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Ernst, Thomas

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Author ID: ernst.thomas Recent zbMATH articles by "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

Publications by Year

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
71
2012
A method for \(q\)-calculus. Zbl 1041.33013
Ernst, Thomas
22
2003
\(q\)-Bernoulli and \(q\)-Euler polynomials, an umbral approach. Zbl 1116.39013
Ernst, Thomas
14
2006
The different tongues of \(q\)-calculus. Zbl 1161.33302
Ernst, Thomas
10
2008
Convergence aspects for \(q\)-Appell functions. I. Zbl 1294.33026
Ernst, Thomas
5
2014
An umbral approach to find \(q\)-analogues of matrix formulas. Zbl 1305.15039
Ernst, Thomas
5
2013
Examples of a \(q\)-umbral calculus. Zbl 1151.33009
Ernst, Thomas
5
2008
On the \(q\)-exponential of matrix \(q\)-Lie algebras. Zbl 1418.17066
Ernst, Thomas
4
2017
\(q\)-Leibniz functional matrices with application to \(q\)-Pascal and \(q\)-Stirling matrices. Zbl 1279.15013
Ernst, Thomas
4
2012
Multiplication formulas for \(q\)-Appell polynomials and the multiple \(q\)-power sums. Zbl 1352.05089
Ernst, Thomas
3
2016
\(q\)-Pascal and \(q\)-Wronskian matrices with implications to \(q\)-Appell polynomials. Zbl 1295.05060
Ernst, Thomas
3
2013
Convergence aspects for \(q\)-Lauricella functions I. Zbl 1254.33017
Ernst, Thomas
3
2012
Factorizations of \(q\)-Pascal matrices. Zbl 1317.15012
Ernst, Thomas
2
2014
\(Q\)-deformed matrix pseudo-groups. Zbl 1195.81078
Ernst, T.
2
2010
\(q\)-calculus as operational algebra. Zbl 1209.33015
Ernst, Thomas
2
2009
The generalized Cauchy determinants. Zbl 1117.15007
Ernst, Thomas
2
2006
\(q\)-generating functions for one and two variables. Zbl 1132.33335
Ernst, Thomas
2
2005
Generalized Cauchy-Vandermonde determinants. Zbl 1082.15013
Ernst, Thomas
2
2005
Expansion formulas for Apostol type \(q\)-Appell polynomials, and their special cases. Zbl 1420.11043
Ernst, Thomas
1
2018
Handbook for the \(q\)-analysis. Zbl 1373.33001
Ernst, Thomas
1
2017
On the symmetric \(q\)-Lauricella functions. Zbl 1347.33037
Ernst, Thomas
1
2016
Convergence aspects for generalizations of \(q\)-hypergeometric functions. Zbl 1318.33033
Ernst, Thomas
1
2015
On certain generalized \(q\)-Appell polynomial expansions. Zbl 1308.05021
Ernst, Thomas
1
2014
On the \(q\)-analogues of Srivastava’s triple hypergeometric functions. Zbl 1301.33019
Ernst, Thomas
1
2013
\(q\)-analogues of general reduction formulas by Buschman and Srivastava and an important \(q\)-operator reminding of MacRobert. Zbl 1229.33031
Ernst, Thomas
1
2011
Jacobi-Gudermann-Glaisher’s elliptic functions according to Heine. Zbl 1226.33011
Ernst, Thomas
1
2010
A renaissance for a \(q\)-umbral calculus. Zbl 1125.33014
