296.33002 Koepf, Wolfram 55 2014 On the Fekete-Szegö problem for close-to-convex functions. II. Zbl 0635.30020 Koepf, Wolfram 35 1987 On moments of classical orthogonal polynomials. Zbl 1321.33022 Njionou Sadjang, P.; Koepf, W.; Foupouagnigni, M. 26 2015 Recurrence equations and their classical orthogonal polynomial solutions. Zbl 1031.33007 Koepf, Wolfram; Schmersau, Dieter 25 2002 Coefficients of symmetric functions of bounded boundary rotation. Zbl 0669.30007 Koepf, Wolfram 23 1989 Algorithms for \(q\)-hypergeometric summation in computer algebra. Zbl 0946.65008 Böing, Harald; Koepf, Wolfram 21 1999 A generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to it. Zbl 1099.33007 Koepf, Wolfram; Masjed-Jamei, Mohammad 21 2006 On linearization coefficients of Jacobi polynomials. Zbl 1189.33013 Chaggara, Hamza; Koepf, Wolfram 20 2010 Symbolic computation of some power-trigonometric series. Zbl 1356.33013 Masjed-Jamei, Mohammad; Koepf, Wolfram 20 2017 Connection and linearization coefficients of the Askey-Wilson polynomials. Zbl 1273.33003 Foupouagnigni, M.; Koepf, W.; Tcheutia, D. D. 17 2013 A new type of Euler polynomials and numbers. Zbl 1422.11051 Masjed-Jamei, M.; Beyki, M. R.; Koepf, W. 17 2018 On solutions of holonomic divided-difference equations on nonuniform lattices. Zbl 1301.33024 Foupouagnigni, Mama; Koepf, Wolfram; Kenfack-Nangho, Maurice; Mboutngam, Salifou 15 2013 Two classes of special functions using Fourier transforms of some finite classes of classical orthogonal polynomials. Zbl 1125.33005 Koepf, Wolfram; Masjed-Jamei, Mohammad 13 2007 Algorithms for \(m\)-fold hypergeometric summation. Zbl 0851.68049 Koepf, Wolfram 13 1995 Power series in computer algebra. Zbl 0758.30026 Koepf, Wolfram 13 1992 On incomplete symmetric orthogonal polynomials of Jacobi type. Zbl 1206.33010 Masjed-Jamei, Mohammad; Koepf, Wolfram 13 2010 On linearization and connection coefficients for generalized Hermite polynomials. Zbl 1231.33010 Chaggara, Hamza; Koepf, Wolfram 12 2011 Identities for families of orthogonal polynomials and special functions. Zbl 0895.33002 Koepf, Wolfram 12 1997 Factorization of fourth-order differential equations for perturbed classical orthogonal polynomials. Zbl 1052.33006 Foupouagnigni, M.; Koepf, W.; Ronveaux, A. 11 2004 On incomplete symmetric orthogonal polynomials of Laguerre type. Zbl 1220.33011 Masjed-Jamei, Mohammad; Koepf, Wolfram 10 2011 Fourth order \(q\)-difference equation for the first associated of the \(q\)-classical orthogonal polynomials. Zbl 0952.33006 Foupouagnigni, M.; Ronveaux, A.; Koepf, W. 10 1999 Representations of \(q\)-orthogonal polynomials. Zbl 1247.33015 Foupouagnigni, M.; Koepf, W.; Tcheutia, D. D.; Sadjang, P. Njionou 10 2012 An extension of the Euler-Maclaurin quadrature formula using a parametric type of Bernoulli polynomials. Zbl 1461.11043 Masjed-Jamei, Mohammad; Beyki, M. R.; Koepf, Wolfram 10 2019 Two classes of special functions using Fourier transforms of generalized ultraspherical and generalized Hermite polynomials. Zbl 1246.33005 Masjed-Jamei, Mohammad; Koepf, Wolfram 8 2012 Duplication coefficients via generating functions. Zbl 1120.33005 Chaggara, Hamza; Koepf, Wolfram 7 2007 A generalization of Student’s \(t\)-distribution from the viewpoint of special functions. Zbl 1109.60010 Koepf, Wolfram; Masjed-Jamei, Mohammad 6 2006 The parity of the number of irreducible factors for some pentanomials. Zbl 1219.11179 Koepf, Wolfram; Kim, Ryul 6 2009 