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Author ID: koepf.wolfram-a Recent zbMATH articles by "Koepf, Wolfram A."
Published as: Koepf, Wolfram; Koepf, W.; Koepf, Wolfram A.
Homepage: http://www.mathematik.uni-kassel.de/~koepf/
External Links: MGP
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

Publications by Year

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 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