Ernst, Thomas
1
2007
Some results for \(q\)-functions of many variables. Zbl 1167.33308
Ernst, Thomas
1
2004
Expansion formulas for Apostol type \(q\)-Appell polynomials, and their special cases. Zbl 1420.11043
Ernst, Thomas
1
2018
On the \(q\)-exponential of matrix \(q\)-Lie algebras. Zbl 1418.17066
Ernst, Thomas
4
2017
Handbook for the \(q\)-analysis. Zbl 1373.33001
Ernst, Thomas
1
2017
Multiplication formulas for \(q\)-Appell polynomials and the multiple \(q\)-power sums. Zbl 1352.05089
Ernst, Thomas
3
2016
On the symmetric \(q\)-Lauricella functions. Zbl 1347.33037
Ernst, Thomas
1
2016
Convergence aspects for generalizations of \(q\)-hypergeometric functions. Zbl 1318.33033
Ernst, Thomas
1
2015
Convergence aspects for \(q\)-Appell functions. I. Zbl 1294.33026
Ernst, Thomas
5
2014
Factorizations of \(q\)-Pascal matrices. Zbl 1317.15012
Ernst, Thomas
2
2014
On certain generalized \(q\)-Appell polynomial expansions. Zbl 1308.05021
Ernst, Thomas
1
2014
An umbral approach to find \(q\)-analogues of matrix formulas. Zbl 1305.15039
Ernst, Thomas
5
2013
\(q\)-Pascal and \(q\)-Wronskian matrices with implications to \(q\)-Appell polynomials. Zbl 1295.05060
Ernst, Thomas
3
2013
On the \(q\)-analogues of Srivastava’s triple hypergeometric functions. Zbl 1301.33019
Ernst, Thomas
1
2013
A comprehensive treatment of \(q\)-calculus. Zbl 1256.33001
Ernst, Thomas
71
2012
\(q\)-Leibniz functional matrices with application to \(q\)-Pascal and \(q\)-Stirling matrices. Zbl 1279.15013
Ernst, Thomas
4
2012
Convergence aspects for \(q\)-Lauricella functions I. Zbl 1254.33017
Ernst, Thomas
3
2012
\(q\)-analogues of general reduction formulas by Buschman and Srivastava and an important \(q\)-operator reminding of MacRobert. Zbl 1229.33031
Ernst, Thomas
1
2011
\(Q\)-deformed matrix pseudo-groups. Zbl 1195.81078
Ernst, T.
2
2010
Jacobi-Gudermann-Glaisher’s elliptic functions according to Heine. Zbl 1226.33011
Ernst, Thomas
1
2010
\(q\)-calculus as operational algebra. Zbl 1209.33015
Ernst, Thomas
2
2009
The different tongues of \(q\)-calculus. Zbl 1161.33302
Ernst, Thomas
10
2008
Examples of a \(q\)-umbral calculus. Zbl 1151.33009
Ernst, Thomas
5
2008
A renaissance for a \(q\)-umbral calculus. Zbl 1125.33014
Ernst, Thomas
1
2007
\(q\)-Bernoulli and \(q\)-Euler polynomials, an umbral approach. Zbl 1116.39013
Ernst, Thomas
14
2006
The generalized Cauchy determinants. Zbl 1117.15007
Ernst, Thomas
2
2006
\(q\)-generating functions for one and two variables. Zbl 1132.33335
Ernst, Thomas
2
2005
Generalized Cauchy-Vandermonde determinants. Zbl 1082.15013
Ernst, Thomas
2
2005
Some results for \(q\)-functions of many variables. Zbl 1167.33308
Ernst, Thomas
1
2004
A method for \(q\)-calculus. Zbl 1041.33013
Ernst, Thomas
22
2003
all top 5