Divided-difference equation, inversion, connection, multiplication and linearization formulae of the continuous Hahn and the Meixner-Pollaczek polynomials. Zbl 1382.33008 Tcheutia, D. D.; Njionou Sadjang, P.; Koepf, W.; Foupouagnigni, M. 6 2018 On a structure formula for classical \(q\)-orthogonal polynomials. Zbl 1004.33008 Koepf, Wolfram; Schmersau, Dieter 6 2001 On fourth-order difference equations for orthogonal polynomials of a discrete variable: Derivation, factorization and solutions. Zbl 1062.33010 Foupouagnigni, M.; Koepf, W.; Ronveaux, A. 6 2003 On structure formulas for Wilson polynomials. Zbl 1331.33011 Sadjang, P. Njionou; Koepf, W.; Foupouagnigni, M. 6 2015 \( m\)-fold hypergeometric solutions of linear recurrence equations revisited. Zbl 1262.68190 Horn, Peter; Koepf, Wolfram; Sprenger, Torsten 6 2012 Close-to-convex functions and linear-invariant families. Zbl 0508.30016 Koepf, Wolfram 5 1983 Fourth-order difference equation for the associated classical discrete orthogonal polynomials. Zbl 0928.33006 Foupouagnigni, M.; Koepf, W.; Ronveaux, A. 5 1998 A generic formula for the values at the boundary points of monic classical orthogonal polynomials. Zbl 1091.33008 Koepf, Wolfram; Masjed-Jamei, Mohammad 5 2006 Mixed recurrence equations and interlacing properties for zeros of sequences of classical \(q\)-orthogonal polynomials. Zbl 1379.65014 Tcheutia, D. D.; Jooste, A. S.; Koepf, W. 5 2018 On a new class of Laplace-type integrals involving generalized hypergeometric functions. Zbl 1432.33004 Koepf, Wolfram; Kim, Insuk; Rathie, Arjun K. 5 2019 Properties of \(q\)-holonomic functions. Zbl 1128.39015 Koepf, Wolfram; Rajković, Predrag M.; Marinković, Sladjana D. 4 2007 Parity of the number of irreducible factors for composite polynomials. Zbl 1200.11092 Kim, Ryul; Koepf, Wolfram 4 2010 Algorithmic development of power series. Zbl 0925.68242 Koepf, Wolfram 4 1993 Bounded nonvanishing functions and Bateman functions. Zbl 0823.30009 Koepf, Wolfram; Schmersau, Dieter 4 1994 Algorithmic determination of \(q\)-power series for \(q\)-holonomic functions. Zbl 1245.33016 Sprenger, Torsten; Koepf, Wolfram 4 2012 Computing the real zeros of hypergeometric functions. Zbl 1071.33017 Gil, Amparo; Koepf, Wolfram; Segura, Javier 4 2004 Classical families of univalent functions in the Hornich space. Zbl 0572.30009 Koepf, Wolfram 4 1985 Power series, Bieberbach conjecture and the de Branges and Weinstein functions. Zbl 1072.68678 Koepf, Wolfram 4 2003 Coefficients of multiplication formulas for classical orthogonal polynomials. Zbl 1334.33028 Tcheutia, D. D.; Foupouagnigni, M.; Koepf, W.; Sadjang, P. Njionou 4 2016 An extension of the Taylor series expansion by using the Bell polynomials. Zbl 1423.41046 Masjed-Jamei, Mohammad; Moalemi, Zahra; Koepf, Wolfram; Srivastava, H. M. 4 2019 On close-to-convex functions and linearly accessible domains. Zbl 0679.30007 Koepf, Wolfram 3 1989 Bieberbach’s conjecture, the de Branges and Weinstein functions and the Askey-Gasper inequality. Zbl 1186.30001 Koepf, Wolfram 3 2007 Computer algebra. An algorithmic oriented introduction. (Computeralgebra. Eine algorithmisch orientierte Einführung.) Zbl 1161.68881 Koepf, Wolfram 3 2006 Solving differential equations in terms of Bessel functions. Zbl 1191.33002 Debeerst, Ruben; von Hoeij, Mark; Koepf, Wolfram 3 2008 On the De Branges theorem. Zbl 0882.30010 Koepf, Wolfram; Schmersau, Dieter 3 1996 Taylor polynomials of implicit functions, of inverse