# zbMATH — the first resource for mathematics

## Ernst, Thomas

Compute Distance To:
 Author ID: ernst.thomas Published as: Ernst, T.; Ernst, Thomas Homepage: http://solnaschack.org/ernst/index.html External Links: ORCID
 Documents Indexed: 45 Publications since 2001, including 2 Books Reviewing Activity: 407 Reviews

#### Co-Authors

 45 single-authored
all top 5

#### Serials

 5 Advanced Studies in Contemporary Mathematics (Kyungshang) 3 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 3 Algebras, Groups and Geometries 3 Proceedings of the Jangjeon Mathematical Society 3 Axioms 3 Special Matrices 2 Rendiconti del Seminario Matematico della Università di Padova 2 Linear Algebra and its Applications 2 Communications of the Korean Mathematical Society 2 Proceedings of the Estonian Academy of Sciences 1 Hadronic Journal 1 Demonstratio Mathematica 1 The Journal of the Indian Mathematical Society. New Series 1 Le Matematiche 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Czechoslovak Journal of Physics 1 Journal of Nonlinear Mathematical Physics 1 Advances in Dynamical Systems and Applications 1 International Journal of Difference Equations 1 International Journal of Combinatorics 1 Journal of Discrete Mathematics 1 Journal of Operators
all top 5

#### Fields

 33 Special functions (33-XX) 18 Combinatorics (05-XX) 9 Number theory (11-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 3 Nonassociative rings and algebras (17-XX) 3 Difference and functional equations (39-XX) 2 History and biography (01-XX) 2 Operator theory (47-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH

28 Publications have been cited 171 times in 116 Documents Cited by Year
A comprehensive treatment of $$q$$-calculus. Zbl 1256.33001
Ernst, Thomas
2012
A method for $$q$$-calculus. Zbl 1041.33013
Ernst, Thomas
2003
$$q$$-Bernoulli and $$q$$-Euler polynomials, an umbral approach. Zbl 1116.39013
Ernst, Thomas
2006
The different tongues of $$q$$-calculus. Zbl 1161.33302
Ernst, Thomas
2008
Convergence aspects for $$q$$-Appell functions. I. Zbl 1294.33026
Ernst, Thomas
2014
An umbral approach to find $$q$$-analogues of matrix formulas. Zbl 1305.15039
Ernst, Thomas
2013
Examples of a $$q$$-umbral calculus. Zbl 1151.33009
Ernst, Thomas
2008
On the $$q$$-exponential of matrix $$q$$-Lie algebras. Zbl 1418.17066
Ernst, Thomas
2017
$$q$$-Leibniz functional matrices with application to $$q$$-Pascal and $$q$$-Stirling matrices. Zbl 1279.15013
Ernst, Thomas
2012
Multiplication formulas for $$q$$-Appell polynomials and the multiple $$q$$-power sums. Zbl 1352.05089
Ernst, Thomas
2016
$$q$$-Pascal and $$q$$-Wronskian matrices with implications to $$q$$-Appell polynomials. Zbl 1295.05060
Ernst, Thomas
2013
Convergence aspects for $$q$$-Lauricella functions I. Zbl 1254.33017
Ernst, Thomas
2012
Factorizations of $$q$$-Pascal matrices. Zbl 1317.15012
Ernst, Thomas
2014
$$Q$$-deformed matrix pseudo-groups. Zbl 1195.81078
Ernst, T.
2010
$$q$$-calculus as operational algebra. Zbl 1209.33015
Ernst, Thomas
2009
The generalized Cauchy determinants. Zbl 1117.15007
Ernst, Thomas
2006
$$q$$-generating functions for one and two variables. Zbl 1132.33335
Ernst, Thomas
2005
Generalized Cauchy-Vandermonde determinants. Zbl 1082.15013
Ernst, Thomas
2005
Expansion formulas for Apostol type $$q$$-Appell polynomials, and their special cases. Zbl 1420.11043
Ernst, Thomas
2018
Handbook for the $$q$$-analysis. Zbl 1373.33001
Ernst, Thomas
2017
On the symmetric $$q$$-Lauricella functions. Zbl 1347.33037
Ernst, Thomas
2016
Convergence aspects for generalizations of $$q$$-hypergeometric functions. Zbl 1318.33033
Ernst, Thomas
2015
On certain generalized $$q$$-Appell polynomial expansions. Zbl 1308.05021
Ernst, Thomas
2014
On the $$q$$-analogues of Srivastava’s triple hypergeometric functions. Zbl 1301.33019
Ernst, Thomas
2013
$$q$$-analogues of general reduction formulas by Buschman and Srivastava and an important $$q$$-operator reminding of MacRobert. Zbl 1229.33031
Ernst, Thomas
2011
Jacobi-Gudermann-Glaisher’s elliptic functions according to Heine. Zbl 1226.33011
Ernst, Thomas
2010
A renaissance for a $$q$$-umbral calculus. Zbl 1125.33014
Ernst, Thomas
2007
Some results for $$q$$-functions of many variables. Zbl 1167.33308
Ernst, Thomas
2004
Expansion formulas for Apostol type $$q$$-Appell polynomials, and their special cases. Zbl 1420.11043
Ernst, Thomas
2018
On the $$q$$-exponential of matrix $$q$$-Lie algebras. Zbl 1418.17066
Ernst, Thomas
2017
Handbook for the $$q$$-analysis. Zbl 1373.33001
Ernst, Thomas
2017
Multiplication formulas for $$q$$-Appell polynomials and the multiple $$q$$-power sums. Zbl 1352.05089
Ernst, Thomas
2016
On the symmetric $$q$$-Lauricella functions. Zbl 1347.33037
Ernst, Thomas
2016
Convergence aspects for generalizations of $$q$$-hypergeometric functions. Zbl 1318.33033
Ernst, Thomas
2015
Convergence aspects for $$q$$-Appell functions. I. Zbl 1294.33026
Ernst, Thomas
2014
Factorizations of $$q$$-Pascal matrices. Zbl 1317.15012
Ernst, Thomas
2014
On certain generalized $$q$$-Appell polynomial expansions. Zbl 1308.05021
Ernst, Thomas
2014
An umbral approach to find $$q$$-analogues of matrix formulas. Zbl 1305.15039
Ernst, Thomas
2013
$$q$$-Pascal and $$q$$-Wronskian matrices with implications to $$q$$-Appell polynomials. Zbl 1295.05060
Ernst, Thomas
2013
On the $$q$$-analogues of Srivastava’s triple hypergeometric functions. Zbl 1301.33019
Ernst, Thomas
2013
A comprehensive treatment of $$q$$-calculus. Zbl 1256.33001
Ernst, Thomas
2012
$$q$$-Leibniz functional matrices with application to $$q$$-Pascal and $$q$$-Stirling matrices. Zbl 1279.15013
Ernst, Thomas
2012
Convergence aspects for $$q$$-Lauricella functions I. Zbl 1254.33017
Ernst, Thomas
2012
$$q$$-analogues of general reduction formulas by Buschman and Srivastava and an important $$q$$-operator reminding of MacRobert. Zbl 1229.33031
Ernst, Thomas
2011
$$Q$$-deformed matrix pseudo-groups. Zbl 1195.81078
Ernst, T.
2010
Jacobi-Gudermann-Glaisher’s elliptic functions according to Heine. Zbl 1226.33011
Ernst, Thomas
2010
$$q$$-calculus as operational algebra. Zbl 1209.33015
Ernst, Thomas
2009
The different tongues of $$q$$-calculus. Zbl 1161.33302
Ernst, Thomas
2008
Examples of a $$q$$-umbral calculus. Zbl 1151.33009
Ernst, Thomas
2008
A renaissance for a $$q$$-umbral calculus. Zbl 1125.33014
Ernst, Thomas
2007
$$q$$-Bernoulli and $$q$$-Euler polynomials, an umbral approach. Zbl 1116.39013
Ernst, Thomas
2006
The generalized Cauchy determinants. Zbl 1117.15007
Ernst, Thomas
2006
$$q$$-generating functions for one and two variables. Zbl 1132.33335
Ernst, Thomas
2005
Generalized Cauchy-Vandermonde determinants. Zbl 1082.15013
Ernst, Thomas
2005
Some results for $$q$$-functions of many variables. Zbl 1167.33308
Ernst, Thomas
2004
A method for $$q$$-calculus. Zbl 1041.33013
Ernst, Thomas
2003
all top 5