Cited by 175 Authors

19 Ernst, Thomas
6 Awan, Muhammad Uzair
6 Khan, Subuhi
6 Noor, Khalida Inayat
6 Noor, Muhammad Aslam
5 Kim, Taekyun
5 Riyasat, Mumtaz
3 Ahmad, Bashir
3 Hounkonnou, Mahouton Norbert
3 Martins, Natália F.
3 Nahid, Tabinda
3 Neamaty, Abdolali
3 Srivastava, Hari Mohan
3 Tariboon, Jessada
3 Tourani, Mehdi
2 Abdeljawad, Thabet
2 Alzabut, Jehad O.
2 Araci, Serkan
2 Ben Geloun, Joseph
2 Bonfiglioli, Andrea
2 Brito da Cruz, Artur M. C.
2 Han, Zhenlai
2 Jleli, Mohamed
2 Katriel, Jacob
2 Kim, Dae San
2 Li, Xinhui
2 Mahmudov, Nazim Idrisoglu
2 Malinowska, Agnieszka Barbara
2 Mansour, Toufik
2 Nategh, Mehdi
2 Ntouyas, Sotiris K.
2 Persson, Lars-Erik
2 Ramírez, William
2 Řehák, Pavel
2 Rim, Seog-Hoon
2 Samet, Bessem
2 Schork, Matthias
2 Shaimardan, Serikbol
2 Torres, Delfim Fernando Marado
2 Urieles, Alejandro
2 Wang, Guotao
2 Zhao, Fayou
1 Achilles, Rüdiger
1 Acikgoz, Mehmet
1 Adwan, Eman Ahmed
1 Afif, Masmoudi
1 Agheli, Bahram
1 Ahmad, Hijaz
1 Allahverdiev, Bilender Paşaoğlu
1 Alp, Necmettin
1 Al-saedi, Ahmed Eid Salem
1 Alsulami, Hamed Hamdan
1 Aouf, Mohamed Kamal
1 Araújo, Amarisio S.
1 Băleanu, Dumitru I.
1 Basu, Chandrani
1 Batkhin, Alexandr B.
1 Bayram, Mustafa
1 Boutouria, Imen
1 Bouzida, Imed
1 Brahim, Kamel
1 Budakçı, Gülter
1 Butt, Saad Ihsan
1 Cakić, Nenad P.
1 Cangul, Ismail Naci
1 Castilla, Letelier
1 Chan, O-Yeat
1 Cheon, Gi-Sang
1 Chung, Won-Sang
1 Das, Sourav
1 de Camargo, André Pierro
1 Delavar, Mohsen Rostamian
1 Dişibüyük, Çetin
1 Dolgiĭ, Dmitriĭ Viktorovich
1 Dziemiańczuk, Maciej
1 Eini Keleshteri, Marzieh
1 El-Desouky, Beih S.
1 Erden, Samet
1 Fan, Dashan
1 Fink, Thomas M. A.
1 Fitouhi, Ahmed
1 Furtado, Helaine C. M.
1 Ghosh, Arka Prasanna
1 Gochhayat, Priyabrat
1 Goldman, Ron N.
1 Gomaa, R. S.
1 Gouvêa, Érica J. C.
1 Guo, Jiuhua
1 Hou, Chengmin
1 Iftikhar, Sabah
1 Imed, Bouzida
1 Imen, Boutouria
1 İşcan, İmdat
1 Jain, Pankaj
1 Jang, Leechae
1 Jordaan, Kerstin
1 Jung, Ji-Hwan
1 Kähler, Uwe
1 Kanwal, Shazia
1 Karamali, Gholamreza
...and 75 more Authors
all top 5

Cited in 70 Serials

6 Applied Mathematics and Computation
6 Linear Algebra and its Applications
6 Axioms
5 Abstract and Applied Analysis
5 Advances in Difference Equations
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Special Matrices
2 Computers & Mathematics with Applications
2 Journal of Mathematical Physics
2 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
2 Czechoslovak Mathematical Journal
2 Demonstratio Mathematica
2 Journal of Computational and Applied Mathematics
2 Rendiconti del Seminario Matematico della Università di Padova
2 Applied Mathematics Letters
2 The Ramanujan Journal
2 Journal of Inequalities and Applications
2 Communications of the Korean Mathematical Society
2 Tbilisi Mathematical Journal
2 Afrika Matematika
2 Arabian Journal of Mathematics
2 Journal of Function Spaces
1 Advances in Applied Probability
1 Journal of Mathematical Analysis and Applications
1 Mathematical Methods in the Applied Sciences
1 Nuclear Physics. B
1 Reports on Mathematical Physics
1 Fortschritte der Physik
1 Journal of Algebra
1 Journal of the Korean Mathematical Society
1 Journal of Pure and Applied Algebra
1 Le Matematiche
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Programming and Computer Software
1 Quaestiones Mathematicae
1 Bulletin of the Korean Mathematical Society
1 Bulletin of the Iranian Mathematical Society
1 Optimization
1 Forum Mathematicum
1 European Journal of Operational Research
1 Indagationes Mathematicae. New Series
1 Journal of Algebraic Combinatorics
1 Russian Journal of Mathematical Physics
1 Journal of Mathematical Sciences (New York)
1 Computational and Applied Mathematics
1 Turkish Journal of Mathematics
1 Methodology and Computing in Applied Probability
1 Journal of the Australian Mathematical Society
1 Applied Mathematics E-Notes
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Journal of Applied Mathematics and Computing
1 Mediterranean Journal of Mathematics
1 Complex Analysis and Operator Theory
1 Frontiers of Mathematics in China
1 Journal of Mathematical Inequalities
1 Electronic Research Announcements in Mathematical Sciences
1 Advances in Mathematical Physics
1 International Journal of Combinatorics
1 Journal of Pseudo-Differential Operators and Applications
1 Symmetry
1 Eurasian Mathematical Journal
1 Analysis and Mathematical Physics
1 Mathematics
1 Journal of Discrete Mathematics
1 Journal of Operators
1 Cogent Mathematics
1 Journal of Siberian Federal University. Mathematics & Physics
1 Korean Journal of Mathematics

Citations by Year