functions, and of solutions of ordinary differential equations. Zbl 0817.41001 Koepf, Wolfram 3 1994 The ordinal Kolmogorov-Sinai entropy: a generalized approximation. Zbl 1487.37006 Eyebe Fouda, J. S. Armand; Koepf, Wolfram; Jacquir, Sabir 3 2017 Some summation theorems for generalized hypergeometric functions. Zbl 1432.33005 Masjed-Jamei, Mohammad; Koepf, Wolfram 3 2018 Quasi-orthogonality of some hypergeometric and \(q\)-hypergeometric polynomials. Zbl 1391.33012 Tcheutia, Daniel D.; Jooste, Alta S.; Koepf, Wolfram 3 2018 Numeric versus symbolic computation. Zbl 0954.68521 Koepf, Wolfram 2 1999 Orthogonal polynomials and computer algebra. Zbl 0955.68131 Koepf, Wolfram 2 1999 Software for the algorithmic work with orthogonal polynomials and special functions. Zbl 0946.33001 Koepf, Wolfram 2 1999 The algebra of holonomic equations. Zbl 0962.68181 Koepf, Wolfram 2 1997 REDUCE package for the indefinite and definite summation. Zbl 1097.65554 Koepf, Wolfram 2 1995 Integral proofs of two alternating sign binomial coefficient identities. Zbl 1064.05024 Larcombe, Peter J.; Fennessey, Eric J.; Koepf, Wolfram A. 2 2004 On two conjectures of M. S. Robertson. Zbl 0745.30004 Koepf, Wolfram 2 1991 On the interplay between geometrical and analytical properties of functions of bounded boundary rotation. Zbl 0749.30004 Koepf, Wolfram 2 1991 Computer algebra algorithms for orthogonal polynomials and special functions. Zbl 1031.33014 Koepf, Wolfram 2 2003 Detecting regular dynamics from time series using permutations slopes. Zbl 1457.37101 Eyebe Fouda, J. S. Armand; Koepf, Wolfram 2 2015 Two finite classes of orthogonal functions. Zbl 1292.42017 Masjed-Jamei, Mohammad; Koepf, Wolfram 2 2013 On the solutions of holonomic third-order linear irreducible differential equations in terms of hypergeometric functions. Zbl 1454.34005 Mouafo Wouodjié, Merlin; Koepf, Wolfram 2 2020 Two finite hypergeometric sequences of discrete orthogonal polynomials. Zbl 1407.42015 Masjed-Jamei, Mohammad; Koepf, Wolfram 2 2018 Close-to-convex functions, univalence criteria and quasiconformal extension. Zbl 0649.30011 Koepf, W. 1 1986 Extremal problems for close-to-convex functions. Zbl 0663.30019 Koepf, Wolfram 1 1988 The real numbers as foundation and component of analysis. (Die reellen Zahlen als Fundament und Baustein der Analysis.) Zbl 0949.26001 Schmersau, Dieter; Koepf, Wolfram 1 2000 Weinstein’s functions and the Askey-Gasper identity. Zbl 0906.30017 Koepf, Wolfram; Schmersau, Dieter 1 1997 Complexity measure by ordinal matrix growth modeling. Zbl 1384.37109 Fouda, J. S. Armand Eyebe; Koepf, Wolfram 1 2017 A uniqueness theorem for functions of positive real part. Zbl 0929.30011 Koepf, Wolfram 1 1994 Orthogonal polynomials and recurrence equations, operator equations and factorization. Zbl 1176.33012 Koepf, Wolfram 1 2007 On Gould’s identity No. 1.45. Zbl 1060.05012 Larcombe, Peter J.; Fennessey, Eric J.; Koepf, Wolfram A.; French, David R. 1 2003 Divisibility of trinomials by irreducible polynomials over \(\mathbb F_2\). Zbl 1232.11125 Kim, Ryul; Koepf, Wolfram 1 2009 On nonvanishing univalent functions with real coefficients. Zbl 0599.30030 Koepf, Wolfram 1 1986 Extrempunkte und Stützpunkte in Familien nichtverschwindender schlichter Funktionen. (Extreme points and support points in families of nonvanishing univalent functions). Zbl 0622.30002 Koepf, Wolfram 1 1987 Parallel accessible domains and domains that are convex in some direction. Zbl 0787.30008 Koepf, 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 0815.30013 Koepf, Wolfram 1 1994 Computer algebra method for orthogonal polynomials. Zbl 1127.65015 Koepf, W. 1 2007 Inner bounds for the extreme zeros of \(_3F_2\) hypergeometric polynomials. Zbl 1445.33057 Jooste, A.; Sadjang, P. Njionou; Koepf, W. 1 2017 On exponential and trigonometric functions on nonuniform lattices. Zbl 1431.33019 Kenfack Nangho, M.; Foupouagnigni, M.; Koepf, W. 1 2019 On the solutions of holonomic third-order linear irreducible differential equations in terms of hypergeometric functions. Zbl 1454.34005 Mouafo Wouodjié, Merlin; Koepf, Wolfram 2 2020 An extension of the Euler-Maclaurin quadrature formula using a parametric type of Bernoulli polynomials. Zbl 1461.11043 Masjed-Jamei, Mohammad; Beyki, M. R.; Koepf, Wolfram 10 2019 On a new class of Laplace-type integrals involving generalized hypergeometric functions. Zbl 1432.33004 Koepf, Wolfram; Kim, Insuk; Rathie, Arjun K. 5 2019 An extension of the Taylor series expansion by using the Bell polynomials. Zbl 1423.41046 Masjed-Jamei, Mohammad; Moalemi, Zahra; Koepf, Wolfram; Srivastava, H. M. 4 2019 On exponential and trigonometric functions on nonuniform lattices. Zbl 1431.33019 Kenfack Nangho, M.; Foupouagnigni, M.; Koepf, W. 1 2019 A new type of Euler polynomials and numbers. Zbl 1422.11051 Masjed-Jamei, M.; Beyki, M. R.; Koepf, W. 17 2018 Divided-difference equation, inversion, connection, multiplication and linearization formulae of the continuous Hahn and the Meixner-Pollaczek polynomials. Zbl 1382.33008 Tcheutia, D. D.; Njionou Sadjang, P.; Koepf, W.; Foupouagnigni, M. 6 2018 Mixed recurrence equations and interlacing properties for zeros of sequences of classical \(q\)-orthogonal polynomials. Zbl 1379.65014 Tcheutia, D. D.; Jooste, A. S.; Koepf, W. 5 2018 Some summation theorems for generalized hypergeometric functions. Zbl 1432.33005 Masjed-Jamei, Mohammad; Koepf, Wolfram 3 2018 Quasi-orthogonality of some hypergeometric and \(q\)-hypergeometric polynomials. Zbl 1391.33012 Tcheutia, Daniel D.; Jooste, Alta S.; Koepf, Wolfram 3 2018 Two finite hypergeometric sequences of discrete orthogonal polynomials. Zbl 1407.42015 Masjed-Jamei, Mohammad; Koepf, Wolfram 2 2018 Symbolic computation of some power-trigonometric series. Zbl 1356.33013 Masjed-Jamei, Mohammad; Koepf, Wolfram 20 2017 The ordinal Kolmogorov-Sinai entropy: a generalized approximation. Zbl 1487.37006 Eyebe Fouda, J. S. Armand; Koepf, Wolfram; Jacquir, Sabir 3 2017 Complexity measure by ordinal matrix growth modeling. Zbl 1384.37109 Fouda, J. S. Armand Eyebe; Koepf, Wolfram 1 2017 Inner bounds for the extreme zeros of \(_3F_2\) hypergeometric polynomials. Zbl 1445.33057 Jooste, A.; Sadjang, P. Njionou; Koepf, W. 1 2017 Coefficients of multiplication formulas for classical orthogonal polynomials. Zbl 1334.33028 Tcheutia, D. D.; Foupouagnigni, M.; Koepf, W.; Sadjang, P. Njionou 4 2016 On moments of classical orthogonal polynomials. Zbl 1321.33022 Njionou Sadjang, P.; Koepf, W.; Foupouagnigni, M. 26 2015 On structure formulas for Wilson polynomials. Zbl 1331.33011 Sadjang, P. Njionou; Koepf, W.; Foupouagnigni, M. 6 2015 Detecting regular dynamics from time series using permutations slopes. Zbl 1457.37101 Eyebe Fouda, J. S. Armand; Koepf, Wolfram 2 2015 Hypergeometric summation. An algorithmic approach to summation and special function identities. 2nd ed. Zbl 1296.33002 Koepf, Wolfram 55 2014 Connection and linearization coefficients of the Askey-Wilson polynomials. Zbl 1273.33003 Foupouagnigni, M.; Koepf, W.; Tcheutia, D. D. 17 2013 On solutions of holonomic divided-difference equations on nonuniform lattices. Zbl 1301.33024 Foupouagnigni, Mama; Koepf, Wolfram; Kenfack-Nangho, Maurice; Mboutngam, Salifou 15 2013 Two finite classes of orthogonal functions. Zbl 1292.42017 Masjed-Jamei, Mohammad; Koepf, Wolfram 2 2013 Representations of \(q\)-orthogonal polynomials. Zbl 1247.33015 Foupouagnigni, 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 1246.33005 Masjed-Jamei, Mohammad; Koepf, Wolfram 8 2012 \( m\)-fold hypergeometric solutions of linear recurrence equations revisited. Zbl 1262.68190 Horn, Peter; Koepf, Wolfram; Sprenger, Torsten 6 2012 Algorithmic determination of \(q\)-power series for \(q\)-holonomic functions. Zbl 1245.33016 Sprenger, Torsten; Koepf, Wolfram 4 2012 On linearization and connection coefficients for generalized Hermite polynomials. Zbl 1231.33010 Chaggara, Hamza; Koepf, Wolfram 12 2011 On incomplete symmetric orthogonal polynomials of Laguerre type. Zbl 1220.33011 Masjed-Jamei, Mohammad; Koepf, Wolfram 10 2011 On linearization coefficients of Jacobi polynomials. Zbl 1189.33013 Chaggara, Hamza; Koepf, Wolfram 20 2010 On incomplete symmetric orthogonal polynomials of Jacobi type. Zbl 1206.33010 Masjed-Jamei, Mohammad; Koepf, Wolfram 13 2010 Parity of the number of irreducible factors for composite polynomials. Zbl 1200.11092 Kim, Ryul; Koepf, Wolfram 4 2010 The parity of the number of irreducible factors for some pentanomials. Zbl 1219.11179 Koepf, Wolfram; Kim, Ryul 6 2009 Divisibility of trinomials by irreducible polynomials over \(\mathbb F_2\). Zbl 1232.11125 Kim, Ryul; Koepf, Wolfram 1 2009 Solving differential equations in terms of Bessel functions. Zbl 1191.33002 Debeerst, 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 1125.33005 Koepf, Wolfram; Masjed-Jamei, Mohammad 13 2007 Duplication coefficients via generating functions. Zbl 1120.33005 Chaggara, Hamza; Koepf, Wolfram 7 2007 Properties of \(q\)-holonomic functions. Zbl 1128.39015 Koepf, Wolfram; Rajković, Predrag M.; Marinković, Sladjana D. 4 2007 Bieberbach’s conjecture, the de Branges and Weinstein functions and the Askey-Gasper inequality. Zbl 1186.30001 Koepf, Wolfram 3 2007 Orthogonal polynomials and recurrence equations, operator equations and factorization. Zbl 1176.33012 Koepf, Wolfram 1 2007 Computer algebra method for orthogonal polynomials. Zbl 1127.65015 Koepf, W. 1 2007 A generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to it. Zbl 1099.33007 Koepf, Wolfram; Masjed-Jamei, Mohammad 21 2006 A generalization of Student’s \(t\)-distribution from the viewpoint of special functions. Zbl 1109.60010 Koepf, Wolfram; Masjed-Jamei, Mohammad 6 2006 A generic formula for the values at the boundary points of monic classical orthogonal polynomials. Zbl 1091.33008 Koepf, Wolfram; Masjed-Jamei, Mohammad 5 2006 Computer algebra. An algorithmic oriented introduction. (Computeralgebra. Eine algorithmisch orientierte Einführung.) Zbl 1161.68881 Koepf, Wolfram 3 2006 Factorization of fourth-order differential equations for perturbed classical orthogonal polynomials. Zbl 1052.33006 Foupouagnigni, M.; Koepf, W.; Ronveaux, A. 11 2004 Computing the real zeros of hypergeometric functions. Zbl 1071.33017 Gil, Amparo; Koepf, Wolfram; Segura, Javier 4 2004 Integral proofs of two alternating sign binomial coefficient identities. Zbl 1064.05024 Larcombe, 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 1062.33010 Foupouagnigni, M.; Koepf, W.; Ronveaux, A. 6 2003 Power series, Bieberbach conjecture and the de Branges and Weinstein functions. Zbl 1072.68678 Koepf, Wolfram 4 2003 Computer algebra algorithms for orthogonal polynomials and special functions. Zbl 1031.33014 Koepf, Wolfram 2 2003 On Gould’s identity No. 1.45. Zbl 1060.05012 Larcombe, Peter J.; Fennessey, Eric J.; Koepf, Wolfram A.; French, David R. 1 2003 Recurrence equations and their classical orthogonal polynomial solutions. Zbl 1031.33007 Koepf, Wolfram; Schmersau, Dieter 25 2002 On a structure formula for classical \(q\)-orthogonal polynomials. Zbl 1004.33008 Koepf, Wolfram; Schmersau, Dieter 6 2001 The real numbers as foundation and component of analysis. (Die reellen Zahlen als Fundament und Baustein der Analysis.) Zbl 0949.26001 Schmersau, Dieter; Koepf, Wolfram 1 2000 Algorithms for \(q\)-hypergeometric summation in computer algebra. Zbl 0946.65008 Böing, Harald; Koepf, Wolfram 21 1999 Fourth order \(q\)-difference equation for the first associated of the \(q\)-classical orthogonal polynomials. Zbl 0952.33006 Foupouagnigni, M.; Ronveaux, A.; Koepf, W. 10 1999 Numeric versus symbolic computation. Zbl 0954.68521 Koepf, Wolfram 2 1999 Orthogonal polynomials and computer algebra. Zbl 0955.68131 Koepf, Wolfram 2 1999 Software for the algorithmic work with orthogonal polynomials and special functions. Zbl 0946.33001 Koepf, Wolfram 2 1999 Hypergeometric summation. An algorithmic approach to summation and special function identities. Zbl 0909.33001 Koepf, Wolfram 80 1998 Representations of orthogonal polynomials. Zbl 0907.65017 Koepf, Wolfram; Schmersau, Dieter 56 1998 Fourth-order difference equation for the associated classical discrete orthogonal polynomials. Zbl 0928.33006 Foupouagnigni, M.; Koepf, W.; Ronveaux, A. 5 1998 Identities for families of orthogonal polynomials and special functions. Zbl 0895.33002 Koepf, Wolfram 12 1997 The algebra of holonomic equations. Zbl 0962.68181 Koepf, Wolfram 2 1997 Weinstein’s functions and the Askey-Gasper identity. Zbl 0906.30017 Koepf, Wolfram; Schmersau, Dieter 1 1997 On the De Branges theorem. Zbl 0882.30010 Koepf, Wolfram; Schmersau, Dieter 3 1996 Algorithms for \(m\)-fold hypergeometric summation. Zbl 0851.68049 Koepf, Wolfram 13 1995 REDUCE package for the indefinite and definite summation. Zbl 1097.65554 Koepf, Wolfram 2 1995 Bounded nonvanishing functions and Bateman functions. Zbl 0823.30009 Koepf, Wolfram; Schmersau, Dieter 4 1994 Taylor polynomials of implicit functions, of inverse functions, and of solutions of ordinary differential equations. Zbl 0817.41001 Koepf, Wolfram 3 1994 A uniqueness theorem for functions of positive real part. Zbl 0929.30011 Koepf, Wolfram 1 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 0815.30013 Koepf, Wolfram 1 1994 Algorithmic development of power series. Zbl 0925.68242 Koepf, Wolfram 4 1993 Power series in computer algebra. Zbl 0758.30026 Koepf, Wolfram 13 1992 Parallel accessible domains and domains that are convex in some direction. Zbl 0787.30008 Koepf, W. 1 1992 On two conjectures of M. S. Robertson. Zbl 0745.30004 Koepf, Wolfram 2 1991 On the interplay between geometrical and analytical properties of functions of bounded boundary rotation. Zbl 0749.30004 Koepf, Wolfram 2 1991 Coefficients of symmetric functions of bounded boundary rotation. Zbl 0669.30007 Koepf, Wolfram 23 1989 On close-to-convex functions and linearly accessible domains. Zbl 0679.30007 Koepf, Wolfram 3 1989 Extremal problems for close-to-convex functions. Zbl 0663.30019 Koepf, Wolfram 1 1988 On the Fekete-Szegő problem for close-to-convex functions. Zbl 0635.30019 Koepf, Wolfram 81 1987 On the Fekete-Szegö problem for close-to-convex functions. II. Zbl 0635.30020 Koepf, Wolfram 35 1987 Extrempunkte und Stützpunkte in Familien nichtverschwindender schlichter Funktionen. (Extreme points and support points in families of nonvanishing univalent functions). Zbl 0622.30002 Koepf, Wolfram 1 1987 Close-to-convex functions, univalence criteria and quasiconformal extension. Zbl 0649.30011 Koepf, W. 1 1986 On nonvanishing univalent functions with real coefficients. Zbl 0599.30030 Koepf, Wolfram 1 1986 Classical families of univalent functions in the Hornich space. Zbl 0572.30009 Koepf, Wolfram 4 1985 Close-to-convex functions and linear-invariant families. Zbl 0508.30016 Koepf, Wolfram 5 1983 all cited Publications top 5 cited Publications all top 5 Cited by 624 Authors 56 Koepf, Wolfram A. 35 Masjed-Jamei, Mohammad 22 Foupouagnigni, Mama 21 Area, Iván 19 Abd-Elhameed, Waleed Mohamed 14 Guo, Victor J. W. 14 Ronveaux, André 13 Srivastava, Hari Mohan 13 Youssri, Youssri H. 12 Simsek, Yilmaz 11 Tcheutia, Daniel Duviol 9 Godoy, Eduardo Paciência 8 Aktaş, Rabia 8 Chaggara, Hamza 8 Sadjang, P. Njionou 7 Chen, William Yong-Chuan 7 Doha, Eid H. 7 Orhan, Halit 7 Rutka, Przemysław 7 Smarzewski, Ryszard 6 Ahmed, Hany M. 6 Gochhayat, Priyabrat 6 Kilar, Neslihan 6 Schmersau, Dieter 6 Xu, Qinghua 6 Zarzo, Alejandro 5 Bansal, Deepak 5 Kenfack-Nangho, Maurice 5 Liu, Taishun 5 Mboutngam, Salifou 5 Mu, Yanping 5 Ponnusamy, Saminathan 5 Sahoo, Ashok Kumar 5 Segura, Javier 4 Beyki, M. R. 4 Kim, Taekyun 4 Kowalczyk, Bogumiła 4 Kumar, Virendra 4 Lecko, Adam 4 Liu, Jicai 4 Maharana, Sudhananda 4 Milovanović, Gradimir V. 4 Motamednezhad, Ahmad 4 Patel, Jagannath 4 Prajapat, Jugal Kishore 4 Răducanu, Dorina 4 Salehian, Safa 4 Tang, Huo 4 Vasudevarao, Allu 4 Wanas, Abbas Kareem 3 Alhaidari, Abdulaziz D. 3 Ali, Md Firoz 3 Atta, Ahmed G. 3 Bhowmik, Bappaditya 3 Bulut, Serap 3 Çağlar, Murat 3 Cheng, Jinfa 3 da Rocha, Zélia 3 Dağli, Muhammet Cihat 3 Darus, Maslina 3 Dominici, Diego Ernesto 3 Güldoğan, Esra 3 Hamada, Hidetaka 3 Hou, Qinghu 3 Jooste, Alta S. 3 Kar, Pinaki Prasad 3 Khan, Shahid Ali 3 Kim, Dae San 3 Kıymaz, Onur 3 Marcellán Español, Francisco 3 Marinković, Sladjana D. 3 Murugusundaramoorthy, Gangadharan 3 Panigrahi, Trailokya 3 Rajković, Predrag M. 3 Rasila, Antti 3 Rathie, Arjun Kumar 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 3 Zeng, Jiang 2 Abramov, Sergeĭ Aleksandrovich 2 Ali, Afnan 2 Altinkaya, Şahsene 2 Arikan, Hava 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 Choi, Junesang 2 Cohl, Howard Saul 2 Costas-Santos, Roberto S. 2 Crandall, Richard E. ...and 524 more Authors all top 5 Cited in 198 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 18 The Ramanujan Journal 16 Journal of Mathematical Analysis and Applications 16 Applied Mathematics and Computation 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 Computational and Applied Mathematics 5 Bulletin des Sciences Mathématiques 5 Mathematics in Computer Science 5 Journal of Physics A: Mathematical and Theoretical 5 Tbilisi Mathematical Journal 5 Journal of Ramanujan Society of Mathematics and Mathematical Sciences 4 Reports on Mathematical Physics 4 Results in Mathematics 4 Advances in Applied Mathematics 4 Applied Mathematics Letters 4 Numerical Algorithms 4 Boletín de la Sociedad Matemática Mexicana. Third Series 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Mediterranean Journal of Mathematics 4 Journal of Statistical Mechanics: Theory and Experiment 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Asian-European Journal of Mathematics 3 Journal of Approximation Theory 3 Kyungpook Mathematical Journal 3 Applied Numerical Mathematics 3 Linear Algebra and its Applications 3 Indagationes Mathematicae. New Series 3 Finite Fields and their Applications 3 Journal of Mathematical Chemistry 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 International Journal of Number Theory 3 Applicable Analysis and Discrete Mathematics 3 Iranian Journal of Mathematical Sciences and Informatics 3 Journal of Classical Analysis 2 Bulletin of the Australian Mathematical Society 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Ukrainian Mathematical Journal 2 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Quaestiones Mathematicae 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Studies in Applied Mathematics 2 The Journal of Geometric Analysis 2 Applicable Algebra in Engineering, Communication and Computing 2 The Journal of Analysis 2 Nonlinear Dynamics 2 Vietnam Journal of Mathematics 2 Abstract and Applied Analysis 2 Honam Mathematical Journal 2 Matematychni Studiï 2 Mathematica Moravica 2 Analysis (München) 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 Acta Universitatis Sapientiae. Mathematica 2 Analysis and Mathematical Physics 2 Palestine Journal of Mathematics 2 Mathematical Sciences 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 the Franklin Institute 1 Journal of Mathematical Biology 1 Journal of the Mechanics and Physics of Solids 1 Journal of Statistical Physics 1 Physica A 1 Physics Letters. A 1 Theoretical and Mathematical Physics ...and 98 more Serials all top 5 Cited in 50 Fields 276 Special functions (33-XX) 140 Functions of a complex variable (30-XX) 89 Number theory (11-XX) 71 Combinatorics (05-XX) 61 Numerical analysis (65-XX) 60 Harmonic analysis on Euclidean spaces (42-XX) 40 Difference and functional equations (39-XX) 40 Computer science (68-XX) 26 Ordinary differential equations (34-XX) 25 Real functions (26-XX) 24 Approximations and expansions (41-XX) 20 Probability theory and stochastic processes (60-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 17 Partial differential equations (35-XX) 16 Quantum theory (81-XX) 14 Integral transforms, operational calculus (44-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Statistics (62-XX) 8 Operator theory (47-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Field theory and polynomials (12-XX) 7 Potential theory (31-XX) 6 Commutative algebra (13-XX) 6 Systems theory; control (93-XX) 5 Algebraic geometry (14-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Functional analysis (46-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Information and communication theory, circuits (94-XX) 4 Differential geometry (53-XX) 4 Operations research, mathematical programming (90-XX) 3 Measure and integration (28-XX) 3 Sequences, series, summability (40-XX) 3 Integral equations (45-XX) 2 Associative rings and algebras (16-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-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 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Citations by Year